[{"file":[{"checksum":"d073314c4dc95d93feaadbff188ce4a1","date_updated":"2025-05-05T07:14:17Z","relation":"main_file","access_level":"open_access","date_created":"2025-05-05T07:14:17Z","file_name":"Data+Code.zip","file_size":583478621,"creator":"jdesaule","content_type":"application/zip","file_id":"19646","success":1},{"file_name":"readme.txt","date_created":"2025-05-05T07:13:46Z","access_level":"open_access","relation":"main_file","date_updated":"2025-05-05T07:13:46Z","checksum":"d386a2364fb1147ef6dad30ad029c080","success":1,"file_id":"19647","content_type":"text/plain","creator":"jdesaule","file_size":15856}],"author":[{"full_name":"Desaules, Jean-Yves Marc","first_name":"Jean-Yves Marc","id":"6c292945-a610-11ed-9eec-c3be1ad62a80","orcid":"0000-0002-3749-6375","last_name":"Desaules"}],"acknowledged_ssus":[{"_id":"ScienComp"}],"day":"24","ec_funded":1,"contributor":[{"id":"ade85a9c-3200-11ee-973b-91c1eb240410","last_name":"Kerschbaumer","contributor_type":"researcher","first_name":"Aron"},{"contributor_type":"researcher","first_name":"Marko","last_name":"Ljubotina"},{"first_name":"Maksym","contributor_type":"researcher","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827","last_name":"Serbyn"},{"first_name":"Jean-Yves Marc","contributor_type":"researcher","orcid":"0000-0002-3749-6375","last_name":"Desaules","id":"6c292945-a610-11ed-9eec-c3be1ad62a80"}],"license":"https://creativecommons.org/licenses/by-nc/4.0/","date_created":"2025-04-24T19:58:46Z","oa":1,"date_published":"2025-04-24T00:00:00Z","related_material":{"record":[{"id":"19664","relation":"used_in_publication","status":"public"}]},"status":"public","year":"2025","type":"research_data","fulldoi":"https://doi.org/10.15479/AT:ISTA:19623","tmp":{"image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode"},"project":[{"grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"},{"name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020","grant_number":"850899"}],"user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","month":"04","oa_version":"Published Version","title":"Research Data for \"Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators\"","_id":"19623","publisher":"Institute of Science and Technology Austria","ddc":["530"],"date_updated":"2026-06-10T08:40:52Z","acknowledgement":"The authors are grateful to Zlatko Papić, Dolev Bluvstein, Nishad Maskara, Marcello Dalmonte, Thomas Iadecola, and Johannes Feldmeier for insightful discussions. A. K., M. L., and M. S. acknowledge support by the European Research Council under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899). J.-Y. D. acknowledges funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 101034413.","corr_author":"1","keyword":["quantum many-body scars","non-equilibrium physics","Rydberg atoms"],"has_accepted_license":"1","department":[{"_id":"MaSe"}],"article_processing_charge":"No","file_date_updated":"2025-05-05T07:14:17Z","citation":{"ama":"Desaules J-YM. Research Data for “Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.” 2025. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:19623\">10.15479/AT:ISTA:19623</a>","chicago":"Desaules, Jean-Yves Marc. “Research Data for ‘Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.’” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT:ISTA:19623\">https://doi.org/10.15479/AT:ISTA:19623</a>.","short":"J.-Y.M. Desaules, (2025).","ista":"Desaules J-YM. 2025. Research Data for ‘Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators’, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT:ISTA:19623\">10.15479/AT:ISTA:19623</a>.","ieee":"J.-Y. M. Desaules, “Research Data for ‘Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.’” Institute of Science and Technology Austria, 2025.","apa":"Desaules, J.-Y. M. (2025). Research Data for “Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.” Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:19623\">https://doi.org/10.15479/AT:ISTA:19623</a>","mla":"Desaules, Jean-Yves Marc. <i>Research Data for “Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.”</i> Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:19623\">10.15479/AT:ISTA:19623</a>."},"doi":"10.15479/AT:ISTA:19623","abstract":[{"lang":"eng","text":"Persistent revivals recently observed in Rydberg atom simulators have challenged our understanding of thermalization and attracted much interest to the concept of quantum many-body scars (QMBSs). QMBSs are non-thermal highly excited eigenstates that coexist with typical eigenstates in the spectrum of many-body Hamiltonians, and have since been reported in multiple theoretical models, including the so-called PXP model, approximately realized by Rydberg simulators. At the same time, questions of how common QMBSs are and in what models they are physically realized remain open. In this Letter, we demonstrate that QMBSs exist in a broader family of models that includes and generalizes PXP to longer-range constraints and states with different periodicity. We show that in each model, multiple QMBS families can be found. Each of them relies on a different approximate 𝔰𝔲⁡(2) algebra, leading to oscillatory dynamics in all cases. However, in contrast to the PXP model, their observation requires launching dynamics from weakly entangled initial states rather than from a product state. QMBSs reported here may be experimentally probed using Rydberg atom simulator in the regime of longer-range Rydberg blockades."}]},{"das_tickbox":"1","page":"209-268","ec_funded":1,"OA_place":"repository","day":"01","author":[{"orcid":"0000-0001-7252-8072","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","last_name":"Hensel","first_name":"Sebastian","full_name":"Hensel, Sebastian"},{"first_name":"Tim","full_name":"Laux, Tim","last_name":"Laux"}],"quality_controlled":"1","article_type":"original","OA_type":"green","volume":130,"publication":"Journal of Differential Geometry","publication_status":"published","arxiv":1,"fulldoi":"https://doi.org/10.4310/jdg/1747065796","type":"journal_article","intvolume":"       130","status":"public","year":"2025","oa":1,"date_published":"2025-05-01T00:00:00Z","date_created":"2021-09-13T12:17:10Z","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2109.04233"}],"scopus_import":"1","month":"05","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"project":[{"name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","grant_number":"948819"}],"doi":"10.4310/jdg/1747065796","citation":{"apa":"Hensel, S., &#38; Laux, T. (2025). A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>Journal of Differential Geometry</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/jdg/1747065796\">https://doi.org/10.4310/jdg/1747065796</a>","mla":"Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.” <i>Journal of Differential Geometry</i>, vol. 130, International Press of Boston, 2025, pp. 209–68, doi:<a href=\"https://doi.org/10.4310/jdg/1747065796\">10.4310/jdg/1747065796</a>.","ista":"Hensel S, Laux T. 2025. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. Journal of Differential Geometry. 130, 209–268.","ieee":"S. Hensel and T. Laux, “A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness,” <i>Journal of Differential Geometry</i>, vol. 130. International Press of Boston, pp. 209–268, 2025.","ama":"Hensel S, Laux T. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>Journal of Differential Geometry</i>. 2025;130:209-268. doi:<a href=\"https://doi.org/10.4310/jdg/1747065796\">10.4310/jdg/1747065796</a>","short":"S. Hensel, T. Laux, Journal of Differential Geometry 130 (2025) 209–268.","chicago":"Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.” <i>Journal of Differential Geometry</i>. International Press of Boston, 2025. <a href=\"https://doi.org/10.4310/jdg/1747065796\">https://doi.org/10.4310/jdg/1747065796</a>."},"publication_identifier":{"issn":["0022-040X"],"eissn":["1945-743X"]},"abstract":[{"lang":"eng","text":"We propose a new weak solution concept for (two-phase) mean curvature flow which enjoys both (unconditional) existence and (weak-strong) uniqueness properties. These solutions are evolving varifolds, just as in Brakke's formulation, but are coupled to the phase volumes by a simple transport equation. First, we show that, in the exact same setup as in Ilmanen's proof [J. Differential Geom. 38, 417-461, (1993)], any limit point of solutions to the Allen-Cahn equation is a varifold solution in our sense. Second, we prove that any calibrated flow in the sense of Fischer et al. [arXiv:2003.05478] - and hence any classical solution to mean curvature flow-is unique in the class of our new varifold solutions. This is in sharp contrast to the case of Brakke flows, which a priori may disappear at any given time and are therefore fatally non-unique. Finally, we propose an extension of the solution concept to the multi-phase case which is at least guaranteed to satisfy a weak-strong uniqueness principle."}],"article_processing_charge":"No","department":[{"_id":"JuFi"}],"corr_author":"1","keyword":["Mean curvature flow","gradient flows","varifolds","weak solutions","weak-strong uniqueness","calibrated geometry","gradient-flow calibrations"],"acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813. The content of this paper was developed and parts of it were written during a visit of the first author to the Hausdorff Center of Mathematics (HCM), University of Bonn. The hospitality and the support of HCM are gratefully acknowledged.","external_id":{"arxiv":["2109.04233"]},"publisher":"International Press of Boston","_id":"10011","date_updated":"2026-07-06T13:37:21Z","title":"A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness"},{"day":"15","author":[{"last_name":"Chapouto","first_name":"Andreia","full_name":"Chapouto, Andreia"},{"full_name":"Killip, Rowan","first_name":"Rowan","last_name":"Killip"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica"}],"page":"1227-1267","das_tickbox":"1","OA_place":"repository","volume":173,"quality_controlled":"1","OA_type":"green","article_type":"original","publication":"Duke Mathematical Journal","fulldoi":"https://doi.org/10.1215/00127094-2023-0035","arxiv":1,"publication_status":"published","date_published":"2024-05-15T00:00:00Z","oa":1,"date_created":"2026-06-19T07:34:05Z","type":"journal_article","issue":"7","status":"public","extern":"1","year":"2024","intvolume":"       173","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"month":"05","oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2209.07501","open_access":"1"}],"keyword":["Almost-periodic solutions","Korteweg–de Vries","unconditional uniqueness"],"publication_identifier":{"issn":["0012-7094"]},"abstract":[{"lang":"eng","text":"We address two pressing questions in the theory of the Korteweg–de Vries (KdV) equation. First, we show the uniqueness of solutions to KdV that are merely bounded, without any further decay, regularity, periodicity, or almost periodicity assumptions. The second question, emphasized by Deift, regards whether almost periodic initial data leads to almost periodic solutions to KdV. Building on the new observation that this is false for the Airy equation, we construct an example of almost periodic initial data whose KdV evolution remains bounded, but fails to be almost periodic at a later time. Our uniqueness result ensures that the solution constructed is the unique development of this initial data."}],"citation":{"mla":"Chapouto, Andreia, et al. “Bounded Solutions of KdV: Uniqueness and the Loss of Almost Periodicity.” <i>Duke Mathematical Journal</i>, vol. 173, no. 7, Duke University Press, 2024, pp. 1227–67, doi:<a href=\"https://doi.org/10.1215/00127094-2023-0035\">10.1215/00127094-2023-0035</a>.","apa":"Chapouto, A., Killip, R., &#38; Vişan, M. (2024). Bounded solutions of KdV: Uniqueness and the loss of almost periodicity. <i>Duke Mathematical Journal</i>. Duke University Press. <a href=\"https://doi.org/10.1215/00127094-2023-0035\">https://doi.org/10.1215/00127094-2023-0035</a>","short":"A. Chapouto, R. Killip, M. Vişan, Duke Mathematical Journal 173 (2024) 1227–1267.","chicago":"Chapouto, Andreia, Rowan Killip, and Monica Vişan. “Bounded Solutions of KdV: Uniqueness and the Loss of Almost Periodicity.” <i>Duke Mathematical Journal</i>. Duke University Press, 2024. <a href=\"https://doi.org/10.1215/00127094-2023-0035\">https://doi.org/10.1215/00127094-2023-0035</a>.","ama":"Chapouto A, Killip R, Vişan M. Bounded solutions of KdV: Uniqueness and the loss of almost periodicity. <i>Duke Mathematical Journal</i>. 2024;173(7):1227-1267. doi:<a href=\"https://doi.org/10.1215/00127094-2023-0035\">10.1215/00127094-2023-0035</a>","ieee":"A. Chapouto, R. Killip, and M. Vişan, “Bounded solutions of KdV: Uniqueness and the loss of almost periodicity,” <i>Duke Mathematical Journal</i>, vol. 173, no. 7. Duke University Press, pp. 1227–1267, 2024.","ista":"Chapouto A, Killip R, Vişan M. 2024. Bounded solutions of KdV: Uniqueness and the loss of almost periodicity. Duke Mathematical Journal. 173(7), 1227–1267."},"doi":"10.1215/00127094-2023-0035","article_processing_charge":"No","title":"Bounded solutions of KdV: Uniqueness and the loss of almost periodicity","external_id":{"arxiv":["2209.07501"]},"date_updated":"2026-06-22T10:32:25Z","_id":"22026","publisher":"Duke University Press"},{"conference":{"start_date":"2024-07-28","end_date":"2024-08-01","name":"SIGGRAPH: Computer Graphics and Interactive Techniques Conference","location":"Denver, United States"},"fulldoi":"https://doi.org/10.1145/3641519.3657485","publication_status":"published","publication":"Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers '24","date_created":"2024-07-10T11:06:20Z","date_published":"2024-07-01T00:00:00Z","oa":1,"researchdata_availability":"no","status":"public","year":"2024","type":"conference","isi":1,"author":[{"full_name":"Chen, Yi-Lu","first_name":"Yi-Lu","last_name":"Chen","orcid":"0009-0005-0723-0655","id":"0b467602-dbcd-11ea-9d1d-ed480aa46b70"},{"last_name":"Ly","id":"6340d7f0-b48d-11eb-b10d-b7487e71d9f1","full_name":"Ly, Mickaël","first_name":"Mickaël"},{"first_name":"Christopher J","full_name":"Wojtan, Christopher J","orcid":"0000-0001-6646-5546","last_name":"Wojtan","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87"}],"day":"01","das_tickbox":"0","supplementarymaterial":"yes","file":[{"content_type":"application/pdf","file_id":"17215","success":1,"file_size":47309472,"creator":"yichen","date_created":"2024-07-10T11:03:14Z","access_level":"open_access","file_name":"sig24_friction_authors.pdf","relation":"main_file","date_updated":"2024-07-10T11:03:14Z","checksum":"b8b203ed09e3995ba0d7e6a76288663a"},{"file_name":"sig24_friction_supplementary.pdf","access_level":"open_access","date_created":"2024-07-10T11:03:12Z","checksum":"89d81b397b4b6469d828808a68b70820","date_updated":"2024-07-10T11:03:12Z","relation":"main_file","success":1,"file_id":"17216","content_type":"application/pdf","creator":"yichen","file_size":10518286},{"file_name":"friction_paper_extra_video_finished.mp4","date_created":"2024-07-10T11:03:51Z","access_level":"open_access","date_updated":"2024-07-10T11:03:51Z","relation":"main_file","checksum":"7123deed34a5456810e7b5336a31c657","success":1,"content_type":"video/mp4","file_id":"17217","creator":"yichen","file_size":71789192},{"checksum":"e606fc1ae8f2610ce3b4421566800b45","relation":"main_file","date_updated":"2024-07-10T11:03:58Z","file_name":"friction_paper_video_finished.mp4","access_level":"open_access","date_created":"2024-07-10T11:03:58Z","creator":"yichen","file_size":280610763,"success":1,"file_id":"17218","content_type":"video/mp4"}],"quality_controlled":"1","keyword":["physical simulation","frictional contact","rigid body mechanics","non-smooth dynamics"],"corr_author":"1","department":[{"_id":"GradSch"},{"_id":"ChWo"}],"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"isbn":["9798400705250"]},"abstract":[{"lang":"eng","text":"Current numerical algorithms for simulating friction fall in one of two camps: smooth solvers sacrifice the stable treatment of static friction in exchange for fast convergence, and non-smooth solvers accurately compute friction at convergence rates that are often prohibitive for large graphics applications. We introduce a novel bridge between these two ideas that computes static and dynamic friction stably and efficiently. Our key idea is to convert the highly constrained non-smooth problem into an unconstrained smooth problem using logarithmic barriers that converges to the exact solution as accuracy increases. We phrase the problem as an interior point primal-dual problem that can be solved efficiently with Newton iteration. We observe quadratic convergence despite the non-smooth nature of the original problem, and our method is well-suited for large systems of tightly packed objects with many contact points. We demonstrate the efficacy of our method with stable piles of grains and stacks of objects, complex granular flows, and robust interlocking assemblies of rigid bodies."}],"citation":{"ieee":"Y.-L. Chen, M. Ly, and C. Wojtan, “Primal-dual non-smooth friction for rigid body animation,” in <i>Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24</i>, Denver, United States, 2024.","ista":"Chen Y-L, Ly M, Wojtan C. 2024. Primal-dual non-smooth friction for rigid body animation. Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24. SIGGRAPH: Computer Graphics and Interactive Techniques Conference.","chicago":"Chen, Yi-Lu, Mickaël Ly, and Chris Wojtan. “Primal-Dual Non-Smooth Friction for Rigid Body Animation.” In <i>Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24</i>. Association for Computing Machinery, 2024. <a href=\"https://doi.org/10.1145/3641519.3657485\">https://doi.org/10.1145/3641519.3657485</a>.","short":"Y.-L. Chen, M. Ly, C. Wojtan, in:, Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24, Association for Computing Machinery, 2024.","ama":"Chen Y-L, Ly M, Wojtan C. Primal-dual non-smooth friction for rigid body animation. In: <i>Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24</i>. Association for Computing Machinery; 2024. doi:<a href=\"https://doi.org/10.1145/3641519.3657485\">10.1145/3641519.3657485</a>","mla":"Chen, Yi-Lu, et al. “Primal-Dual Non-Smooth Friction for Rigid Body Animation.” <i>Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24</i>, Association for Computing Machinery, 2024, doi:<a href=\"https://doi.org/10.1145/3641519.3657485\">10.1145/3641519.3657485</a>.","apa":"Chen, Y.-L., Ly, M., &#38; Wojtan, C. (2024). Primal-dual non-smooth friction for rigid body animation. In <i>Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers ’24</i>. Denver, United States: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3641519.3657485\">https://doi.org/10.1145/3641519.3657485</a>"},"doi":"10.1145/3641519.3657485","file_date_updated":"2024-07-10T11:03:58Z","title":"Primal-dual non-smooth friction for rigid body animation","ddc":["621","531","006"],"date_updated":"2026-10-02T11:16:26Z","publisher":"Association for Computing Machinery","_id":"17214","external_id":{"isi":["001282218200091"]},"acknowledgement":"We thank Vincent Acary for his help with Siconos, as well as the anonymous reviewers and the members of the Visual Computing Group at ISTA for their helpful comments. This research was funded in part by the European Union (ERC-2021-COG 101045083 CoDiNA).","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"month":"07","scopus_import":"1","oa_version":"Published Version","project":[{"grant_number":"101045083","name":"Computational Discovery of Numerical Algorithms for Animation and Simulation of Natural Phenomena","_id":"34bc2376-11ca-11ed-8bc3-9a3b3961a088"}]},{"scopus_import":"1","month":"07","language":[{"iso":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Published Version","article_number":"54","project":[{"grant_number":"101045083","name":"Computational Discovery of Numerical Algorithms for Animation and Simulation of Natural Phenomena","_id":"34bc2376-11ca-11ed-8bc3-9a3b3961a088"}],"department":[{"_id":"GradSch"},{"_id":"ChWo"}],"has_accepted_license":"1","keyword":["surface tracking","topology change","non- manifold meshes","multi-material flows","solid modeling"],"corr_author":"1","publication_identifier":{"eissn":["1557-7368"],"issn":["0730-0301"]},"abstract":[{"lang":"eng","text":"We introduce a multi-material non-manifold mesh-based surface tracking algorithm that converts self-intersections 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 with thousands of interacting bubbles, and boolean unions of non-manifold meshes consisting of millions of triangles."}],"file_date_updated":"2025-11-11T09:50:52Z","doi":"10.1145/3658223","citation":{"mla":"Synak, Peter, et al. “Multi-Material Mesh-Based Surface Tracking with Implicit Topology Changes.” <i>ACM Transactions on Graphics</i>, vol. 43, no. 4, 54, Association for Computing Machinery, 2024, doi:<a href=\"https://doi.org/10.1145/3658223\">10.1145/3658223</a>.","apa":"Synak, P., Kalinov, A., Strugaru, I.-M., Etemadi, A., Yang, H., &#38; Wojtan, C. (2024). Multi-material mesh-based surface tracking with implicit topology changes. <i>ACM Transactions on Graphics</i>. Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3658223\">https://doi.org/10.1145/3658223</a>","chicago":"Synak, Peter, Aleksei Kalinov, Irina-Malina Strugaru, Arian Etemadi, Huidong Yang, and Chris Wojtan. “Multi-Material Mesh-Based Surface Tracking with Implicit Topology Changes.” <i>ACM Transactions on Graphics</i>. Association for Computing Machinery, 2024. <a href=\"https://doi.org/10.1145/3658223\">https://doi.org/10.1145/3658223</a>.","short":"P. Synak, A. Kalinov, I.-M. Strugaru, A. Etemadi, H. Yang, C. Wojtan, ACM Transactions on Graphics 43 (2024).","ama":"Synak P, Kalinov A, Strugaru I-M, Etemadi A, Yang H, Wojtan C. Multi-material mesh-based surface tracking with implicit topology changes. <i>ACM Transactions on Graphics</i>. 2024;43(4). doi:<a href=\"https://doi.org/10.1145/3658223\">10.1145/3658223</a>","ieee":"P. Synak, A. Kalinov, I.-M. Strugaru, A. Etemadi, H. Yang, and C. Wojtan, “Multi-material mesh-based surface tracking with implicit topology changes,” <i>ACM Transactions on Graphics</i>, vol. 43, no. 4. Association for Computing Machinery, 2024.","ista":"Synak P, Kalinov A, Strugaru I-M, Etemadi A, Yang H, Wojtan C. 2024. Multi-material mesh-based surface tracking with implicit topology changes. ACM Transactions on Graphics. 43(4), 54."},"article_processing_charge":"Yes (via OA deal)","title":"Multi-material mesh-based surface tracking with implicit topology changes","external_id":{"isi":["001289270900021"]},"acknowledgement":"Peter Heiss-Synak helped conceive the project, helped formulate the algorithm structure, contributed ideas and code to Sections 6 & 8, the mesh data structure, algorithm robustness and benchmarks, helped write the paper, and provided supervision and conceptual solutions throughout the project. Aleksei Kalinov contributed ideas and code to Sections 7, 8.5, and 5, the sparse grid data structure, algorithm robustness and benchmarks, optimized the performance, produced all results, most figures, and the supplementary video, helped write the text, and provided conceptual solutions throughout the project. Malina Strugaru helped implement the mesh data structure and designed re-meshing operations for non-manifold triangle meshes. Arian Etemadi developed early prototypes for ideas in Sections 8.1 and 8.3 and helped write the paper. Huidong Yang developed early prototypes for isosurface extraction and visualization. Chris Wojtan helped conceive the project, helped write the paper, and provided supervision, prototype grid data structure code, and conceptual solutions throughout the project. We thank the anonymous reviewers for their helpful comments, the members of the Visual Computing Group at ISTA for their feedback, Christopher Batty for discussions about LosTopos, and SideFX for the Houdini Education software licenses.  This research was funded in part by the European Union (ERC-2021-COG 101045083 CoDiNA).","ddc":["004"],"date_updated":"2026-10-02T11:19:25Z","publisher":"Association for Computing Machinery","_id":"17219","day":"01","isi":1,"author":[{"last_name":"Synak","id":"331776E2-F248-11E8-B48F-1D18A9856A87","first_name":"Peter","full_name":"Synak, Peter"},{"last_name":"Kalinov","id":"44b7120e-eb97-11eb-a6c2-e1557aa81d02","orcid":"0000-0003-2189-3904","first_name":"Aleksei","full_name":"Kalinov, Aleksei"},{"full_name":"Strugaru, Irina-Malina","first_name":"Irina-Malina","id":"2afc607f-f128-11eb-9611-8f2a0dfcf074","last_name":"Strugaru"},{"id":"36cea3aa-f38e-11ec-8ae0-c65ae6f6098f","last_name":"Etemadihaghighi","first_name":"Arian","full_name":"Etemadihaghighi, Arian"},{"full_name":"Yang, Huidong","first_name":"Huidong","last_name":"Yang"},{"first_name":"Christopher J","full_name":"Wojtan, Christopher J","last_name":"Wojtan","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6646-5546"}],"das_tickbox":"0","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","OA_place":"publisher","supplementarymaterial":"no","volume":43,"file":[{"file_name":"2024_ACMToG_HeissSynak.pdf","access_level":"open_access","date_created":"2024-07-23T06:35:15Z","checksum":"1917067d4b52d7729019b03560004e43","date_updated":"2024-07-23T06:35:15Z","relation":"main_file","success":1,"file_id":"17317","content_type":"application/pdf","creator":"dernst","file_size":48763368},{"creator":"akalinov","file_size":48021463,"success":1,"file_id":"17221","content_type":"video/mp4","relation":"main_file","date_updated":"2024-07-10T12:23:44Z","checksum":"a4f0e293184bfa034c0c585848806b17","file_name":"sdtopofixer_final.mp4","date_created":"2024-07-10T12:23:44Z","access_level":"open_access"},{"date_created":"2025-11-11T09:50:52Z","access_level":"open_access","title":"Authors' version of the text","file_name":"SuperDuperTopoFixer.pdf","date_updated":"2025-11-11T09:50:52Z","relation":"preprint","checksum":"18fc310a78ec91651148c45a8b89fa44","content_type":"application/pdf","file_id":"20633","file_size":48639581,"creator":"akalinov"}],"quality_controlled":"1","article_type":"original","OA_type":"hybrid","tmp":{"short":"CC BY-NC-SA (4.0)","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)"},"publication":"ACM Transactions on Graphics","fulldoi":"https://doi.org/10.1145/3658223","publication_status":"published","date_published":"2024-07-01T00:00:00Z","oa":1,"date_created":"2024-07-10T12:24:00Z","type":"journal_article","issue":"4","year":"2024","status":"public","researchdata_availability":"no","intvolume":"        43","related_material":{"record":[{"id":"19630","relation":"dissertation_contains","status":"public"},{"id":"18301","relation":"dissertation_contains","status":"public"}]}},{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"month":"10","oa_version":"Published Version","title":"Filling the holes of non-manifold self-intersecting meshes for implicit topology changes in surface tracking","publisher":"Institute of Science and Technology Austria","_id":"18301","date_updated":"2026-10-02T11:19:26Z","ddc":["000"],"degree_awarded":"MS","alternative_title":["ISTA Master's Thesis"],"corr_author":"1","keyword":["surface tracking","non-manifold","hole-filling","topology change","multi-material","solid-modeling"],"has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"ChWo"}],"article_processing_charge":"No","file_date_updated":"2024-10-24T14:34:54Z","citation":{"apa":"Etemadi, A. (2024). <i>Filling the holes of non-manifold self-intersecting meshes for implicit topology changes in surface tracking</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:18301\">https://doi.org/10.15479/at:ista:18301</a>","mla":"Etemadi, Arian. <i>Filling the Holes of Non-Manifold Self-Intersecting Meshes for Implicit Topology Changes in Surface Tracking</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:18301\">10.15479/at:ista:18301</a>.","ista":"Etemadi A. 2024. Filling the holes of non-manifold self-intersecting meshes for implicit topology changes in surface tracking. Institute of Science and Technology Austria.","ieee":"A. Etemadi, “Filling the holes of non-manifold self-intersecting meshes for implicit topology changes in surface tracking,” Institute of Science and Technology Austria, 2024.","ama":"Etemadi A. Filling the holes of non-manifold self-intersecting meshes for implicit topology changes in surface tracking. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:18301\">10.15479/at:ista:18301</a>","chicago":"Etemadi, Arian. “Filling the Holes of Non-Manifold Self-Intersecting Meshes for Implicit Topology Changes in Surface Tracking.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:18301\">https://doi.org/10.15479/at:ista:18301</a>.","short":"A. Etemadi, Filling the Holes of Non-Manifold Self-Intersecting Meshes for Implicit Topology Changes in Surface Tracking, Institute of Science and Technology Austria, 2024."},"doi":"10.15479/at:ista:18301","abstract":[{"lang":"eng","text":"Physics simulation in computer graphics can bring triangle meshes into topologically invalid states. The method in this thesis contributed to Heiss-Synak* and Kalinov* et al. [2024] who devised a non-manifold hybrid surface tracker—a surface tracker that repairs explicit non-manifold triangle meshes with the help of the implicit domain. Specifically, this thesis provides an algorithm for filling the holes that are left after removing problematic parts of the mesh."}],"publication_identifier":{"issn":["2791-4585"]},"supervisor":[{"orcid":"0000-0001-6646-5546","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87","last_name":"Wojtan","full_name":"Wojtan, Christopher J","first_name":"Christopher J"}],"supplementarymaterial":"no","file":[{"creator":"aetemadi","file_size":8914218,"success":1,"file_id":"18469","content_type":"application/pdf","checksum":"80fb7923e229ad9d39253d7c8a8083d0","date_updated":"2024-10-24T14:34:42Z","relation":"main_file","file_name":"thesis-arian-etemadi.pdf","access_level":"open_access","date_created":"2024-10-24T14:34:42Z"},{"file_id":"18470","content_type":"application/x-zip-compressed","file_size":9802650,"creator":"aetemadi","access_level":"closed","date_created":"2024-10-24T14:34:54Z","file_name":"thesis-arian-etemadi-latex-source.zip","checksum":"1c02586ed7d441d5ec441867650568d1","date_updated":"2024-10-24T14:34:54Z","relation":"source_file"}],"doi_confirm":"1","author":[{"id":"36cea3aa-f38e-11ec-8ae0-c65ae6f6098f","last_name":"Etemadihaghighi","full_name":"Etemadihaghighi, Arian","first_name":"Arian"}],"day":"15","OA_place":"publisher","license":"https://creativecommons.org/licenses/by-sa/4.0/","das_tickbox":"0","page":"39","date_created":"2024-10-11T19:52:20Z","oa":1,"date_published":"2024-10-15T00:00:00Z","related_material":{"record":[{"relation":"part_of_dissertation","id":"17219","status":"public"}]},"researchdata_availability":"no","year":"2024","status":"public","type":"dissertation","publication_status":"published","fulldoi":"https://doi.org/10.15479/at:ista:18301","tmp":{"image":"/images/cc_by_sa.png","short":"CC BY-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)"}},{"project":[{"grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"oa_version":"Published Version","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","month":"08","date_updated":"2026-10-16T12:14:03Z","ddc":["530"],"publisher":"Institute of Science and Technology Austria","_id":"17471","title":"Data for \"Enhanced many-body quantum scars from the non-Hermitian Fock skin effect\"","abstract":[{"text":"Mechanisms for suppressing thermalization in disorder-free many-body systems, such as Hilbert space fragmentation and quantum many-body scars, have recently attracted much interest in foundations of quantum statistical physics and potential quantum information processing applications. However,  their sensitivity to realistic effects such as finite temperature remains largely unexplored. Here, we have utilized IBM's Kolkata quantum processor to demonstrate an unexpected robustness of quantum many-body scars at finite temperatures when the system is prepared in a thermal Gibbs ensemble. We identify such robustness in the PXP model, which describes quantum many-body scars in experimental systems of Rydberg atom arrays and ultracold atoms in tilted Bose--Hubbard optical lattices. By contrast, other theoretical models which host exact quantum many-body scars are found to lack such robustness, and their scarring properties quickly decay with temperature. Our study sheds light on the important differences between scarred models in terms of their algebraic structures, which impacts their resilience to finite temperature.","lang":"eng"}],"doi":"10.15479/AT:ISTA:17471","file_date_updated":"2024-08-30T13:19:57Z","citation":{"ama":"Desaules J-YM. Data for “Enhanced many-body quantum scars from the non-Hermitian Fock skin effect.” 2024. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:17471\">10.15479/AT:ISTA:17471</a>","short":"J.-Y.M. Desaules, (2024).","chicago":"Desaules, Jean-Yves Marc. “Data for ‘Enhanced Many-Body Quantum Scars from the Non-Hermitian Fock Skin Effect.’” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/AT:ISTA:17471\">https://doi.org/10.15479/AT:ISTA:17471</a>.","ista":"Desaules J-YM. 2024. Data for ‘Enhanced many-body quantum scars from the non-Hermitian Fock skin effect’, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT:ISTA:17471\">10.15479/AT:ISTA:17471</a>.","ieee":"J.-Y. M. Desaules, “Data for ‘Enhanced many-body quantum scars from the non-Hermitian Fock skin effect.’” Institute of Science and Technology Austria, 2024.","apa":"Desaules, J.-Y. M. (2024). Data for “Enhanced many-body quantum scars from the non-Hermitian Fock skin effect.” Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:17471\">https://doi.org/10.15479/AT:ISTA:17471</a>","mla":"Desaules, Jean-Yves Marc. <i>Data for “Enhanced Many-Body Quantum Scars from the Non-Hermitian Fock Skin Effect.”</i> Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:17471\">10.15479/AT:ISTA:17471</a>."},"article_processing_charge":"No","department":[{"_id":"MaSe"}],"has_accepted_license":"1","keyword":["quantum many-body scars","non-equilibrium physics","non-Hermitian physics"],"file":[{"file_name":"FiguresData.zip","access_level":"open_access","date_created":"2024-08-30T12:55:37Z","checksum":"2bd49ce5a63f1951c1ed3d89cce4fe27","date_updated":"2024-08-30T12:55:37Z","relation":"main_file","success":1,"file_id":"17472","content_type":"application/zip","creator":"jdesaule","file_size":322400},{"creator":"jdesaule","file_size":1368,"success":1,"content_type":"text/plain","file_id":"17473","checksum":"c2ba113a241e98c394cc3ca21f3fa126","date_updated":"2024-08-30T13:19:57Z","relation":"main_file","file_name":"readme.txt","access_level":"open_access","date_created":"2024-08-30T13:19:57Z"}],"contributor":[{"first_name":"Ruizhe","contributor_type":"researcher","last_name":"Shen"},{"last_name":"Qin","contributor_type":"researcher","first_name":"Fang"},{"contributor_type":"researcher","first_name":"Jean-Yves Marc","last_name":"Desaules","orcid":"0000-0002-3749-6375","id":"6c292945-a610-11ed-9eec-c3be1ad62a80"},{"first_name":"Zlatko","contributor_type":"researcher","last_name":"Papić"},{"last_name":"Lee","first_name":"Ching Hua","contributor_type":"researcher"}],"ec_funded":1,"day":"30","author":[{"first_name":"Jean-Yves Marc","full_name":"Desaules, Jean-Yves Marc","last_name":"Desaules","orcid":"0000-0002-3749-6375","id":"6c292945-a610-11ed-9eec-c3be1ad62a80"}],"type":"research_data","year":"2024","status":"public","related_material":{"record":[{"id":"18627","status":"public","relation":"used_in_publication"}]},"date_published":"2024-08-30T00:00:00Z","oa":1,"date_created":"2024-08-30T12:59:43Z","tmp":{"image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode"},"fulldoi":"https://doi.org/10.15479/AT:ISTA:17471"},{"type":"journal_article","year":"2023","status":"public","intvolume":"       253","date_published":"2023-03-01T00:00:00Z","oa":1,"date_created":"2021-07-14T07:01:28Z","publication":"Israel Journal of Mathematics","fulldoi":"https://doi.org/10.1007/s11856-022-2448-6","arxiv":1,"publication_status":"published","file":[{"file_id":"9653","content_type":"application/pdf","file_size":900422,"creator":"vkaluza","date_created":"2021-07-14T07:41:50Z","access_level":"open_access","file_name":"separated_nets.pdf","date_updated":"2021-07-14T07:41:50Z","relation":"main_file","checksum":"6fa0a3207dd1d6467c309fd1bcc867d1"}],"quality_controlled":"1","article_type":"original","volume":253,"page":"501-554","day":"01","isi":1,"author":[{"first_name":"Michael","full_name":"Dymond, Michael","last_name":"Dymond"},{"orcid":"0000-0002-2512-8698","last_name":"Kaluza","id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E","full_name":"Kaluza, Vojtech","first_name":"Vojtech"}],"external_id":{"isi":["000904950300003"],"arxiv":["1903.05923"]},"acknowledgement":"This work was done while both authors were employed at the University of Innsbruck and enjoyed the full support of Austrian Science Fund (FWF): P 30902-N35.","date_updated":"2023-08-14T11:26:34Z","ddc":["515","516"],"publisher":"Springer Nature","_id":"9652","title":"Highly irregular separated nets","publication_identifier":{"eissn":["1565-8511"]},"abstract":[{"text":"In 1998 Burago and Kleiner and (independently) McMullen gave examples of separated nets in Euclidean space which are non-bilipschitz equivalent to the integer lattice. We study weaker notions of equivalence of separated nets and demonstrate that such notions also give rise to distinct equivalence classes. Put differently, we find occurrences of particularly strong divergence of separated nets from the integer lattice. Our approach generalises that of Burago and Kleiner and McMullen which takes place largely in a continuous setting. Existence of irregular separated nets is verified via the existence of non-realisable density functions ρ:[0,1]d→(0,∞). In the present work we obtain stronger types of non-realisable densities.","lang":"eng"}],"citation":{"mla":"Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.” <i>Israel Journal of Mathematics</i>, vol. 253, Springer Nature, 2023, pp. 501–54, doi:<a href=\"https://doi.org/10.1007/s11856-022-2448-6\">10.1007/s11856-022-2448-6</a>.","apa":"Dymond, M., &#38; Kaluza, V. (2023). Highly irregular separated nets. <i>Israel Journal of Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11856-022-2448-6\">https://doi.org/10.1007/s11856-022-2448-6</a>","ieee":"M. Dymond and V. Kaluza, “Highly irregular separated nets,” <i>Israel Journal of Mathematics</i>, vol. 253. Springer Nature, pp. 501–554, 2023.","ista":"Dymond M, Kaluza V. 2023. Highly irregular separated nets. Israel Journal of Mathematics. 253, 501–554.","chicago":"Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.” <i>Israel Journal of Mathematics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11856-022-2448-6\">https://doi.org/10.1007/s11856-022-2448-6</a>.","short":"M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554.","ama":"Dymond M, Kaluza V. Highly irregular separated nets. <i>Israel Journal of Mathematics</i>. 2023;253:501-554. doi:<a href=\"https://doi.org/10.1007/s11856-022-2448-6\">10.1007/s11856-022-2448-6</a>"},"file_date_updated":"2021-07-14T07:41:50Z","doi":"10.1007/s11856-022-2448-6","article_processing_charge":"No","department":[{"_id":"UlWa"}],"has_accepted_license":"1","keyword":["Lipschitz","bilipschitz","bounded displacement","modulus of continuity","separated net","non-realisable density","Burago--Kleiner construction"],"oa_version":"Submitted Version","scopus_import":"1","language":[{"iso":"eng"}],"month":"03","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"acknowledgement":"M. Bulíček and J. Málek acknowledge the support of the project No. 18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583 by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers of the Nečas Center for Mathematical Modelling.\r\n","external_id":{"isi":["000722222900004"],"arxiv":["2009.06917"]},"_id":"10005","publisher":"World Scientific Publishing","date_updated":"2026-08-18T07:47:39Z","title":"On nonlinear problems of parabolic type with implicit constitutive equations involving flux","citation":{"ista":"Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 31(09).","ieee":"M. Bulíček, E. Maringová, and J. Málek, “On nonlinear problems of parabolic type with implicit constitutive equations involving flux,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 31, no. 09. World Scientific Publishing, 2021.","ama":"Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. <i>Mathematical Models and Methods in Applied Sciences</i>. 2021;31(09). doi:<a href=\"https://doi.org/10.1142/S0218202521500457\">10.1142/S0218202521500457</a>","chicago":"Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.” <i>Mathematical Models and Methods in Applied Sciences</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/S0218202521500457\">https://doi.org/10.1142/S0218202521500457</a>.","short":"M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).","apa":"Bulíček, M., Maringová, E., &#38; Málek, J. (2021). On nonlinear problems of parabolic type with implicit constitutive equations involving flux. <i>Mathematical Models and Methods in Applied Sciences</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0218202521500457\">https://doi.org/10.1142/S0218202521500457</a>","mla":"Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 31, no. 09, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/S0218202521500457\">10.1142/S0218202521500457</a>."},"doi":"10.1142/S0218202521500457","abstract":[{"lang":"eng","text":"We study systems of nonlinear partial differential equations of parabolic type, in which the elliptic operator is replaced by the first-order divergence operator acting on a flux function, which is related to the spatial gradient of the unknown through an additional implicit equation. This setting, broad enough in terms of applications, significantly expands the paradigm of nonlinear parabolic problems. Formulating four conditions concerning the form of the implicit equation, we first show that these conditions describe a maximal monotone p-coercive graph. We then establish the global-in-time and large-data existence of a (weak) solution and its uniqueness. To this end, we adopt and significantly generalize Minty’s method of monotone mappings. A unified theory, containing several novel tools, is developed in a way to be tractable from the point of view of numerical approximations."}],"publication_identifier":{"eissn":["1793-6314"],"issn":["0218-2025"]},"article_processing_charge":"No","department":[{"_id":"JuFi"}],"keyword":["Nonlinear parabolic systems","implicit constitutive theory","weak solutions","existence","uniqueness"],"project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/2009.06917","open_access":"1"}],"scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"08","language":[{"iso":"eng"}],"issue":"09","type":"journal_article","intvolume":"        31","year":"2021","status":"public","oa":1,"date_published":"2021-08-25T00:00:00Z","date_created":"2021-09-12T22:01:25Z","publication":"Mathematical Models and Methods in Applied Sciences","arxiv":1,"publication_status":"published","fulldoi":"https://doi.org/10.1142/S0218202521500457","quality_controlled":"1","article_type":"original","volume":31,"day":"25","author":[{"full_name":"Bulíček, Miroslav","first_name":"Miroslav","last_name":"Bulíček"},{"id":"dbabca31-66eb-11eb-963a-fb9c22c880b4","last_name":"Maringová","full_name":"Maringová, Erika","first_name":"Erika"},{"last_name":"Málek","first_name":"Josef","full_name":"Málek, Josef"}],"isi":1},{"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","language":[{"iso":"eng"}],"month":"09","oa_version":"Published Version","project":[{"_id":"2625A13E-B435-11E9-9278-68D0E5697425","name":"Molecular mechanisms of radial neuronal migration","grant_number":"24812"}],"department":[{"_id":"GradSch"},{"_id":"SiHi"}],"has_accepted_license":"1","keyword":["Neuronal migration","Non-cell-autonomous","Cell-autonomous","Neurodevelopmental disease"],"corr_author":"1","alternative_title":["ISTA Thesis"],"abstract":[{"text":"The brain is one of the largest and most complex organs and it is composed of billions of neurons that communicate together enabling e.g. consciousness. The cerebral cortex is the largest site of neural integration in the central nervous system. Concerted radial migration of newly born cortical projection neurons, from their birthplace to their final position, is a key step in the assembly of the cerebral cortex. The cellular and molecular mechanisms regulating radial neuronal migration in vivo are however still unclear. Recent evidence suggests that distinct signaling cues act cell-autonomously but differentially at certain steps during the overall migration process. Moreover, functional analysis of genetic mosaics (mutant neurons present in wild-type/heterozygote environment) using the MADM (Mosaic Analysis with Double Markers) analyses in comparison to global knockout also indicate a significant degree of non-cell-autonomous and/or community effects in the control of cortical neuron migration. The interactions of cell-intrinsic (cell-autonomous) and cell-extrinsic (non-cell-autonomous) components are largely unknown. In part of this thesis work we established a MADM-based experimental strategy for the quantitative analysis of cell-autonomous gene function versus non-cell-autonomous and/or community effects. The direct comparison of mutant neurons from the genetic mosaic (cell-autonomous) to mutant neurons in the conditional and/or global knockout (cell-autonomous + non-cell-autonomous) allows to quantitatively analyze non-cell-autonomous effects. Such analysis enable the high-resolution analysis of projection neuron migration dynamics in distinct environments with concomitant isolation of genomic and proteomic profiles. Using these experimental paradigms and in combination with computational modeling we show and characterize the nature of non-cell-autonomous effects to coordinate radial neuron migration. Furthermore, this thesis discusses recent developments in neurodevelopment with focus on neuronal polarization and non-cell-autonomous mechanisms in neuronal migration.","lang":"eng"}],"publication_identifier":{"issn":["2663-337X"]},"file_date_updated":"2022-09-03T22:30:04Z","citation":{"ieee":"A. H. Hansen, “Cell-autonomous gene function and non-cell-autonomous effects in radial projection neuron migration,” Institute of Science and Technology Austria, 2021.","ista":"Hansen AH. 2021. Cell-autonomous gene function and non-cell-autonomous effects in radial projection neuron migration. Institute of Science and Technology Austria.","short":"A.H. Hansen, Cell-Autonomous Gene Function and Non-Cell-Autonomous Effects in Radial Projection Neuron Migration, Institute of Science and Technology Austria, 2021.","chicago":"Hansen, Andi H. “Cell-Autonomous Gene Function and Non-Cell-Autonomous Effects in Radial Projection Neuron Migration.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/at:ista:9962\">https://doi.org/10.15479/at:ista:9962</a>.","ama":"Hansen AH. Cell-autonomous gene function and non-cell-autonomous effects in radial projection neuron migration. 2021. doi:<a href=\"https://doi.org/10.15479/at:ista:9962\">10.15479/at:ista:9962</a>","mla":"Hansen, Andi H. <i>Cell-Autonomous Gene Function and Non-Cell-Autonomous Effects in Radial Projection Neuron Migration</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/at:ista:9962\">10.15479/at:ista:9962</a>.","apa":"Hansen, A. H. (2021). <i>Cell-autonomous gene function and non-cell-autonomous effects in radial projection neuron migration</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:9962\">https://doi.org/10.15479/at:ista:9962</a>"},"doi":"10.15479/at:ista:9962","article_processing_charge":"No","title":"Cell-autonomous gene function and non-cell-autonomous effects in radial projection neuron migration","degree_awarded":"PhD","ddc":["570"],"date_updated":"2026-04-08T07:19:09Z","publisher":"Institute of Science and Technology Austria","_id":"9962","day":"02","author":[{"last_name":"Hansen","id":"38853E16-F248-11E8-B48F-1D18A9856A87","full_name":"Hansen, Andi H","first_name":"Andi H"}],"page":"182","OA_place":"publisher","supervisor":[{"full_name":"Hippenmeyer, Simon","first_name":"Simon","id":"37B36620-F248-11E8-B48F-1D18A9856A87","last_name":"Hippenmeyer","orcid":"0000-0003-2279-1061"}],"file":[{"file_size":10629190,"creator":"ahansen","file_id":"9971","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","checksum":"66b56f5b988b233dc66a4f4b4fb2cdfe","date_updated":"2022-09-03T22:30:04Z","relation":"source_file","access_level":"closed","date_created":"2021-08-30T09:17:39Z","file_name":"Thesis_Hansen.docx","embargo_to":"open_access"},{"content_type":"application/pdf","file_id":"9972","file_size":13457469,"creator":"ahansen","date_created":"2021-08-30T09:29:44Z","access_level":"open_access","file_name":"Thesis_Hansen_PDFA-1a.pdf","date_updated":"2022-09-03T22:30:04Z","relation":"main_file","checksum":"204fa40321a1c6289b68c473634c4bf3","embargo":"2022-09-02"}],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.15479/at:ista:9962","publication_status":"published","date_published":"2021-09-02T00:00:00Z","oa":1,"date_created":"2021-08-29T12:36:50Z","type":"dissertation","year":"2021","status":"public","related_material":{"record":[{"id":"8569","status":"public","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"960"}]}},{"volume":92,"article_type":"original","OA_type":"closed access","quality_controlled":"1","author":[{"first_name":"Jongho","full_name":"Kim, Jongho","last_name":"Kim"},{"first_name":"M. Chase","full_name":"Dwelle, M. Chase","last_name":"Dwelle"},{"first_name":"Stephanie K.","full_name":"Kampf, Stephanie K.","last_name":"Kampf"},{"full_name":"Fatichi, Simone","first_name":"Simone","last_name":"Fatichi","id":"cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6"},{"first_name":"Valeriy Y.","full_name":"Ivanov, Valeriy Y.","last_name":"Ivanov"}],"day":"01","page":"73-89","das_tickbox":"1","date_created":"2026-07-27T12:30:24Z","date_published":"2016-07-01T00:00:00Z","year":"2016","status":"public","extern":"1","intvolume":"        92","type":"journal_article","fulldoi":"https://doi.org/10.1016/j.advwatres.2016.03.019","publication_status":"published","publication":"Advances in Water Resources","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"month":"07","scopus_import":"1","oa_version":"None","title":"On the non-uniqueness of the hydro-geomorphic responses in a zero-order catchment with respect to soil moisture","date_updated":"2026-08-06T07:50:36Z","_id":"22510","publisher":"Elsevier","keyword":["Soil moisture","Spatial heterogeneity","Hydrological response","Geomorphic response","Non-uniqueness","Hydraulic connectivity"],"article_processing_charge":"No","abstract":[{"lang":"eng","text":"This study advances mechanistic interpretation of predictability challenges in hydro-geomorphology related to the role of soil moisture spatial variability. Using model formulations describing the physics of overland flow, variably saturated subsurface flow, and erosion and sediment transport, this study explores (1) why a basin with the same mean soil moisture can exhibit distinctly different spatial moisture distributions, (2) whether these varying distributions lead to non-unique hydro-geomorphic responses, and (3) what controls non-uniqueness in relation to the response type. Two sets of numerical experiments are carried out with two physically-based models, HYDRUS and tRIBS+VEGGIE+FEaST, and their outputs are analyzed with respect to pre-storm moisture state. The results demonstrate that distinct spatial moisture distributions for the same mean wetness arise because near-surface soil moisture dynamics exhibit different degrees of coupling with deeper-soil moisture and the process of subsurface drainage. The consequences of such variations are different depending on the type of hydrological response. Specifically, if the predominant runoff response is of infiltration excess type, the degree of non-uniqueness is related to the spatial distribution of near-surface moisture. If runoff is governed by subsurface stormflow, the extent of deep moisture contributing area and its “readiness to drain” determine the response characteristics. Because the processes of erosion and sediment transport superimpose additional controls over factors governing runoff generation and overland flow, non-uniqueness of the geomorphic response can be highly dampened or enhanced. The explanation is sediment composed by multi-size particles can alternate states of mobilization or surface shielding and the transient behavior is inherently intertwined with the availability of mobile particles. We conclude that complex nonlinear dynamics of hydro-geomorphic processes are inherent expressions of physical interactions. As complete knowledge of watershed properties, states, or forcings will always present the ultimate, if ever resolvable, challenge, deterministic predictability will remain handicapped. Coupling of uncertainty quantification methods and space-time physics-based approaches will need to evolve to facilitate mechanistic interpretations and informed practical applications."}],"publication_identifier":{"issn":["0309-1708"]},"citation":{"apa":"Kim, J., Dwelle, M. C., Kampf, S. K., Fatichi, S., &#38; Ivanov, V. Y. (2016). On the non-uniqueness of the hydro-geomorphic responses in a zero-order catchment with respect to soil moisture. <i>Advances in Water Resources</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.advwatres.2016.03.019\">https://doi.org/10.1016/j.advwatres.2016.03.019</a>","mla":"Kim, Jongho, et al. “On the Non-Uniqueness of the Hydro-Geomorphic Responses in a Zero-Order Catchment with Respect to Soil Moisture.” <i>Advances in Water Resources</i>, vol. 92, Elsevier, 2016, pp. 73–89, doi:<a href=\"https://doi.org/10.1016/j.advwatres.2016.03.019\">10.1016/j.advwatres.2016.03.019</a>.","ista":"Kim J, Dwelle MC, Kampf SK, Fatichi S, Ivanov VY. 2016. On the non-uniqueness of the hydro-geomorphic responses in a zero-order catchment with respect to soil moisture. Advances in Water Resources. 92, 73–89.","ieee":"J. Kim, M. C. Dwelle, S. K. Kampf, S. Fatichi, and V. Y. Ivanov, “On the non-uniqueness of the hydro-geomorphic responses in a zero-order catchment with respect to soil moisture,” <i>Advances in Water Resources</i>, vol. 92. Elsevier, pp. 73–89, 2016.","ama":"Kim J, Dwelle MC, Kampf SK, Fatichi S, Ivanov VY. On the non-uniqueness of the hydro-geomorphic responses in a zero-order catchment with respect to soil moisture. <i>Advances in Water Resources</i>. 2016;92:73-89. doi:<a href=\"https://doi.org/10.1016/j.advwatres.2016.03.019\">10.1016/j.advwatres.2016.03.019</a>","short":"J. Kim, M.C. Dwelle, S.K. Kampf, S. Fatichi, V.Y. Ivanov, Advances in Water Resources 92 (2016) 73–89.","chicago":"Kim, Jongho, M. Chase Dwelle, Stephanie K. Kampf, Simone Fatichi, and Valeriy Y. Ivanov. “On the Non-Uniqueness of the Hydro-Geomorphic Responses in a Zero-Order Catchment with Respect to Soil Moisture.” <i>Advances in Water Resources</i>. Elsevier, 2016. <a href=\"https://doi.org/10.1016/j.advwatres.2016.03.019\">https://doi.org/10.1016/j.advwatres.2016.03.019</a>."},"doi":"10.1016/j.advwatres.2016.03.019"},{"language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"03","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1112.1354"}],"oa_version":"Preprint","title":"Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions","date_updated":"2026-06-25T08:33:18Z","publisher":"International Press of Boston","_id":"22053","external_id":{"arxiv":["1112.1354"]},"keyword":["NLS","Gross–Pitaevskii equation","non-vanishing boundary condition"],"article_processing_charge":"No","publication_identifier":{"issn":["1073-2780"],"eissn":["1945-001X"]},"abstract":[{"lang":"eng","text":"We consider the Gross–Pitaevskii equation on R^4 and the cubic-quintic nonlinear Schrödinger equation (NLS) on R^3 with non-vanishing boundary conditions at spatial infinity. By viewing these equations as perturbations to the energy-critical NLS, we prove that they are globally well-posed in their energy spaces. In particular, we prove unconditional uniqueness in the energy spaces for these equations."}],"doi":"10.4310/mrl.2012.v19.n5.a1","citation":{"ista":"Killip R, Oh T, Pocovnicu O, Vişan M. 2013. Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Mathematical Research Letters. 19(5), 969–986.","ieee":"R. Killip, T. Oh, O. Pocovnicu, and M. Vişan, “Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions,” <i>Mathematical Research Letters</i>, vol. 19, no. 5. International Press of Boston, pp. 969–986, 2013.","ama":"Killip R, Oh T, Pocovnicu O, Vişan M. Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. <i>Mathematical Research Letters</i>. 2013;19(5):969-986. doi:<a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">10.4310/mrl.2012.v19.n5.a1</a>","short":"R. Killip, T. Oh, O. Pocovnicu, M. Vişan, Mathematical Research Letters 19 (2013) 969–986.","chicago":"Killip, Rowan, Tadahiro Oh, Oana Pocovnicu, and Monica Vişan. “Global Well-Posedness of the Gross–Pitaevskii and Cubic-Quintic Nonlinear Schrödinger Equations with Non-Vanishing Boundary Conditions.” <i>Mathematical Research Letters</i>. International Press of Boston, 2013. <a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">https://doi.org/10.4310/mrl.2012.v19.n5.a1</a>.","apa":"Killip, R., Oh, T., Pocovnicu, O., &#38; Vişan, M. (2013). Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. <i>Mathematical Research Letters</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">https://doi.org/10.4310/mrl.2012.v19.n5.a1</a>","mla":"Killip, Rowan, et al. “Global Well-Posedness of the Gross–Pitaevskii and Cubic-Quintic Nonlinear Schrödinger Equations with Non-Vanishing Boundary Conditions.” <i>Mathematical Research Letters</i>, vol. 19, no. 5, International Press of Boston, 2013, pp. 969–86, doi:<a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">10.4310/mrl.2012.v19.n5.a1</a>."},"volume":19,"OA_type":"green","article_type":"original","quality_controlled":"1","author":[{"last_name":"Killip","first_name":"Rowan","full_name":"Killip, Rowan"},{"last_name":"Oh","first_name":"Tadahiro","full_name":"Oh, Tadahiro"},{"first_name":"Oana","full_name":"Pocovnicu, Oana","last_name":"Pocovnicu"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica"}],"day":"15","OA_place":"repository","page":"969-986","das_tickbox":"1","date_created":"2026-06-19T07:54:49Z","date_published":"2013-03-15T00:00:00Z","oa":1,"status":"public","year":"2013","extern":"1","mathsc":["35Q55"],"intvolume":"        19","type":"journal_article","issue":"5","fulldoi":"https://doi.org/10.4310/mrl.2012.v19.n5.a1","arxiv":1,"publication_status":"published","publication":"Mathematical Research Letters"}]