--- OA_place: publisher _id: '20551' abstract: - lang: eng text: "The space of codimension-2 shapes, such as curves in 3D and surfaces in 4D, is an infinite-dimensional manifold. This thesis explores geometric structures and dynamics on this space, with emphasis on their implications for physics, particularly hydrodynamics.\r\n\r\nOur investigation ranges from theoretical studies of infinite-dimensional symplectic and prequantum geometry to numerical computation of the time evolution of shapes. The thesis presents four main contributions.\r\n\r\nIn the first part, we introduce implicit representations of codimension-2 shapes using a class of complex-valued functions, and prove that the space of these implicit representations forms a prequantum bundle over the codimension-2 shape space. This reveals a new geometric interpretation of the canonical symplectic structure on the codimension-2 shape space.\r\n\r\nIn the second part, we use implicit representations to develop a simulation method for the dynamics of space curves. To handle chaotic systems such as vortex filaments in hydrodynamics, we exploit the infinite degrees of freedom, hidden in both the configuration and dynamics of implicit representations.\r\n\r\nIn the third part, we introduce new symplectic structures on the space of space curves, which generalize the only previously known symplectic structure on this space, allowing for new Hamiltonian dynamics of space curves.\r\n\r\nIn the fourth part, we apply a symplectic viewpoint to a differential geometric problem with practical applications. We derive a new area formula for spherical polygons via prequantization. " acknowledged_ssus: - _id: CampIT acknowledgement: "Projects contained in this thesis were financially supported in part by the\r\nEuropean Research Council with grants 1. ERC Consolidator Grant 101045083 CoDiNA,\r\nand 2. the European Union’s Horizon 2020 research and innovation programme under grant\r\nagreement No. 638176." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Sadashige full_name: Ishida, Sadashige id: 6F7C4B96-A8E9-11E9-A7CA-09ECE5697425 last_name: Ishida orcid: 0000-0002-3121-3100 citation: ama: Ishida S. Symplectic-prequantum structures and dynamics on the codimension-2 shape space. 2025. doi:10.15479/AT-ISTA-20551 apa: Ishida, S. (2025). Symplectic-prequantum structures and dynamics on the codimension-2 shape space. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20551 chicago: Ishida, Sadashige. “Symplectic-Prequantum Structures and Dynamics on the Codimension-2 Shape Space.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20551. ieee: S. Ishida, “Symplectic-prequantum structures and dynamics on the codimension-2 shape space,” Institute of Science and Technology Austria, 2025. ista: Ishida S. 2025. Symplectic-prequantum structures and dynamics on the codimension-2 shape space. Institute of Science and Technology Austria. mla: Ishida, Sadashige. Symplectic-Prequantum Structures and Dynamics on the Codimension-2 Shape Space. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20551. short: S. Ishida, Symplectic-Prequantum Structures and Dynamics on the Codimension-2 Shape Space, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-10-27T10:28:52Z date_published: 2025-10-31T00:00:00Z date_updated: 2026-04-07T12:02:23Z day: '31' ddc: - '516' degree_awarded: PhD department: - _id: GradSch - _id: ChWo doi: 10.15479/AT-ISTA-20551 ec_funded: 1 file: - access_level: open_access checksum: 4eef80afcb67691cbb6549c4756fa534 content_type: application/zip creator: sishida date_created: 2025-11-01T18:26:14Z date_updated: 2025-11-01T18:26:14Z file_id: '20583' file_name: Thesis_tex.zip file_size: 72487812 relation: source_file - access_level: open_access checksum: 1e5a557900bf2dce01966b211b15d0fe content_type: application/pdf creator: sishida date_created: 2025-11-10T08:45:05Z date_updated: 2025-11-10T08:45:05Z file_id: '20623' file_name: Thesis_Sadashige_Ishida_PDFA.pdf file_size: 8945141 relation: main_file success: 1 file_date_updated: 2025-11-10T08:45:05Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '10' oa: 1 oa_version: Published Version page: '141' project: - _id: 2533E772-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '638176' name: 'Big Splash: Efficient Simulation of Natural Phenomena at Extremely Large Scales' - _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088 grant_number: '101045083' name: Computational Discovery of Numerical Algorithms for Animation and Simulation of Natural Phenomena publication_identifier: isbn: - 978-3-99078-070-1 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '12846' relation: part_of_dissertation status: public - id: '12431' relation: part_of_dissertation status: public - id: '17361' relation: part_of_dissertation status: public - id: '20580' relation: part_of_dissertation status: public status: public supervisor: - first_name: Christopher J full_name: Wojtan, Christopher J id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87 last_name: Wojtan orcid: 0000-0001-6646-5546 - first_name: Albert full_name: Chern, Albert last_name: Chern title: Symplectic-prequantum structures and dynamics on the codimension-2 shape space tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20357' acknowledged_ssus: - _id: ScienComp - _id: E-Lib acknowledgement: "I would also like to acknowledge the Austrian Academy of Sciences for funding through the\r\nDOC Fellowship program (fellowship number 26917), the Grants Office at ISTA for their\r\nassistance with the application, and the Scientific Computing Unit for their support regarding\r\nhigh-performance computation.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Natalia full_name: Ruzickova, Natalia id: D2761128-D73D-11E9-A1BF-BA0DE6697425 last_name: Ruzickova citation: ama: Ruzickova N. Effect propagation in biological networks. 2025. doi:10.15479/AT-ISTA-20357 apa: Ruzickova, N. (2025). Effect propagation in biological networks. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20357 chicago: Ruzickova, Natalia. “Effect Propagation in Biological Networks.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20357. ieee: N. Ruzickova, “Effect propagation in biological networks,” Institute of Science and Technology Austria, 2025. ista: Ruzickova N. 2025. Effect propagation in biological networks. Institute of Science and Technology Austria. mla: Ruzickova, Natalia. Effect Propagation in Biological Networks. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20357. short: N. Ruzickova, Effect Propagation in Biological Networks, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-09-15T17:04:48Z date_published: 2025-09-15T00:00:00Z date_updated: 2026-04-07T12:02:39Z day: '15' ddc: - '570' - '530' degree_awarded: PhD department: - _id: GradSch - _id: GaTk doi: 10.15479/AT-ISTA-20357 file: - access_level: closed checksum: 991e81bc16a76b4e0c352567728fd2c5 content_type: application/pdf creator: nruzicko date_created: 2025-09-16T12:56:06Z date_updated: 2025-11-27T10:00:25Z embargo: 2026-09-14 embargo_to: open_access file_id: '20360' file_name: 2025_Ruzickova_Natalia_Thesis.pdf file_size: 43518367 relation: main_file title: Effect propagation in biological networks - access_level: closed checksum: c4ab257adad116083d8a97fac69b2dde content_type: application/zip creator: nruzicko date_created: 2025-09-16T12:59:23Z date_updated: 2025-09-16T12:59:23Z file_id: '20361' file_name: 2025_Ruzickova_Natalia_Thesis_source.zip file_size: 53464789 relation: source_file file_date_updated: 2025-11-27T10:00:25Z has_accepted_license: '1' keyword: - gene regulation - networks - omnigenic model - pancreas - collective behaviour language: - iso: eng month: '09' oa_version: Published Version page: '160' project: - _id: 7bec9174-9f16-11ee-852c-ded9fe5f810e name: Collective behaviour of cells in pancreatic Islets of Langerhans publication_identifier: isbn: - 978-3-99078-066-4 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '18525' relation: part_of_dissertation status: public status: public supervisor: - first_name: Gašper full_name: Tkačik, Gašper id: 3D494DCA-F248-11E8-B48F-1D18A9856A87 last_name: Tkačik orcid: 0000-0002-6699-1455 title: Effect propagation in biological networks type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20147' abstract: - lang: eng text: "Quantitative properties offer a framework for specifying and verifying system behaviors beyond the traditional boolean perspective. For example, while a boolean property may specify whether a server eventually grants every request it receives, a quantitative one may map each server execution to its average response time. This quantitative view is relatively well-studied in the context of static verification. However, although such properties often appear in practice as performance or robustness measures in a dynamic verification context, a general theoretical framework for their analysis and classification from a monitoring perspective is still missing.\r\n\r\nIn this thesis, we aim to develop such a framework that takes resource-precision tradeoffs of monitors as a central consideration. We present the first theory of monitorability for quantitative properties where monitors can be naturally approximate and compared regarding their precision and resource use. In particular, we show that additional monitor resources such as registers or states lead to strictly better approximations for some properties. To enable such analyses in a machine-model independent way, we describe an abstract notion of monitors that can be instantiated with concrete models of monitors. Within this framework, we study how abstract monitors behave and identify classes of properties amenable to approximate monitoring with resource-precision considerations. We then extend the boolean safety-liveness dichotomy and safety-progress hierarchy to the quantitative setting with a monitoring perspective. In particular, we prove that every property is the pointwise minimum of a safety property and a liveness property, and properties that are both safe and co-safe can be approximately monitored arbitrarily precisely using only finitely many states. We also study the classes of quantitative properties definable by finite-state quantitative automata and provide algorithms for deciding their safety or liveness as well as their safety-liveness decompositions. Finally, we present the first general-purpose tool for automating the analysis, verification, and monitoring of quantitative automata.\r\n\r\n-------------------------------------------------------------------------------------------------------------------------------------------------------------- In reference to IEEE copyrighted material which is used with permission in this thesis, the IEEE does not\r\nendorse any of ISTA's products or services. Internal or personal use of this\r\nmaterial is permitted. If interested in reprinting/republishing IEEE copyrighted material for advertising or promotional\r\npurposes or for creating new collective works for resale or redistribution, please go to\r\nhttp://www.ieee.org/publications_standards/publications/rights/rights_link.html to learn how to obtain a License from\r\nRightsLink.\r\n" acknowledgement: "This work was supported in part by the Austrian Science Fund (FWF)\r\nunder grant Z211-N23 (Wittgenstein Award) and the ERC-2020-AdG 101020093.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Naci E full_name: Sarac, Naci E id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425 last_name: Sarac citation: ama: Sarac NE. A monitoring-oriented theory and classification of quantitative specifications. 2025. doi:10.15479/AT-ISTA-20147 apa: Sarac, N. E. (2025). A monitoring-oriented theory and classification of quantitative specifications. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20147 chicago: Sarac, Naci E. “A Monitoring-Oriented Theory and Classification of Quantitative Specifications.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20147. ieee: N. E. Sarac, “A monitoring-oriented theory and classification of quantitative specifications,” Institute of Science and Technology Austria, 2025. ista: Sarac NE. 2025. A monitoring-oriented theory and classification of quantitative specifications. Institute of Science and Technology Austria. mla: Sarac, Naci E. A Monitoring-Oriented Theory and Classification of Quantitative Specifications. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20147. short: N.E. Sarac, A Monitoring-Oriented Theory and Classification of Quantitative Specifications, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-08-07T15:57:57Z date_published: 2025-08-07T00:00:00Z date_updated: 2026-04-07T12:02:57Z day: '07' ddc: - '000' degree_awarded: PhD department: - _id: GradSch - _id: ToHe doi: 10.15479/AT-ISTA-20147 ec_funded: 1 file: - access_level: closed checksum: 0f3015f1db36576a23d8d669afb60b41 content_type: application/x-zip-compressed creator: esarac date_created: 2025-08-21T09:40:28Z date_updated: 2025-09-10T08:19:51Z file_id: '20200' file_name: 2025_Sarac_NaciEge_Thesis.zip file_size: 8884801 relation: source_file - access_level: open_access checksum: 332ed2fe61f580641664ec3f05d30f14 content_type: application/pdf creator: esarac date_created: 2025-08-21T09:40:34Z date_updated: 2025-08-21T09:40:34Z file_id: '20201' file_name: 2025_Sarac_NaciEge_Thesis.pdf file_size: 2955584 relation: main_file success: 1 file_date_updated: 2025-09-10T08:19:51Z has_accepted_license: '1' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: '149' project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: Formal methods for the design and analysis of complex systems - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '11775' relation: part_of_dissertation status: public - id: '13140' relation: part_of_dissertation status: deleted - id: '19741' relation: part_of_dissertation status: public - id: '9356' relation: part_of_dissertation status: public - id: '19643' relation: part_of_dissertation status: deleted - id: '17634' relation: part_of_dissertation status: public - id: '20342' relation: part_of_dissertation status: public - id: '13221' relation: part_of_dissertation status: public status: public supervisor: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 title: A monitoring-oriented theory and classification of quantitative specifications tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20741' abstract: - lang: eng text: "Life on Earth emerged when biomacromolecules were membrane-enclosed in a confined space where many essential chemical reactions were more likely to happen and thereby accelerate evolution. These kinds of membranes separated internal reactions from the outside chaos while staying flexible so that those primordial cells can move, adopt their shape and, most importantly, propagate. Such membrane plasticity still remains a defining feature of all modern cell types. This remarkable ability to change their shape is most prominently observed during their propagation (i.e., cell division). Throughout division, a cell undergoes drastic change in its shape, usually at the middle of the cell, pulling the two opposite membrane sides inward, closer to each other, and, finally, culminating in pinching off to separate the cell into two daughter cells. To achieve this, a cell needs to employ a protein machinery, usually termed divisome, that can coordinate all necessary intracellular processes with membrane remodelling and synthesis of other extracellular structures that decorate a cell. The focus of this dissertation is a membrane-remodelling FtsZ system that is present across all domains of life. FtsZ forms filaments that further self-organize into ring-like structures at the cell septum and together with other division proteins perform cell envelope synthesis and constriction. However, there are still knowledge gaps in our mechanistic understanding of division in both archaea and bacteria. My work presented in this dissertation centres around a simple yet not well understood question: How is the divisome positioned correctly at the mid-cell? To achieve the proper positioning, the divisome needs to (i) be recruited to the mid-cell and (ii) localized orthogonally to the long cell axis. I tackle these processes in two different systems by applying an in vitro biochemical bottom-up reconstitution approach. I use purified components of Haloferax volcanii and Escherichia coli divisome to explore how divisome is recruited to the mid-cell in archaea and how the Z-ring positions orthogonally to the long cell axis in bacteria, respectively. \r\n\r\nFirstly, I collaborate with archaeal cell and structural biologists to explore the assembly of early division proteins in two FtsZ-containing archaeon H. volcanii, a standard model system for understudied archaeal organisms. I particularly address the hierarchy of interactions that allow a tripartite complex formation (SepF-CdpB1-CdpB2) and how the hierarchy of interactions ultimately leads to the recruitment of FtsZ filaments to the septum. This part of work has been published in (Nußbaum et al., 2024). In collaboration with evolutionary biologists, I shed light on ancient features that archaeal divisome has retained to this day and also speculate on a property that it might have lost during the course of evolution. \r\n\r\nNext, I switch my attention to E. coli divisome. Particularly, I address the FtsZ’s intrinsic biophysical property that drives the Z-ring diameter, and thereby the perpendicular orientation of the Z-ring to the long cell axis based on suggested membrane curvature sensing mechanism (Vanhille-Campos et al., 2024). This property allows formation of different Z-ring diameters that match the variety of cell diameters present in prokaryotes. The results showcase that the distribution of charged amino acids in the intrinsically disordered linker at the C-terminus (CTL) of FtsZ is the major determining factor of Z-ring diameter with inter-CTL interactions as an underlying mechanism. \r\n\r\nFinally, I thoroughly explain the methodology I used to address the abovementioned projects, and I finish with a discussion on how early archaeal divisome assembly and curvature sensing mechanism in bacteria, at first sight unrelated topics, are interconnected and important groundwork for both fundamental and translational research. " acknowledged_ssus: - _id: Bio alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Marko full_name: Kojic, Marko id: 73e7ecd4-dc85-11ea-9058-88a16394b160 last_name: Kojic orcid: 0000-0001-7244-8128 citation: ama: Kojic M. Towards understanding the assembly mechanisms of the Z-ring in Archaea and Bacteria. 2025. doi:10.15479/AT-ISTA-20741 apa: Kojic, M. (2025). Towards understanding the assembly mechanisms of the Z-ring in Archaea and Bacteria. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20741 chicago: Kojic, Marko. “Towards Understanding the Assembly Mechanisms of the Z-Ring in Archaea and Bacteria.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20741. ieee: M. Kojic, “Towards understanding the assembly mechanisms of the Z-ring in Archaea and Bacteria,” Institute of Science and Technology Austria, 2025. ista: Kojic M. 2025. Towards understanding the assembly mechanisms of the Z-ring in Archaea and Bacteria. Institute of Science and Technology Austria. mla: Kojic, Marko. Towards Understanding the Assembly Mechanisms of the Z-Ring in Archaea and Bacteria. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20741. short: M. Kojic, Towards Understanding the Assembly Mechanisms of the Z-Ring in Archaea and Bacteria, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-12-09T13:08:11Z date_published: 2025-12-09T00:00:00Z date_updated: 2026-04-07T12:27:58Z day: '09' ddc: - '572' degree_awarded: PhD department: - _id: GradSch - _id: MaLo doi: 10.15479/AT-ISTA-20741 file: - access_level: closed checksum: a3643d07e93134b2490a566b02a4517d content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: mkojic date_created: 2025-12-10T13:09:58Z date_updated: 2025-12-10T13:09:58Z file_id: '20774' file_name: 2025_marko_kojic_thesis.docx file_size: 142876975 relation: source_file - access_level: open_access checksum: 0a096f0af6ccc3a8329d5bb8797ad533 content_type: application/pdf creator: mkojic date_created: 2025-12-10T13:09:38Z date_updated: 2025-12-10T13:09:38Z file_id: '20775' file_name: 2025_marko_kojic_thesis.pdf file_size: 8597045 relation: main_file success: 1 file_date_updated: 2025-12-10T13:09:58Z has_accepted_license: '1' language: - iso: eng month: '12' oa: 1 oa_version: Published Version publication_identifier: isbn: - 978-3-99078-073-2 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '15118' relation: part_of_dissertation status: public status: public supervisor: - first_name: Martin full_name: Loose, Martin id: 462D4284-F248-11E8-B48F-1D18A9856A87 last_name: Loose orcid: 0000-0001-7309-9724 title: Towards understanding the assembly mechanisms of the Z-ring in Archaea and Bacteria tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '19903' abstract: - lang: eng text: "Cooperation, that is, one person paying a cost for another's benefit, is a fundamental principle without which no form of society could exist. The extent to which humans cooperate with each other is also an essential feature that differentiates them from other animals. Cooperation occurs even in the absence of altruistic motivations, when it is selfishly incentivised by the expectation of a future reward. For example, many economic interactions are well described that way. This kind of cooperation requires that people exhibit reciprocal behaviour that acts as a mechanism that rewards cooperation.\r\nWith game-theoretic models, it is possible to formally study potential such mechanisms and under what conditions they can exist. This thesis contributes to this effort by analysing recently introduced models of cooperation that advance on previous work by taking into account the potential for pre-existing inequality among cooperating individuals as well as the different forms that reciprocity can take.\r\nIndividuals may differ both intrinsically, in their abilities, as well as extrinsically, in the amount of resources they have available. Allowing for such differences in a model of cooperation helps to understand how inequality affects the potential for, and outcomes of, cooperation among unequals. In this thesis, it is shown that in the presence of intrinsic inequality, a similar unequal distribution of resources can increase the potential for cooperation. This effect is stronger the smaller the group is in which cooperation takes place. It is also shown that under particular assumptions, if the unequal members of a group vary the size of their contributions to a cooperative effort over time, they can thereby increase their efficiency and improve the collective outcome.\r\nCooperative behaviour in a two-person interaction can be rewarded either by direct reciprocation whenever the same two people interact again, or indirectly by a third party who observed the interaction. In the latter case of indirect reciprocity, individuals are proximally rewarded by a good reputation, which ultimately translates to being rewarded with cooperative behaviour by others. This mechanism can enable selfishly motivated cooperation even in circumstances where individuals are unlikely to meet again, akin to how money facilitates trade. While these two forms of reciprocity have mostly been studied in isolation, this thesis analyses both direct and indirect reciprocity in a general model in order to compare their relative effectiveness under different circumstances. The contribution of this thesis is an extension of previous work regarding a specific kind of interaction, whose parameters allow for convenient mathematical analysis, to the most general set of possible interactions." acknowledgement: "The research for this thesis was supported by the European Research Council\r\n(grant agreements No. 863818 and No. 850529), the European Union’s Horizon 2020 research and innovation programme (Marie Skłodowska-Curie grant agreement No. 754411),\r\nthe Austrian Science Fund (grant DOI 10.55776/COE12), the French Agence Nationale\r\nde la Recherche under the Programme d’investissements d’avenir (project reference 17-\r\nEURE-0010) and the Australian Government through the Australian Research Council\r\n(grant No. SR200100005, “Securing Antarctica’s Environmental Future”)." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Valentin full_name: Hübner, Valentin id: 2c8aa207-dc7d-11ea-9b2f-f22972ecd910 last_name: Hübner orcid: 0009-0001-5009-4987 citation: ama: Hübner V. Reciprocity and inequality in social dilemmas. 2025. doi:10.15479/AT-ISTA-19903 apa: Hübner, V. (2025). Reciprocity and inequality in social dilemmas. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-19903 chicago: Hübner, Valentin. “Reciprocity and Inequality in Social Dilemmas.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-19903. ieee: V. Hübner, “Reciprocity and inequality in social dilemmas,” Institute of Science and Technology Austria, 2025. ista: Hübner V. 2025. Reciprocity and inequality in social dilemmas. Institute of Science and Technology Austria. mla: Hübner, Valentin. Reciprocity and Inequality in Social Dilemmas. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-19903. short: V. Hübner, Reciprocity and Inequality in Social Dilemmas, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-06-25T13:50:10Z date_published: 2025-06-25T00:00:00Z date_updated: 2026-04-07T12:30:57Z day: '25' ddc: - '519' degree_awarded: PhD department: - _id: GradSch - _id: KrCh doi: 10.15479/AT-ISTA-19903 ec_funded: 1 file: - access_level: closed checksum: 794c02f8c82ca59ba6dda3bd7eed871a content_type: application/x-xz creator: vhuebner date_created: 2025-06-25T13:38:07Z date_updated: 2025-06-25T13:38:07Z file_id: '19905' file_name: Thesis Valentin Hübner source.tar.xz file_size: 6192760 relation: source_file - access_level: open_access checksum: ac56063d81c81e40322b6ff5a8c4912e content_type: application/pdf creator: vhuebner date_created: 2025-07-09T13:37:00Z date_updated: 2025-07-09T13:37:00Z file_id: '19976' file_name: Thesis Valentin Hübner.pdf file_size: 4837864 relation: main_file file_date_updated: 2025-07-09T13:37:00Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '06' oa: 1 oa_version: Published Version page: '157' project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '19843' relation: part_of_dissertation status: public - id: '15083' relation: part_of_dissertation status: public - id: '19074' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: Reciprocity and inequality in social dilemmas tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20607' acknowledged_ssus: - _id: Bio - _id: SSU - _id: LifeSc - _id: M-Shop acknowledgement: "I gratefully acknowledge the support of the ISTA Graduate School and the Scientific Service Units of\r\nISTA, whose resources made this work possible—especially the Imaging & Optics Facility, the Lab\r\nSupport Facility, and the Miba Machine Shop. I would like to thank two staff scientists in particular:\r\nRobert Hauschild (Imaging & Optics Facility) and Daniel Balazs (Lab Support Facility), for their\r\nassistance and advice. My PhD was partially funded by the Austrian Science Fund (FWF)\r\n(10.55776/P37169 and 10.55776/COE5)." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Soumyadip full_name: Mondal, Soumyadip id: d25d21ef-dc8d-11ea-abe3-ec4576307f48 last_name: Mondal citation: ama: 'Mondal S. Oxygen and sulfur redox : Conversion kinetics and phase equilibria. 2025. doi:10.15479/AT-ISTA-20607' apa: 'Mondal, S. (2025). Oxygen and sulfur redox : Conversion kinetics and phase equilibria. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20607' chicago: 'Mondal, Soumyadip. “Oxygen and Sulfur Redox : Conversion Kinetics and Phase Equilibria.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20607.' ieee: 'S. Mondal, “Oxygen and sulfur redox : Conversion kinetics and phase equilibria,” Institute of Science and Technology Austria, 2025.' ista: 'Mondal S. 2025. Oxygen and sulfur redox : Conversion kinetics and phase equilibria. Institute of Science and Technology Austria.' mla: 'Mondal, Soumyadip. Oxygen and Sulfur Redox : Conversion Kinetics and Phase Equilibria. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20607.' short: 'S. Mondal, Oxygen and Sulfur Redox : Conversion Kinetics and Phase Equilibria, Institute of Science and Technology Austria, 2025.' corr_author: '1' date_created: 2025-11-07T12:40:54Z date_published: 2025-09-19T00:00:00Z date_updated: 2026-04-07T12:27:24Z day: '19' ddc: - '541' - '543' - '542' degree_awarded: PhD department: - _id: GradSch - _id: StFr doi: 10.15479/AT-ISTA-20607 file: - access_level: closed checksum: b5eed6a3dccb83cd2a8a22e11fd7d867 content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: smondal date_created: 2025-11-13T16:47:47Z date_updated: 2025-11-13T16:47:47Z file_id: '20644' file_name: 2025_Mondal_Soumyadip_Thesis.docx file_size: 32589295 relation: source_file - access_level: closed checksum: 89b1529e0a7b524f46624d73ecadf8cb content_type: application/pdf creator: smondal date_created: 2025-11-13T16:47:46Z date_updated: 2025-11-13T16:47:46Z embargo: 2026-11-13 embargo_to: open_access file_id: '20645' file_name: 2025_Mondal_Soumyadip_Thesis.pdf file_size: 5007370 relation: main_file file_date_updated: 2025-11-13T16:47:47Z has_accepted_license: '1' language: - iso: eng month: '09' oa_version: Published Version page: '71' project: - _id: 8df062be-16d5-11f0-9cad-f559b6612c7e grant_number: P37169 name: Singlet oxygen in non-aqueous oxygen redox chemistry publication_identifier: isbn: - 978-3-99078-071-8 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '12065' relation: part_of_dissertation status: public - id: '13044' relation: part_of_dissertation status: public - id: '20437' relation: part_of_dissertation status: deleted - id: '14687' relation: part_of_dissertation status: public status: public supervisor: - first_name: Stefan Alexander full_name: Freunberger, Stefan Alexander id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425 last_name: Freunberger orcid: 0000-0003-2902-5319 title: 'Oxygen and sulfur redox : Conversion kinetics and phase equilibria' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20449' acknowledged_ssus: - _id: ScienComp acknowledgement: "This work was supported by the Austrian Science Fund (FWF) through grants PAT8748323\r\nand SFB F88-10 awarded to Professor Beatriz Vicoso." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Vincent K full_name: Bett, Vincent K id: 57854184-AAE0-11E9-8D04-98D6E5697425 last_name: Bett citation: ama: Bett VK. Evolution and regulation of the Z chromosome. 2025. doi:10.15479/AT-ISTA-20449 apa: Bett, V. K. (2025). Evolution and regulation of the Z chromosome. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20449 chicago: Bett, Vincent K. “Evolution and Regulation of the Z Chromosome.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20449. ieee: V. K. Bett, “Evolution and regulation of the Z chromosome,” Institute of Science and Technology Austria, 2025. ista: Bett VK. 2025. Evolution and regulation of the Z chromosome. Institute of Science and Technology Austria. mla: Bett, Vincent K. Evolution and Regulation of the Z Chromosome. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20449. short: V.K. Bett, Evolution and Regulation of the Z Chromosome, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-10-11T08:18:51Z date_published: 2025-10-10T00:00:00Z date_updated: 2026-04-07T12:28:15Z day: '10' ddc: - '576' degree_awarded: PhD department: - _id: GradSch - _id: BeVi doi: 10.15479/AT-ISTA-20449 file: - access_level: closed checksum: 26905c22bca417198a733d792d8ce422 content_type: application/pdf creator: vbett date_created: 2025-10-20T13:32:29Z date_updated: 2025-10-20T13:32:29Z embargo: 2026-06-01 embargo_to: open_access file_id: '20507' file_name: 2025_Bett_Vincent_Thesis.pdf file_size: 18507283 relation: main_file - access_level: closed checksum: 6a09a8d126d3628bfd8a35202735f267 content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: vbett date_created: 2025-10-20T13:35:34Z date_updated: 2025-11-06T12:42:09Z file_id: '20508' file_name: 2025_Bett_Vincent_Thesis.docx file_size: 17163921 relation: source_file file_date_updated: 2025-11-06T12:42:09Z has_accepted_license: '1' language: - iso: eng month: '10' oa_version: Published Version page: '114' project: - _id: 8ed82125-16d5-11f0-9cad-fbcae312235b grant_number: PAT 8748323 name: Sex chromosomes in evolution and development - _id: 34ae1506-11ca-11ed-8bc3-c14f4c474396 grant_number: F8810 name: The highjacking of meiosis for asexual reproduction publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '19735' relation: part_of_dissertation status: public - id: '15009' relation: part_of_dissertation status: public status: public supervisor: - first_name: Beatriz full_name: Vicoso, Beatriz id: 49E1C5C6-F248-11E8-B48F-1D18A9856A87 last_name: Vicoso orcid: 0000-0002-4579-8306 title: Evolution and regulation of the Z chromosome tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20777' acknowledgement: "My work has been funded through the project \"Functional Advantages of Critical Brain\r\nDynamics\" of the ISTA interdisciplinary fund and through the FWF.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Predrag full_name: Zivadinovic, Predrag id: 68AA0E5A-AFDA-11E9-9994-141DE6697425 last_name: Zivadinovic citation: ama: Zivadinovic P. Scale-free activity as a basis for spatial learning and memory in the brain. 2025. doi:10.15479/AT-ISTA-20777 apa: Zivadinovic, P. (2025). Scale-free activity as a basis for spatial learning and memory in the brain. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20777 chicago: Zivadinovic, Predrag. “Scale-Free Activity as a Basis for Spatial Learning and Memory in the Brain.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20777. ieee: P. Zivadinovic, “Scale-free activity as a basis for spatial learning and memory in the brain,” Institute of Science and Technology Austria, 2025. ista: Zivadinovic P. 2025. Scale-free activity as a basis for spatial learning and memory in the brain. Institute of Science and Technology Austria. mla: Zivadinovic, Predrag. Scale-Free Activity as a Basis for Spatial Learning and Memory in the Brain. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20777. short: P. Zivadinovic, Scale-Free Activity as a Basis for Spatial Learning and Memory in the Brain, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-12-10T19:37:41Z date_published: 2025-12-11T00:00:00Z date_updated: 2026-04-07T12:30:06Z day: '11' ddc: - '570' - '539' - '571' degree_awarded: PhD department: - _id: GradSch - _id: JoCs doi: 10.15479/AT-ISTA-20777 file: - access_level: closed checksum: aae9d1ed53f7b67f75e289c26a02b72f content_type: application/pdf creator: pzivadin date_created: 2025-12-10T19:28:20Z date_updated: 2025-12-11T11:15:17Z embargo: 2026-06-11 embargo_to: open_access file_id: '20778' file_name: 2025_Zivadinovic_Predrag_PhD_thesis.pdf file_size: 8105379 relation: main_file - access_level: closed checksum: 8a08a3804ce7d9d625fdf1631113da8c content_type: application/zip creator: pzivadin date_created: 2025-12-10T19:28:10Z date_updated: 2025-12-10T19:28:10Z file_id: '20779' file_name: 2025_Zivadinovic_Predrag_PhD_thesis_source.zip file_size: 8512240 relation: source_file file_date_updated: 2025-12-11T11:15:17Z has_accepted_license: '1' language: - iso: eng month: '12' oa_version: Published Version page: '104' project: - _id: eb943429-77a9-11ec-83b8-9f471cdf5c67 grant_number: M03318 name: Functional Advantages of Critical Brain Dynamics publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria status: public supervisor: - first_name: Jozsef L full_name: Csicsvari, Jozsef L id: 3FA14672-F248-11E8-B48F-1D18A9856A87 last_name: Csicsvari orcid: 0000-0002-5193-4036 title: Scale-free activity as a basis for spatial learning and memory in the brain type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20234' abstract: - lang: eng text: "Game Theory is the mathematical formalization of social dynamics - systems where agents interact over time and the evolution of the state of the system depends on the decisions of every player. \r\nThis thesis takes the perspective of a single player and focuses on what they can guarantee in the worst case over the behavior of other players.\r\nIn other words, we consider that the objective of every other player in the game is exactly the opposite to the player.\r\nWe focus on sustained interactions over time, where the players repeatedly obtain quantitative rewards over time, and they are interested in maximizing their long-term performance.\t\r\nFormally, this thesis focuses on zero-sum games with the liminf average objective.\r\nTwo fundamental questions that Game Theory aims to answer are the following.\r\n\r\n1. How much can a player guarantee to obtain after the interaction?\r\n\r\n2. How to act in order to obtain the previously mentioned guarantee?\r\n\r\nThese questions are formalized by the concepts of \"value\" and \"optimal strategies\". \t\r\nWe study their properties on games that exhibit one or more of the following properties. \r\n\r\n1. Partial Observation: \r\nthe players can not perfectly observe the current state of the system during the game. We consider the model of (finite) Partially Observable Markov Decision Processes and prove that finite-memory strategies are sufficient to approximately guarantee the value.\r\n\r\n2. Perturbed Description: \r\nthe formal description of the game is perturbed by a small parameter.\r\nWe consider the model of (finite) Perturbed Matrix Games, and provide algorithms to check various robustness properties and to compute the parameterized value and optimal strategies.\r\n\r\n3. Stochastic Transitions: \r\nthe actions of the players determine the behavior of the evolution of the system, described as a probability distribution over the next state.\r\nWe consider the model of (finite) Perturbed Stochastic Games and provide formulas for the marginal value.\r\n\r\n4. Infinite States: \r\nthe system can be in infinitely many states.\r\nWe consider the model of Random Dynamic Games on a class of infinite graphs, prove the existence of the value, and quantify the concentration of finite-horizon values." acknowledgement: "Funding sources The works included in this thesis were partially supported by:\r\n• Austrian Science Fund (FWF), grants 10.55776/COE12 and No RiSE/SHiNE S11407,\r\n• French Agence Nationale de la Recherche (ANR), grants ANR-21-CE40-0020 (CONVERGENCE) and ANR-20-CE40-0002 (GrHyDy),\r\n• Fondation Mathématique Jaques Hadamard, grant PGMO RSG 2018-0031H,\r\n• European Research Council (ERC), Consolidator grant 863818 (ForM-SMArt),\r\n• Agencia Nacional de Investigación y Desarrollo (ANID Chile), grant ACT210005,\r\n• Fondo Nacional de Desarrollo Científico y Tecnológico (Fondecyt Chile), grant 1220174,\r\n• Comisión Nacional de Investigación Científica y Tecnológica (CONICYT Chile), grant\r\nPII 20150140,\r\n• Evaluation-orientation de la Coopération Scientifique and Comisión Nacional de Investigación Científica y Tecnológica (ECOS-CONICYT), grant C15E03,\r\n• European Cooperation in Science and Technology (E-COST), grants CA16228 - European\r\nNetwork for Game Theory (GAMENET) and E-COST-GRANT-CA16228-c5a69859.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Raimundo J full_name: Saona Urmeneta, Raimundo J id: BD1DF4C4-D767-11E9-B658-BC13E6697425 last_name: Saona Urmeneta orcid: 0000-0001-5103-038X citation: ama: 'Saona Urmeneta RJ. Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games. 2025. doi:10.15479/AT-ISTA-20234' apa: 'Saona Urmeneta, R. J. (2025). Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20234' chicago: 'Saona Urmeneta, Raimundo J. “Robustness of Solutions in Game Theory : Values and Strategies in Partially Observable, Perturbed, Stochastic, and Infinite Games.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20234.' ieee: 'R. J. Saona Urmeneta, “Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games,” Institute of Science and Technology Austria, 2025.' ista: 'Saona Urmeneta RJ. 2025. Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games. Institute of Science and Technology Austria.' mla: 'Saona Urmeneta, Raimundo J. Robustness of Solutions in Game Theory : Values and Strategies in Partially Observable, Perturbed, Stochastic, and Infinite Games. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20234.' short: 'R.J. Saona Urmeneta, Robustness of Solutions in Game Theory : Values and Strategies in Partially Observable, Perturbed, Stochastic, and Infinite Games, Institute of Science and Technology Austria, 2025.' corr_author: '1' date_created: 2025-08-27T14:00:13Z date_published: 2025-08-27T00:00:00Z date_updated: 2026-04-07T12:31:22Z day: '27' ddc: - '519' degree_awarded: PhD department: - _id: GradSch - _id: KrCh doi: 10.15479/AT-ISTA-20234 ec_funded: 1 file: - access_level: open_access checksum: 394a651f7de7085e509ef856ffe7bd97 content_type: application/pdf creator: rsaonaur date_created: 2025-08-28T14:47:07Z date_updated: 2025-08-28T14:47:07Z file_id: '20240' file_name: 2025_Saona_Raimundo_Thesis.pdf file_size: 1503623 relation: main_file success: 1 - access_level: closed checksum: 09fb2633e66aac80433d373f4180c5b4 content_type: application/zip creator: rsaonaur date_created: 2025-08-28T14:47:12Z date_updated: 2025-08-28T14:47:12Z file_id: '20241' file_name: 2025_Saona_Raimundo_Thesis.zip file_size: 622747 relation: source_file file_date_updated: 2025-08-28T14:47:12Z has_accepted_license: '1' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: '125' project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9311' relation: part_of_dissertation status: public - id: '17037' relation: part_of_dissertation status: public - id: '18266' relation: part_of_dissertation status: public - id: '19508' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: 'Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games' type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20575' abstract: - lang: eng text: "This thesis deals with eigenvalue and eigenvector universality results for random matrix ensembles equipped with non-trivial spatial structure. We consider both mean-field models with a general variance profile (Wigner-type matrices) and correlation structure (correlated matrices) among the entries, as well as non-mean-field random band matrices with bandwidth W >> N^(1/2).\r\n\r\nTo extract the universal properties of random matrix spectra and eigenvectors, we obtain concentration estimates for their resolvent, the local laws, which generalize the celebrated Wigner semicircle law for a broad class of random matrices to much finer spectral scales. The local laws hold for both a single resolvent as well as for products of multiple resolvents, known as resolvent chains, and express the remarkable approximately-deterministic behavior of these objects down to the microscopic scale.\r\n\r\nOur primary tool for establishing the local laws is the dynamical Zigzag strategy, which we develop in the setting of spatially-inhomogeneous random matrices. Our proof method systematically addresses the challenges arising from non-trivial spatial structures and is robust to all types of singularities in the spectrum, as we demonstrate in the correlated setting. Furthermore, we incorporate the analysis of the deterministic resolvent chain approximations into the dynamical framework of the Zigzag strategy, synthesizing a unified toolkit for establishing multi-resolvent local laws.\r\n\r\nUsing these methods, we prove complete eigenvector delocalization, the Eigenstate Thermalization Hypothesis, and Wigner-Dyson universality in the bulk for random band matrices down to the optimal bandwidth W >> N^(1/2). For mean-field ensembles, we establish universality of local eigenvalue statistics at the cups for random matrices with correlated entries, and the Eigenstate Thermalization Hypothesis for Wigner-type matrices in the bulk of the spectrum.\r\n\r\nFinally, this thesis also contains other applications of the multi-resolvent local laws to spatially-inhomogeneous random matrices, obtained prior to the development of the Zigzag strategy. In particular, we provide a complete analysis of mesoscopic linear-eigenvalue statistics of Wigner-type matrices in all spectral regimes, including the novel cusps, and rigorously establish the prethermalization phenomenon for deformed Wigner matrices.\r\n\r\nThe main body of this thesis consists of seven research papers (listed on page xi), each presented in a separate chapter with its own introduction and all relevant context, suitable to be read independently. We ask the reader’s indulgence for the repetitions in the historical overviews and other minor redundancies that remain among the chapters as a result. The overall Introduction, preceding the chapters, provides a condensed, informal summary of the main ideas and concepts at the core of these works.\r\n" acknowledgement: "The work comprising this thesis was supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo.101020331 awarded to my advisor." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Volodymyr full_name: Riabov, Volodymyr id: 1949f904-edfb-11eb-afb5-e2dfddabb93b last_name: Riabov citation: ama: Riabov V. Universality in random matrices with spatial structure. 2025. doi:10.15479/AT-ISTA-20575 apa: Riabov, V. (2025). Universality in random matrices with spatial structure. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20575 chicago: Riabov, Volodymyr. “Universality in Random Matrices with Spatial Structure.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20575. ieee: V. Riabov, “Universality in random matrices with spatial structure,” Institute of Science and Technology Austria, 2025. ista: Riabov V. 2025. Universality in random matrices with spatial structure. Institute of Science and Technology Austria. mla: Riabov, Volodymyr. Universality in Random Matrices with Spatial Structure. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20575. short: V. Riabov, Universality in Random Matrices with Spatial Structure, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-10-29T19:12:24Z date_published: 2025-11-03T00:00:00Z date_updated: 2026-04-07T12:32:20Z day: '3' ddc: - '515' - '519' degree_awarded: PhD department: - _id: GradSch - _id: LaEr doi: 10.15479/AT-ISTA-20575 ec_funded: 1 file: - access_level: open_access checksum: 6a0487b2b66bb35d44b394756d44b8b4 content_type: application/pdf creator: vriabov date_created: 2025-10-29T18:53:59Z date_updated: 2025-10-29T18:53:59Z file_id: '20577' file_name: riabov_thesis-pdfa.pdf file_size: 7536583 relation: main_file success: 1 - access_level: closed checksum: 224efda6bf9864d296a1e5e0124c1e8f content_type: application/x-zip-compressed creator: vriabov date_created: 2025-10-29T18:54:53Z date_updated: 2025-10-29T18:54:53Z file_id: '20578' file_name: manuscript.zip file_size: 17841612 relation: source_file file_date_updated: 2025-10-29T18:54:53Z has_accepted_license: '1' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: '436' project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication_identifier: isbn: - 978-3-99078-064-0 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '20322' relation: part_of_dissertation status: public - id: '18764' relation: part_of_dissertation status: public - id: '13317' relation: part_of_dissertation status: public - id: '19368' relation: part_of_dissertation status: deleted - id: '18554' relation: part_of_dissertation status: public - id: '20576' relation: part_of_dissertation status: public - id: '17174' relation: part_of_dissertation status: public - id: '19547' relation: part_of_dissertation status: public - id: '19598' relation: part_of_dissertation status: public status: public supervisor: - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 title: Universality in random matrices with spatial structure tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20811' abstract: - lang: eng text: "\tThis thesis is organized into two parts, each comprising two chapters: Chapter 1 and 2 offer models for the evolution of vaccine resistance in response to diverse vaccination strategies. Chapter 3 and 4 review the statistics of records, their connection to models of innovation and an application to the cultural evolution of sports.\r\n\tIn chapter 1 we present a modelling study from 2021 on the evolution of SARS-CoV-2. At that time the vaccine-resistant Omicron variant had not yet evolved. In our model we consider a population that is becoming vaccinated over time, while a pathogen is spreading in the population and eventually becoming resistant to the vaccine. We explore effective pharmaceutical and non-pharmaceutical interventions to prevent the emergence of vaccine resistance. \r\n\tIn chapter 2 we model a particular set of complex vaccination strategies, mosaic and pyramid vaccination, where an immunologically diverse portfolio of vaccines is considered. We find that a bet-hatching strategy, in which vaccine types are distributed in the population, is effective at hindering the evolution of vaccine resistance if mutation rates are high. \r\n\tIn chapter 3 we switch gears and present a review on the statistics of records. We highlight similarities and analogies to other models in the fields of statistical physics, evolution and innovation. This offers interesting complimentary perspectives on well-known models. \r\n\tIn chapter 4 we apply models of record statistics and innovation to study cultural evolution in sport. We propose a model of sport evolution that combines deterministic improvements in performance and stochastic bursts of improvements due to innovation. " alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Simon full_name: Rella, Simon id: B4765ACA-AA38-11E9-AC9A-0930E6697425 last_name: Rella citation: ama: 'Rella S. Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation. 2025. doi:10.15479/AT-ISTA-20811' apa: 'Rella, S. (2025). Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20811' chicago: 'Rella, Simon. “Adaptive Processes in Biology and Culture : Models of Evolving Vaccine Resistance and the Record Statistics of Innovation.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20811.' ieee: 'S. Rella, “Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation,” Institute of Science and Technology Austria, 2025.' ista: 'Rella S. 2025. Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation. Institute of Science and Technology Austria.' mla: 'Rella, Simon. Adaptive Processes in Biology and Culture : Models of Evolving Vaccine Resistance and the Record Statistics of Innovation. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20811.' short: 'S. Rella, Adaptive Processes in Biology and Culture : Models of Evolving Vaccine Resistance and the Record Statistics of Innovation, Institute of Science and Technology Austria, 2025.' corr_author: '1' date_created: 2025-12-12T14:39:56Z date_published: 2025-12-15T00:00:00Z date_updated: 2026-04-07T12:34:58Z day: '15' ddc: - '616' - '576' - '614' - '519' degree_awarded: PhD department: - _id: GradSch - _id: GaTk - _id: FyKo doi: 10.15479/AT-ISTA-20811 file: - access_level: open_access checksum: a0bd7a585720e60df284101b8afdf6bb content_type: application/pdf creator: srella date_created: 2025-12-16T21:49:52Z date_updated: 2025-12-16T21:49:52Z file_id: '20831' file_name: 2025_Rella_Simon_Thesis.pdf file_size: 29019662 relation: main_file success: 1 - access_level: open_access checksum: b8b3a90932ae1d96d307838710f46e32 content_type: application/zip creator: srella date_created: 2025-12-16T21:52:19Z date_updated: 2025-12-16T21:52:19Z file_id: '20832' file_name: 2025_Rella_Simon_Thesis_Sourcefiles.zip file_size: 42094025 relation: source_file file_date_updated: 2025-12-16T21:52:19Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '12' oa: 1 oa_version: Published Version page: '95' publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '18307' relation: part_of_dissertation status: public - id: '9905' relation: part_of_dissertation status: public status: public supervisor: - first_name: Gašper full_name: Tkačik, Gašper id: 3D494DCA-F248-11E8-B48F-1D18A9856A87 last_name: Tkačik orcid: 0000-0002-6699-1455 - first_name: Fyodor full_name: Kondrashov, Fyodor id: 44FDEF62-F248-11E8-B48F-1D18A9856A87 last_name: Kondrashov orcid: 0000-0001-8243-4694 title: 'Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation' tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_embargo: '6' OA_place: publisher _id: '20798' alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Sebastian full_name: Wald, Sebastian id: 133F200A-B015-11E9-AD41-0EDAE5697425 last_name: Wald orcid: 0000-0002-5869-1604 citation: ama: Wald S. Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry. 2025. doi:10.15479/AT-ISTA-20798 apa: Wald, S. (2025). Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20798 chicago: Wald, Sebastian. “Atoms in a Propagating-Wave Cavity for Squeezed Mach-Zehnder Atom Interferometry.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20798. ieee: S. Wald, “Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry,” Institute of Science and Technology Austria, 2025. ista: Wald S. 2025. Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry. Institute of Science and Technology Austria. mla: Wald, Sebastian. Atoms in a Propagating-Wave Cavity for Squeezed Mach-Zehnder Atom Interferometry. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20798. short: S. Wald, Atoms in a Propagating-Wave Cavity for Squeezed Mach-Zehnder Atom Interferometry, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-12-11T11:48:11Z date_published: 2025-12-11T00:00:00Z date_updated: 2026-04-07T12:35:11Z day: '11' ddc: - '530' degree_awarded: PhD department: - _id: GradSch - _id: OnHo doi: 10.15479/AT-ISTA-20798 file: - access_level: closed checksum: 1be72faf529a5e8a2d03cb3d5f808b77 content_type: application/pdf creator: swald date_created: 2025-12-12T11:53:42Z date_updated: 2025-12-17T09:46:34Z embargo: 2026-06-15 embargo_to: open_access file_id: '20809' file_name: 2025_Wald_Sebastian_Thesis.pdf file_size: 47536855 relation: main_file - access_level: closed checksum: 8c3a1904dceb4bcd04bc9f14b2594bab content_type: application/x-zip-compressed creator: swald date_created: 2025-12-12T11:54:55Z date_updated: 2025-12-12T13:07:32Z file_id: '20810' file_name: 2025_Wald_Sebastian_Thesis.zip file_size: 40127601 relation: source_file file_date_updated: 2025-12-17T09:46:34Z has_accepted_license: '1' keyword: - entanglement-enhanced atom interferometry - cavity QED - spin-squeezing - dipole trap - quantum optics language: - iso: eng month: '12' oa_version: Published Version page: '152' publication_identifier: isbn: - 978-3-99078-075-6 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '14759' relation: part_of_dissertation status: public status: public supervisor: - first_name: Onur full_name: Hosten, Onur id: 4C02D85E-F248-11E8-B48F-1D18A9856A87 last_name: Hosten orcid: 0000-0002-2031-204X title: Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20339' abstract: - lang: eng text: "This thesis investigates the interplay between algebraic and topological methods and combinatorial problems, focusing on approximate graph colourings and mass partitioning. The unifying theme throughout the dissertation is the use of continuous maps and symmetry constraints to extract combinatorial insights.\r\n\r\nWe first explore approximate graph colouring problems and more generally promise constraint satisfaction problems. Using tools from equivariant topology in combination with the general theory of polymorphism of a promise constraint satisfaction problem, we establish hardness for specific types of approximations.\r\n\r\nIn the second part, we address mass partitioning problems, where one seeks to divide geometric objects or measures in Euclidean space into parts of equal size using hyperplanes. Employing techniques from topological combinatorics (configuration space/test map setup and Borsuk–Ulam type theorems), we both obtain a new equipartitioning result in the and provide a fast algorithm for computing equipartitioning of point sets in 3D.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Gianluca full_name: Tasinato, Gianluca id: 0433290C-AF8F-11E9-A4C7-F729E6697425 last_name: Tasinato citation: ama: 'Tasinato G. Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems. 2025. doi:10.15479/AT-ISTA-20339' apa: 'Tasinato, G. (2025). Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20339' chicago: 'Tasinato, Gianluca. “Topological Methods in Discrete Geometry and Theoretical Computer Science : Measure Partitioning and Constraint Satisfaction Problems.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20339.' ieee: 'G. Tasinato, “Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems,” Institute of Science and Technology Austria, 2025.' ista: 'Tasinato G. 2025. Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems. Institute of Science and Technology Austria.' mla: 'Tasinato, Gianluca. Topological Methods in Discrete Geometry and Theoretical Computer Science : Measure Partitioning and Constraint Satisfaction Problems. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20339.' short: 'G. Tasinato, Topological Methods in Discrete Geometry and Theoretical Computer Science : Measure Partitioning and Constraint Satisfaction Problems, Institute of Science and Technology Austria, 2025.' corr_author: '1' date_created: 2025-09-10T12:17:55Z date_published: 2025-09-10T00:00:00Z date_updated: 2026-04-07T12:36:51Z day: '10' ddc: - '516' degree_awarded: PhD department: - _id: GradSch - _id: UlWa doi: 10.15479/AT-ISTA-20339 file: - access_level: closed checksum: ae097a515b9bb4d4b025ca854ae2ed76 content_type: application/x-zip-compressed creator: gtasinat date_created: 2025-09-11T12:24:12Z date_updated: 2025-09-11T12:24:12Z file_id: '20344' file_name: thesis-source.zip file_size: 2218562 relation: source_file - access_level: open_access checksum: 04b2e016409e52167ce42b0eef839fbf content_type: application/pdf creator: gtasinat date_created: 2025-09-11T12:26:14Z date_updated: 2025-09-11T12:26:14Z file_id: '20345' file_name: 2025_Tasinato_Gianluca_Thesis.pdf file_size: 10071982 relation: main_file success: 1 file_date_updated: 2025-09-11T12:26:14Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-sa/4.0/ month: '09' oa: 1 oa_version: Published Version page: '106' publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '20008' relation: part_of_dissertation status: public - id: '15168' relation: part_of_dissertation status: public - id: '19860' relation: part_of_dissertation status: public status: public supervisor: - first_name: Uli full_name: Wagner, Uli id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 title: 'Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems' tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '19540' abstract: - lang: eng text: "This thesis deals with several different models for complex quantum mechanical systems and is structured in three main parts. \r\n\t\r\nIn Part I, we study mean field random matrices as models for quantum Hamiltonians. Our focus lies on proving concentration estimates for resolvents of random matrices, so-called local laws, mostly in the setting of multiple resolvents. These estimates have profound consequences for eigenvector overlaps and thermalization problems. More concretely, we obtain, e.g., the optimal eigenstate thermalization hypothesis (ETH) uniformly in the spectrum for Wigner matrices, an optimal lower bound on non-Hermitian eigenvector overlaps, and prethermalization for deformed Wigner matrices.\tIn order to prove our novel multi-resolvent local laws, we develop and devise two main methods, the static Psi-method and the dynamical Zigzag strategy. \r\n\t\r\nIn Part II, we study Bardeen-Cooper-Schrieffer (BCS) theory, the standard mean field microscopic theory of superconductivity. We focus on asymptotic formulas for the characteristic critical temperature and energy gap of a superconductor and prove universality of their ratio in various physical regimes. Additionally, we investigate multi-band superconductors and show that inter-band coupling effects can only enhance the critical temperature. \r\n\t\r\nIn Part III, we study quantum lattice systems. On the one hand, we show a strong version of the local-perturbations-perturb-locally (LPPL) principle for the ground state of weakly interacting quantum spin systems with a uniform on-site gap. On the other hand, we introduce a notion of a local gap and rigorously justify response theory and the Kubo formula under the weakened assumption of a local gap. \r\n\t\r\nAdditionally, we discuss two classes of problems which do not fit into the three main parts of the thesis. These are deformational rigidity of Liouville metrics on the torus and relativistic toy models of particle creation via interior-boundary-conditions (IBCs). " alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X citation: ama: 'Henheik SJ. Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems. 2025. doi:10.15479/AT-ISTA-19540' apa: 'Henheik, S. J. (2025). Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-19540' chicago: 'Henheik, Sven Joscha. “Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-19540.' ieee: 'S. J. Henheik, “Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems,” Institute of Science and Technology Austria, 2025.' ista: 'Henheik SJ. 2025. Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems. Institute of Science and Technology Austria.' mla: 'Henheik, Sven Joscha. Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-19540.' short: 'S.J. Henheik, Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems, Institute of Science and Technology Austria, 2025.' corr_author: '1' date_created: 2025-04-10T21:21:18Z date_published: 2025-04-10T00:00:00Z date_updated: 2026-04-07T12:37:12Z day: '10' ddc: - '519' degree_awarded: PhD department: - _id: GradSch - _id: LaEr doi: 10.15479/AT-ISTA-19540 ec_funded: 1 file: - access_level: closed checksum: b8477ae5578436c72c3bb4193ad34ac5 content_type: application/zip creator: shenheik date_created: 2025-04-10T21:14:18Z date_updated: 2025-04-10T21:14:18Z file_id: '19542' file_name: Henheik-Thesis_source_final.zip file_size: 4107587 relation: source_file - access_level: open_access checksum: e9fc0ea12ec46c9f71110c33217c4140 content_type: application/pdf creator: shenheik date_created: 2025-04-11T13:16:05Z date_updated: 2025-04-11T13:16:05Z file_id: '19553' file_name: Henheik-Thesis-pdfa_FINAL.pdf file_size: 9999492 relation: main_file success: 1 - access_level: closed checksum: f94580f86c785e7108eb116cd189e225 content_type: application/pdf creator: cchlebak date_created: 2025-04-23T14:10:27Z date_updated: 2025-04-23T14:10:27Z file_id: '19615' file_name: Henheik-Thesis-Volume1_print.pdf file_size: 13276442 relation: other - access_level: closed checksum: b927ead3c78020ffb32918911deedb74 content_type: application/pdf creator: cchlebak date_created: 2025-04-23T14:11:05Z date_updated: 2025-04-23T14:11:05Z file_id: '19616' file_name: Henheik-Thesis-Volume2_print.pdf file_size: 7628767 relation: other file_date_updated: 2025-04-23T14:11:05Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '720' project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication_identifier: isbn: - 978-3-99078-057-2 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '14343' relation: part_of_dissertation status: public - id: '18656' relation: part_of_dissertation status: public - id: '13317' relation: part_of_dissertation status: public - id: '11732' relation: part_of_dissertation status: public - id: '12184' relation: part_of_dissertation status: public - id: '14421' relation: part_of_dissertation status: public - id: '10623' relation: part_of_dissertation status: public - id: '18112' relation: part_of_dissertation status: public - id: '19001' relation: part_of_dissertation status: public - id: '10642' relation: part_of_dissertation status: public - id: '19545' relation: part_of_dissertation status: public - id: '19546' relation: part_of_dissertation status: public - id: '19550' relation: part_of_dissertation status: public - id: '19551' relation: part_of_dissertation status: public - id: '19552' relation: part_of_dissertation status: public - id: '14542' relation: part_of_dissertation status: public - id: '17049' relation: part_of_dissertation status: public - id: '18764' relation: part_of_dissertation status: public - id: '19547' relation: part_of_dissertation status: public - id: '19548' relation: part_of_dissertation status: public status: public supervisor: - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 title: 'Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20212' acknowledged_ssus: - _id: Bio - _id: PreCl acknowledgement: "I would also like to\r\nthank the Austrian Academy of Sciences for awarding me a 2-year DOC fellowship\r\n(DOC26253)." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Osvaldo full_name: Miranda, Osvaldo id: 862A3C56-A8BF-11E9-B4FA-D9E3E5697425 last_name: Miranda orcid: 0000-0001-6618-6889 citation: ama: Miranda O. Unraveling the role of Pten in cortical stem cell lineage progression using MADM. 2025. doi:10.15479/AT-ISTA-20212 apa: Miranda, O. (2025). Unraveling the role of Pten in cortical stem cell lineage progression using MADM. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20212 chicago: Miranda, Osvaldo. “Unraveling the Role of Pten in Cortical Stem Cell Lineage Progression Using MADM.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20212. ieee: O. Miranda, “Unraveling the role of Pten in cortical stem cell lineage progression using MADM,” Institute of Science and Technology Austria, 2025. ista: Miranda O. 2025. Unraveling the role of Pten in cortical stem cell lineage progression using MADM. Institute of Science and Technology Austria. mla: Miranda, Osvaldo. Unraveling the Role of Pten in Cortical Stem Cell Lineage Progression Using MADM. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20212. short: O. Miranda, Unraveling the Role of Pten in Cortical Stem Cell Lineage Progression Using MADM, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-08-22T14:07:00Z date_published: 2025-08-22T00:00:00Z date_updated: 2026-04-14T08:16:57Z day: '22' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: SiHi doi: 10.15479/AT-ISTA-20212 file: - access_level: closed checksum: 3331f76bbef74ff4908e2d2c9262045c content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: omiranda date_created: 2025-08-26T09:03:50Z date_updated: 2025-08-26T09:03:50Z file_id: '20230' file_name: 2025_MirandaRomero_OsvaldoAntonio_Thesis.docx file_size: 32887334 relation: source_file - access_level: closed checksum: 02509d50cff8e35c5bcbf71e8d658176 content_type: application/pdf creator: omiranda date_created: 2025-08-26T09:05:55Z date_updated: 2025-08-26T10:43:30Z embargo: 2026-08-26 embargo_to: open_access file_id: '20231' file_name: 2025_MirandaRomero_OsvaldoAntonio_Thesis.pdf file_size: 28636240 relation: main_file file_date_updated: 2025-08-26T10:43:30Z has_accepted_license: '1' keyword: - Pten - mtor - cortical development - MADM - Mapk language: - iso: eng month: '08' oa_version: Published Version page: '119' project: - _id: 34c9fbcb-11ca-11ed-8bc3-98fa5658610d grant_number: '26253' name: Molecular Mechanisms Regulating Cortical Neural Stem Cell Lineage Progression and Astrocyte Development publication_identifier: isbn: - 978-3-99078-063-3 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '17425' relation: part_of_dissertation status: public status: public supervisor: - first_name: Simon full_name: Hippenmeyer, Simon id: 37B36620-F248-11E8-B48F-1D18A9856A87 last_name: Hippenmeyer orcid: 0000-0003-2279-1061 title: Unraveling the role of Pten in cortical stem cell lineage progression using MADM type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20737' acknowledged_ssus: - _id: Bio - _id: PreCl acknowledgement: "I also want to thank ISTA and the Austrian Science Fund FWF SFB F78 (F7805) for financially\r\nsupporting my research." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Raquel full_name: Casado Polanco, Raquel id: 15240fc1-dbcd-11ea-9d1d-ac5a786425fd last_name: Casado Polanco orcid: 0000-0001-8293-4568 citation: ama: Casado Polanco R. Role of NOTCH signaling in radial glial progenitor lineage progression. 2025. doi:10.15479/AT-ISTA-20737 apa: Casado Polanco, R. (2025). Role of NOTCH signaling in radial glial progenitor lineage progression. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20737 chicago: Casado Polanco, Raquel. “Role of NOTCH Signaling in Radial Glial Progenitor Lineage Progression.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20737. ieee: R. Casado Polanco, “Role of NOTCH signaling in radial glial progenitor lineage progression,” Institute of Science and Technology Austria, 2025. ista: Casado Polanco R. 2025. Role of NOTCH signaling in radial glial progenitor lineage progression. Institute of Science and Technology Austria. mla: Casado Polanco, Raquel. Role of NOTCH Signaling in Radial Glial Progenitor Lineage Progression. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20737. short: R. Casado Polanco, Role of NOTCH Signaling in Radial Glial Progenitor Lineage Progression, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-12-09T09:04:18Z date_published: 2025-12-09T00:00:00Z date_updated: 2026-04-14T08:16:58Z day: '09' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: SiHi doi: 10.15479/AT-ISTA-20737 file: - access_level: closed checksum: 71e0fdf4619b0d70d03657ad7348137d content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: rcasadop date_created: 2025-12-11T09:28:09Z date_updated: 2025-12-11T11:18:37Z file_id: '20793' file_name: 2025_CasadoPolanco_Raquel_Thesis.docx file_size: 78207207 relation: source_file - access_level: closed checksum: 58cf2f25c33567723bc754a019c3e396 content_type: application/pdf creator: rcasadop date_created: 2025-12-11T09:28:04Z date_updated: 2025-12-11T09:28:04Z embargo: 2026-12-01 embargo_to: open_access file_id: '20794' file_name: 2025_CasadoPolanco_Raquel_Thesis.pdf file_size: 6261874 relation: main_file file_date_updated: 2025-12-11T11:18:37Z has_accepted_license: '1' keyword: - NOTCH - radial glial progenitor - lineage progression - cortical development language: - iso: eng month: '12' oa_version: Published Version page: '133' project: - _id: 059F6AB4-7A3F-11EA-A408-12923DDC885E grant_number: F7805 name: Stem Cell Modulation in Neural Development and Regeneration/ P05-Molecular Mechanisms of Neural Stem Cell Lineage Progression publication_identifier: isbn: - 978-3-99078-072-5 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria status: public supervisor: - first_name: Simon full_name: Hippenmeyer, Simon id: 37B36620-F248-11E8-B48F-1D18A9856A87 last_name: Hippenmeyer orcid: 0000-0003-2279-1061 title: Role of NOTCH signaling in radial glial progenitor lineage progression type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '19557' acknowledged_ssus: - _id: Bio - _id: PreCl - _id: ScienComp acknowledgement: "The work presented in this doctoral thesis was performed at the Institute of Science\r\nand Technology (ISTA) and financially supported by a European Research Council\r\n(ERC) Consolidator Grant (PR1028ERC02), by SFARI (PR1028SIM02) and by the\r\nAustrian Science Fund (FWF) to Gaia Novarino (PE1028W1232). I am very thankful\r\nto the Doctoral Program “Molecular Drug Targets” (MolTag) for offering me financial\r\nsupport to perform essential experiments during my PhD studies and to participate in\r\ninternational conferences and courses." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Lena A full_name: Schwarz, Lena A id: 29A8453C-F248-11E8-B48F-1D18A9856A87 last_name: Schwarz citation: ama: Schwarz LA. Mapping developmental dynamics of autism spectrum disorder mouse models at single-cell resolution. 2025. doi:10.15479/AT-ISTA-19557 apa: Schwarz, L. A. (2025). Mapping developmental dynamics of autism spectrum disorder mouse models at single-cell resolution. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-19557 chicago: Schwarz, Lena A. “Mapping Developmental Dynamics of Autism Spectrum Disorder Mouse Models at Single-Cell Resolution.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-19557. ieee: L. A. Schwarz, “Mapping developmental dynamics of autism spectrum disorder mouse models at single-cell resolution,” Institute of Science and Technology Austria, 2025. ista: Schwarz LA. 2025. Mapping developmental dynamics of autism spectrum disorder mouse models at single-cell resolution. Institute of Science and Technology Austria. mla: Schwarz, Lena A. Mapping Developmental Dynamics of Autism Spectrum Disorder Mouse Models at Single-Cell Resolution. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-19557. short: L.A. Schwarz, Mapping Developmental Dynamics of Autism Spectrum Disorder Mouse Models at Single-Cell Resolution, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-04-14T06:59:06Z date_published: 2025-04-14T00:00:00Z date_updated: 2026-04-14T09:07:14Z day: '14' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: GaNo doi: 10.15479/AT-ISTA-19557 file: - access_level: closed checksum: 50290a8604edb0a720387f01e9d59fe4 content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: lschwarz date_created: 2025-04-15T08:43:36Z date_updated: 2025-04-15T08:43:36Z file_id: '19561' file_name: Schwarz_Thesis_2025_FINAL.docx file_size: 21783427 relation: source_file - access_level: closed checksum: ed028488180ac4901e018ef1c330cf01 content_type: application/pdf creator: lschwarz date_created: 2025-04-15T08:43:42Z date_updated: 2026-03-27T13:15:08Z embargo: 2026-10-15 embargo_to: open_access file_id: '19562' file_name: Schwarz_Thesis_2025_FINALpdfa.pdf file_size: 11432175 relation: main_file file_date_updated: 2026-03-27T13:15:08Z has_accepted_license: '1' language: - iso: eng month: '04' oa_version: Published Version page: '124' project: - _id: 9B91375C-BA93-11EA-9121-9846C619BF3A grant_number: '707964' name: Critical windows and reversibility of ASD associated with mutations in chromatin remodelers - _id: 34ba8964-11ca-11ed-8bc3-e15864e7e9a6 grant_number: '101044865' name: Toward an understanding of the brain interstitial system and the extracellular proteome in health and autism spectrum disorders - _id: 2548AE96-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: W1232 name: Molecular Drug Targets publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '12802' relation: part_of_dissertation status: public - id: '9429' relation: part_of_dissertation status: public status: public supervisor: - first_name: Gaia full_name: Novarino, Gaia id: 3E57A680-F248-11E8-B48F-1D18A9856A87 last_name: Novarino orcid: 0000-0002-7673-7178 title: Mapping developmental dynamics of autism spectrum disorder mouse models at single-cell resolution tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20393' acknowledged_ssus: - _id: Bio - _id: PreCl - _id: LifeSc alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Kasumi full_name: Kishi, Kasumi id: 3065DFC4-F248-11E8-B48F-1D18A9856A87 last_name: Kishi orcid: 0000-0001-6060-4795 citation: ama: Kishi K. Regulation of notochord and floor plate size during mouse development. 2025. doi:10.15479/AT-ISTA-20393 apa: Kishi, K. (2025). Regulation of notochord and floor plate size during mouse development. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20393 chicago: Kishi, Kasumi. “Regulation of Notochord and Floor Plate Size during Mouse Development.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20393. ieee: K. Kishi, “Regulation of notochord and floor plate size during mouse development,” Institute of Science and Technology Austria, 2025. ista: Kishi K. 2025. Regulation of notochord and floor plate size during mouse development. Institute of Science and Technology Austria. mla: Kishi, Kasumi. Regulation of Notochord and Floor Plate Size during Mouse Development. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20393. short: K. Kishi, Regulation of Notochord and Floor Plate Size during Mouse Development, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-09-25T10:08:10Z date_published: 2025-09-24T00:00:00Z date_updated: 2026-04-14T09:50:52Z day: '24' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: AnKi - _id: EdHa doi: 10.15479/AT-ISTA-20393 file: - access_level: closed checksum: 6bb5a7ce318dc3f7bd165f2523e77b89 content_type: application/x-zip-compressed creator: kkishi date_created: 2025-09-30T14:33:17Z date_updated: 2025-10-01T11:54:41Z file_id: '20413' file_name: 2025-Kishi-Kasumi-Thesis.zip file_size: 41847994 relation: source_file - access_level: closed checksum: 88349b9177e1dcbe1242cd3884b36fdb content_type: application/pdf creator: kkishi date_created: 2025-09-30T14:33:22Z date_updated: 2025-10-02T07:51:21Z embargo: 2026-09-30 embargo_to: open_access file_id: '20414' file_name: 2025-Kishi-Kasumi-Thesis.pdf file_size: 55747072 relation: main_file file_date_updated: 2025-10-02T07:51:21Z has_accepted_license: '1' language: - iso: eng month: '09' oa_version: Published Version page: '102' publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '18481' relation: part_of_dissertation status: public status: public supervisor: - first_name: Anna full_name: Kicheva, Anna id: 3959A2A0-F248-11E8-B48F-1D18A9856A87 last_name: Kicheva orcid: 0000-0003-4509-4998 - first_name: Edouard B full_name: Hannezo, Edouard B id: 3A9DB764-F248-11E8-B48F-1D18A9856A87 last_name: Hannezo orcid: 0000-0001-6005-1561 title: Regulation of notochord and floor plate size during mouse development tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '20371' abstract: - lang: eng text: "Quantum mechanics reveals a world that defies classical determinism, where uncertainty, superposition, and fluctuations are fundamental aspects. Engineering devices that harness these quantum features requires not only precision, but also a deep understanding of how they interact with their surrounding environment. Superconducting circuits, which exploit\r\nmacroscopic quantum coherence in low-loss superconducting materials, provide a scalable platform for implementing such systems. Among the critical elements in these circuits, superinductors—high-impedance, dissipation-free inductive components—play a central role by suppressing charge fluctuations. They allow quantum states to be delocalized in phase space, protect qubits from environmental noise, and facilitate access to phenomena such as dual Josephson physics and ultra-strong coupling regimes. \r\nThis thesis explores two complementary implementations of high-impedance circuits: geometric superinductors, demonstrating that high impedance can be achieved beyond kinetic inductance,\r\nand Josephson junction chains, used to investigate both microwave mode properties and DC transport across the superconductor-to-insulator transition. \r\nPart I addresses geometric superinductors. Contrary to the common belief that high-impedance superconducting circuits require kinetic inductance, we demonstrate that purely geometric designs can achieve characteristic impedance exceeding the resistance quantum. By exploiting mutual coupling between adjacent turns, coil-based inductors achieve enhanced self-inductance, creating a reliable platform for qubits and resonators. Modeling, simulation, fabrication, and\r\ncharacterization confirm that these elements behave as superinductor. With low loss, high linearity, and minimal stray capacitance, these elements are reproducible, free of uncontrolled tunneling events, and capable of strong magnetic coupling. This establishes geometric superinductors as robust, single-wave-function superconducting devices suitable for hardware protected qubits and hybrid systems.\r\nPart II presents classical numerical simulations of a Quantum Phase Slip circuit to study dual Shapiro steps. The circuit consists of an ideal Quantum Phase Slip element embedded in a resistive-inductive environment with a parasitic capacitance.\r\nPart III extends the investigation of high characteristic-impedance circuit elements to one-dimensional Josephson junction chains, which act as a quantum simulator for many-body physics and the superconductor–insulator transition. Different devices are realized on both sides of the DC phase transition, showing either a supercurrent branch or Coulomb blockade at zero bias. The effect of the crossover on microwave modes, however, remains insufficiently investigated. Studying these modes provides insight into the interplay between disorder and phase-slip events. Small differences in circuit component sizes determine which side of the transition a device falls on, making these results relevant not only for fundamental understanding but also for the design of quantum devices, emphasizing the crucial role of the\r\nelectromagnetic environment in stabilizing and controlling fragile quantum states. \r\nTogether, these results illustrate how carefully engineered high characteristic-impedance elements provide a link between macroscopic circuits and the inherently uncertain quantum world, enabling experiments that probe, control, and ultimately exploit quantum fluctuations for applications in quantum information, metrology, solid state physics and beyond.\r\n\r\n" acknowledged_ssus: - _id: NanoFab - _id: M-Shop acknowledgement: "I also gratefully acknowledge the generous support of the NOMIS Foundation Project \"Protected\r\nStates of Quantum Matter\" and the grant from the Beyond-C consortium. Their funding\r\nmade this research possible and gave me the freedom to ask ambitious questions, and try to\r\nanswer them.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Andrea full_name: Trioni, Andrea id: 42F71B44-F248-11E8-B48F-1D18A9856A87 last_name: Trioni citation: ama: 'Trioni A. High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains. 2025. doi:10.15479/AT-ISTA-20371' apa: 'Trioni, A. (2025). High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20371' chicago: 'Trioni, Andrea. “High-Impedance Quantum Circuits for Mesoscopic Physics : Geometric Superinductors and Insulating Josephson Chains.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-20371.' ieee: 'A. Trioni, “High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains,” Institute of Science and Technology Austria, 2025.' ista: 'Trioni A. 2025. High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains. Institute of Science and Technology Austria.' mla: 'Trioni, Andrea. High-Impedance Quantum Circuits for Mesoscopic Physics : Geometric Superinductors and Insulating Josephson Chains. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-20371.' short: 'A. Trioni, High-Impedance Quantum Circuits for Mesoscopic Physics : Geometric Superinductors and Insulating Josephson Chains, Institute of Science and Technology Austria, 2025.' corr_author: '1' date_created: 2025-09-23T09:57:57Z date_published: 2025-09-23T00:00:00Z date_updated: 2026-04-15T06:43:02Z day: '23' ddc: - '539' degree_awarded: PhD department: - _id: GradSch - _id: JoFi doi: 10.15479/AT-ISTA-20371 ec_funded: 1 file: - access_level: open_access checksum: 6fb925648dfa5f4384814c552ee2f099 content_type: application/pdf creator: atrioni date_created: 2025-09-25T07:15:05Z date_updated: 2025-09-25T14:25:31Z file_id: '20392' file_name: 2025_Trioni_Andrea_Thesis.pdf file_size: 22351676 relation: main_file - access_level: closed checksum: 619dc614bdfbf3999b76ac8890b2cebd content_type: application/x-zip-compressed creator: atrioni date_created: 2025-09-25T14:45:43Z date_updated: 2025-09-26T07:20:48Z file_id: '20396' file_name: 2025_Trioni_Andrea_Thesis.zip file_size: 60079009 relation: source_file file_date_updated: 2025-09-26T07:20:48Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '202' project: - _id: eb9b30ac-77a9-11ec-83b8-871f581d53d2 name: Protected states of quantum matter - _id: bdb108fd-d553-11ed-ba76-83dc74a9864f grant_number: F07105 name: QUANTUM INFORMATION SYSTEMS BEYOND CLASSICAL CAPABILITIES / P5- Integration of Superconducting Quantum Circuits - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-067-1 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '8755' relation: part_of_dissertation status: public status: public supervisor: - first_name: Johannes M full_name: Fink, Johannes M id: 4B591CBA-F248-11E8-B48F-1D18A9856A87 last_name: Fink orcid: 0000-0001-8112-028X title: 'High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains' type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ... --- OA_place: publisher _id: '19630' abstract: - lang: eng text: "This thesis consists of three chapters, each corresponding to one publication. While each of these projects tackles a topic in a different area of research, they all share a common thread in the type of topological structure they handle - a partition of space into volumes separated by interfaces that meet in non-manifold junctions.\r\n\r\nIn Chapter 2, we study clusters of soap bubbles from a simulation perspective. In particular, we develop a surface-only algorithm that couples large scale motion and shape deformation of soap bubble clusters with the small scale evolution of the thin film's thickness, which is responsible for visual phenomena like surface vortices, Newton's interference patterns, capillary waves, and deformation-dependent rupturing of films in a foam. We model film thickness as a reduced degree of freedom in the Navier-Stokes equations and from them derive three sets of equations governing normal and tangential motion of the soap film surface, as well as the evolution of the thin film thickness. We discretize these equations on a non-manifold triangle mesh, extending and adapting operators to handle complex topology. We also present an incompressible fluid solver for 2.5D films and an advection algorithm for convecting fields across non-manifold surface junctions. Our simulations enhance bubble solvers with additional effects caused by convection, rippling, draining, and evaporation of the thin film.\r\n\r\nIn Chapter 3, we introduce a multi-material non-manifold mesh-based surface tracking algorithm that converts mesh defects, such as overlaps, self-intersections, and inversions into topological changes. Our algorithm generalizes prior work on manifold surface tracking with topological changes: it preserves surface features like mesh-based methods, and it robustly handles topological changes like level set methods. Our method also offers improved efficiency and robustness over the state of the art. We demonstrate the effectiveness of the approach on a range of examples, including complex soap film simulations, such as those presented in Chapter 2, but with an order of magnitude more interacting bubbles than what we could achieve before, and Boolean unions of non-manifold meshes consisting of millions of triangles.\r\n\r\nLastly, in Chapter 4, we utilize developments in the theory of random geometric complexes facilitated by observations from Discrete Morse theory. We survey the methods and results obtained with this new approach, and discuss some of its shortcomings. We use simulations to illustrate the results and to form conjectures, getting numerical estimates for combinatorial, topological, and geometric properties of weighted and unweighted Delaunay mosaics, their dual Voronoi tessellations, and the Alpha and Wrap complexes contained in the mosaics." acknowledged_ssus: - _id: ScienComp acknowledgement: The project in Chapter 2 has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme under grant agreement No. 638176. The project in Chapter 3 was funded in part by the European Union (ERC-2021-COG 101045083 CoDiNA). The project in Chapter 4 has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreements No 78818 Alpha and No 638176). It was also partially supported by the DFG Collaborative Research Center TRR 109, 'Discretization in Geometry and Dynamics', through grant no. I02979-N35 of the Austrian Science Fund (FWF). Thank you for providing funds to support my work. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Peter full_name: Synak, Peter id: 331776E2-F248-11E8-B48F-1D18A9856A87 last_name: Synak citation: ama: Synak P. Methods for fluid simulation, surface tracking, and statistics of non-manifold structures. 2025. doi:10.15479/AT-ISTA-19630 apa: Synak, P. (2025). Methods for fluid simulation, surface tracking, and statistics of non-manifold structures. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-19630 chicago: Synak, Peter. “Methods for Fluid Simulation, Surface Tracking, and Statistics of Non-Manifold Structures.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-19630. ieee: P. Synak, “Methods for fluid simulation, surface tracking, and statistics of non-manifold structures,” Institute of Science and Technology Austria, 2025. ista: Synak P. 2025. Methods for fluid simulation, surface tracking, and statistics of non-manifold structures. Institute of Science and Technology Austria. mla: Synak, Peter. Methods for Fluid Simulation, Surface Tracking, and Statistics of Non-Manifold Structures. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-19630. short: P. Synak, Methods for Fluid Simulation, Surface Tracking, and Statistics of Non-Manifold Structures, Institute of Science and Technology Austria, 2025. corr_author: '1' date_created: 2025-04-29T09:39:34Z date_published: 2025-04-29T00:00:00Z date_updated: 2026-04-16T08:29:34Z day: '29' ddc: - '519' - '006' degree_awarded: PhD department: - _id: ChWo - _id: GradSch doi: 10.15479/AT-ISTA-19630 ec_funded: 1 file: - access_level: closed checksum: f00b519c27529daa0c3b2d4102b4fa7b content_type: application/x-zip-compressed creator: cchlebak date_created: 2025-04-30T14:02:25Z date_updated: 2025-04-30T14:02:25Z file_id: '19633' file_name: Thesis_source_Heiss_Synak.zip file_size: 60670543 relation: source_file - access_level: open_access checksum: 6e40a2fd3b1b881af1385670854a682e content_type: application/pdf creator: cchlebak date_created: 2025-04-30T14:02:42Z date_updated: 2025-04-30T15:49:16Z file_id: '19634' file_name: Thesis_PDFA_Heiss_Synak.pdf file_size: 21319043 relation: main_file file_date_updated: 2025-04-30T15:49:16Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '106' project: - _id: 2533E772-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '638176' name: 'Big Splash: Efficient Simulation of Natural Phenomena at Extremely Large Scales' - _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088 grant_number: '101045083' name: Computational Discovery of Numerical Algorithms for Animation and Simulation of Natural Phenomena - _id: 266A2E9E-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '788183' name: Alpha Shape Theory Extended - _id: 2533E772-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '638176' name: 'Big Splash: Efficient Simulation of Natural Phenomena at Extremely Large Scales' - _id: 2561EBF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: I02979-N35 name: Persistence and stability of geometric complexes publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '8135' relation: part_of_dissertation status: public - id: '17219' relation: part_of_dissertation status: public - id: '8384' relation: part_of_dissertation status: public status: public supervisor: - first_name: Christopher J full_name: Wojtan, Christopher J id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87 last_name: Wojtan orcid: 0000-0001-6646-5546 title: Methods for fluid simulation, surface tracking, and statistics of non-manifold structures type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2025' ...