@phdthesis{20138,
  abstract     = {The evolution shapes the world around us.
Not only in biology, where the fittest individuals spread their genes but also in physics and social dynamics, the evolutionary forces determine the development of a state of matter or public opinions.
Many models describe these dynamics.
This thesis examines the role of the structure in the models of selection.
The population structure is represented as a graph or a network, and each vertex is occupied by one individual.
Every individual has a type and fitness that represents the reproductive potential and depends on the type, occupied vertex, and the arrangement of the neighbors.
The evolution is modeled in discrete steps; in one step, one individual is replaced by a neighbor selected randomly with the influence of fitness.



The role of the networks is widely examined in the literature.
The structures that promote the spread of the desired type compared to the structureless case are called amplifiers.
The existence of amplifiers in various settings is an intensively studied topic, and in some settings, the amplifiers have been identified.
Moreover, there are other important questions about the number of steps until one type spreads over the whole network (fixation time), the computational complexity, and the questions about the robustness of these processes.


This thesis explores the role of structure in evolution from many perspectives.
First, it introduces different models and various choices that can be made in the models of evolution.
It highlights the role of the structure in the real world and how this is reflected in these models.
Then, it describes the previous results and open problems.
Second, the thesis describes an amplifier for two variants of the Moran process: one with a constant birth rate and the other with a constant death rate.
This is an important contribution to the robustness of the amplification.
Third, the thesis determines the complexity of spatial games.
These are processes where the fitness comes from a game, and the strength of selection is high.
It shows that determining the fate of cooperation in these games is a PSPACE-complete problem.
Fourth, the thesis describes the amplifier of cooperation for spatial games.
This is the first amplifier in this setting.
Fifth, the thesis examines the coexistence in the Moran process with environmental heterogeneity.
In this setting, the fitness depends not only on the type of the individual but also on the occupied vertex.
The chapter determines the relationship between the interactions of vertices of different types and the coexistence time.
Sixth, the thesis examines the social balance on networks and proposes a stochastic dynamic partially aware of the state of the graph, which reaches a balanced position quickly.
Finally, the thesis presents conclusions and outlines the directions for future work.


},
  author       = {Svoboda, Jakub},
  issn         = {2663-337X},
  pages        = {167},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Structural properties of games on graphs}},
  doi          = {10.15479/AT-ISTA-20138},
  year         = {2025},
}

@phdthesis{20147,
  abstract     = {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.

In 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.

-------------------------------------------------------------------------------------------------------------------------------------------------------------- In reference to IEEE copyrighted material which is used with permission in this thesis, the IEEE does not
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},
  author       = {Sarac, Naci E},
  issn         = {2663-337X},
  pages        = {149},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{A monitoring-oriented theory and classification of quantitative specifications}},
  doi          = {10.15479/AT-ISTA-20147},
  year         = {2025},
}

@phdthesis{20149,
  abstract     = {Immune responses depend on the coordinated and efficient migration of leukocytes. These
cells, which are embedded and tightly confined within tissues, must navigate and traverse
diverse and complex three-dimensional environments. Leukocytes adapt their locomotory
behavior to the mechanical, geometrical, and biochemical characteristics of their
surroundings. In low-density environments, where the pore size of the interstitial matrix
allows free passage, these cells position the nucleus directly behind the lamellipodium, the
protrusive actin structure that forms the leading front of the cell. In this configuration, they
use the nucleus as a gauge to identify the path of least resistance.
Here, we show that in high-density environments, where the pore size precludes free passage
of the cell body, leukocytes reposition the microtubule-organizing center (MTOC) and
associated organelles in front of the nucleus. In this configuration, they use actin structures
protruding orthogonally to the direction of migration in order to open a path for the cell body.
We identify two distinct actin populations that serve this purpose at different subcellular
localizations. At the leading edge, local indentation of the plasma membrane leads to
recruitment of the Wiskott-Aldrich syndrome protein (WASp), which, via Arp2/3, results in
the formation of individual actin foci. At the cell body, actin polymerization is triggered by
DOCK8, a Cdc42 exchange factor, resulting in the formation of a central actin pool.
We demonstrate that the central and peripheral actin pools are functionally communicating
and that depletion of the central actin pool leads to increased actin accumulation at the cell
front, resulting in excessive extension of the leading edge.},
  author       = {Dos Reis Rodrigues, Patricia},
  issn         = {2663-337X},
  pages        = {114},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Coordination of protrusive forces in immune cell migration }},
  doi          = {10.15479/AT-ISTA-20149},
  year         = {2025},
}

@phdthesis{20167,
  author       = {Schön, Hanna},
  isbn         = {978-3-99078-061-9},
  issn         = {2663-337X},
  pages        = {171},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{The ER complex SUTU-7/MACO-1 regulates the fate of mRNAs encoding GPCRs}},
  doi          = {10.15479/AT-ISTA-20167},
  year         = {2025},
}

@phdthesis{20203,
  abstract     = {Tribocharging, or contact electrification, is the phenomenon in which two initially neutral materials exchange electric charge through contact and subsequent separation. While it is widely observed in everyday life and crucial to numerous natural processes, even the most basic aspects of tribocharging are still a mystery—what are the charge carriers involved and what drives their exchange? This work spans three separate projects that address different aspects of tribocharging. First, we introduce a novel strategy combining Finite Element Method (FEM) simulations with Kelvin Probe Force Microscopy (KPFM) to quantitatively extract surface charge density from surface voltage maps. Second, we present a simple theoretical model that allows for the existence of triboelectric cycles, under the assumption that multiple charge carrying species are involved. Third, we present experimental evidence that identical materials can spontaneously evolve into a triboelectric series, driven by contact history. Modeling this behavior enables the replication of experimental results with simulations, and even experimentally forcing the appearance of a pre-designed series by manipulating contact history. Together, the findings from these projects challenge traditional views on tribocharging, provide new tools for probing it, and open up new avenues of research—all with the hopes of bringing us closer to understanding this puzzling phenomenon.},
  author       = {Sobarzo Ponce, Juan Carlos A},
  isbn         = {978-3-99078-062-6},
  issn         = {2663-337X},
  pages        = {96},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Tribocharging of identical insulators : Triboelectric series, triboelectric cycles and surface charges}},
  doi          = {10.15479/AT-ISTA-20203},
  year         = {2025},
}

@phdthesis{20206,
  abstract     = {The internal structure of biomolecules and their organization in higher-order arrangements are key factors governing the working principles of biological systems. Bioimaging has successfully revealed arrangements across relevant spatial scales. For example, cryo-electron tomography has become widely used for analyzing biomolecular structures in situ due to its comprehensive structural visualization of near-natively preserved samples, and its capability of sub-nm resolution via averaging. However, the identification of molecules within crowded cellular environments is often hindered by low contrast. Fluorescence microscopy, on the other hand, routinely visualizes specifically labeled targets at single-molecule contrast against essentially zero background. Moreover, it provides comparatively high throughput and is amenable to multiplexing. Due to this complementarity, combining datasets from both modalities acquired on the same region via correlative light and electron microscopy can reveal novel types of information. 
The spatial scale at which information can be extracted depends on imaging resolution and correlation accuracy. Since diffraction of light limits the resolution of conventional fluorescence microscopy to few hundreds of nanometers, reaching the full potential of correlative imaging requires super-resolution approaches. Performing imaging at cryogenic temperature preserves structures in a near-native state and minimizes distortions between the fluorescence and the electron microscopy datasets. Implementations of this concept have achieved correlation on the scale of cellular organelles or bacterial domains.
We have worked towards pushing correlative imaging to the single-molecule scale by improving cryo-super-resolution microscopy, and devising a refined image correlation workflow. As part of this project, I constructed a microscopy setup and adopted it for super-resolution fluorescence microscopy at room temperature and cryogenic conditions. I explored different cryo-stages and acquisition strategies. Specifically, I developed a new scheme for correcting sample drift, thus increasing mechanical stability during microscopy acquisitions.
},
  author       = {Vorlaufer, Jakob},
  issn         = {2663-337X},
  pages        = {107},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Construction of a cryo-super-resolution microscope to guide in situ structure analysis}},
  doi          = {10.15479/AT-ISTA-20206},
  year         = {2025},
}

@phdthesis{20212,
  author       = {Miranda, Osvaldo},
  isbn         = {978-3-99078-063-3},
  issn         = {2663-337X},
  keywords     = {Pten, mtor, cortical development, MADM, Mapk},
  pages        = {119},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Unraveling the role of Pten in cortical stem cell lineage progression using MADM}},
  doi          = {10.15479/AT-ISTA-20212},
  year         = {2025},
}

@phdthesis{20234,
  abstract     = {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. 
This 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.
In other words, we consider that the objective of every other player in the game is exactly the opposite to the player.
We 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.	
Formally, this thesis focuses on zero-sum games with the liminf average objective.
Two fundamental questions that Game Theory aims to answer are the following.

1. How much can a player guarantee to obtain after the interaction?

2. How to act in order to obtain the previously mentioned guarantee?

These questions are formalized by the concepts of "value" and "optimal strategies". 	
We study their properties on games that exhibit one or more of the following properties. 

1. Partial Observation: 
the 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.

2. Perturbed Description: 
the formal description of the game is perturbed by a small parameter.
We 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.

3. Stochastic Transitions: 
the actions of the players determine the behavior of the evolution of the system, described as a probability distribution over the next state.
We consider the model of (finite) Perturbed Stochastic Games and provide formulas for the marginal value.

4. Infinite States: 
the system can be in infinitely many states.
We 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.},
  author       = {Saona Urmeneta, Raimundo J},
  issn         = {2663-337X},
  pages        = {125},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games}},
  doi          = {10.15479/AT-ISTA-20234},
  year         = {2025},
}

@phdthesis{20276,
  abstract     = {Complex 3D shapes can be created by morphing flat 2D configurations. Such deformations
either preserve the intrinsic material geometry (e.g., folding paper) or modify it through
localized contraction. Once transformed, the 3D shape can be further controlled to achieve a
target functionality. A key challenge is to take the material specifications and the actuation
process as input to automatically design the target 3D shape and its functionality. This thesis
presents two novel computational pipelines for the design and control of shape-morphing
structures used to create functional prototypes.
The first pipeline borrows from the art of origami to fold paper into intricate shapes and
applies this principle to make 3D lighting displays. We introduce, PCBend a computational
design approach that covers a surface with individually addressable RGB LEDs, effectively
forming a low-resolution surface by folding rigid printed circuit boards (PCBs). We optimize
cut patterns on PCBs to act as hinges and co-design LED placement, circuit routing, and
fabrication constraints to produce PCB blueprints. The PCBs are fabricated using automated
standard manufacturing services with LEDs embedded on them. Finally, the fabricated PCBs
are cut along the contour and folded onto a 3D-printed support. The 3D lighting display is
then controlled to display complex surface light patterns.
Creating 3D shapes through folding is only possible if their planar configuration, called ”unfolding” exists without any distortion or overlap. Existing methods often permit distortion
or require multiple patches, which are unsuitable for fabrication pipelines that rely on folding
non-stretchable materials. We reinforce such fabrication pipelines by providing a geometric
relaxation to the problem, where the input shape is modified to admit overlap-free unfolding.
The second fabrication pipeline extends shape morphing to soft robotics by emulating nature’s
blueprint of distributed actuation. Inspired by vertebrates, we build musculoskeletal robots
using modular active actuators, employing Liquid Crystal Elastomers (LCEs) as shrinkable
artificial muscles integrated with 3D-printed bones. The chemical composition of LCEs is
altered to enable untethered actuation through infrared radiation, allowing active control of
individual muscles and their corresponding bones. The combined motion of individual bones
defines the robot’s overall shape and functionality. Our proposed system significantly expands
both the design and control spaces of soft robots, which we harness using our computational
design tools. We build several physical robots that exhibit complex shape morphing and varied
terrain navigation, showcasing the versatility of our pipeline.
This thesis explores applications ranging from intricate light patterns displayed on 3D shapes
formed by folding rigid PCBs to untethered robots that use contractile muscles to exhibit
shape morphing and locomotion. Through these examples, the thesis highlights how computational design and distributed actuation, integrated with novel materials, can transform
passive structures into functional prototypes.},
  author       = {Bhargava, Manas},
  isbn         = {978-3-99078-065-7},
  issn         = {2663-337X},
  pages        = {96},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Design and control of deformable structures : From PCB lighting displays to elastomer robots}},
  doi          = {10.15479/AT-ISTA-20276},
  year         = {2025},
}

@phdthesis{20339,
  abstract     = {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.

We 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.

In 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.
},
  author       = {Tasinato, Gianluca},
  issn         = {2663-337X},
  pages        = {106},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems}},
  doi          = {10.15479/AT-ISTA-20339},
  year         = {2025},
}

@phdthesis{20357,
  author       = {Ruzickova, Natalia},
  isbn         = {978-3-99078-066-4},
  issn         = {2663-337X},
  keywords     = {gene regulation, networks, omnigenic model, pancreas, collective behaviour},
  pages        = {160},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Effect propagation in biological networks}},
  doi          = {10.15479/AT-ISTA-20357},
  year         = {2025},
}

@phdthesis{20362,
  author       = {Babic, David},
  issn         = {2663-337X},
  pages        = {116},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Mechanisms of auxin-mediated early embryogenesis in Arabidopsis thaliana}},
  doi          = {10.15479/AT-ISTA-20362},
  year         = {2025},
}

@phdthesis{20371,
  abstract     = {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
macroscopic 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. 
This thesis explores two complementary implementations of high-impedance circuits: geometric superinductors, demonstrating that high impedance can be achieved beyond kinetic inductance,
and Josephson junction chains, used to investigate both microwave mode properties and DC transport across the superconductor-to-insulator transition. 
Part 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
characterization 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.
Part 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.
Part 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
electromagnetic environment in stabilizing and controlling fragile quantum states. 
Together, 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.

},
  author       = {Trioni, Andrea},
  isbn         = {978-3-99078-067-1},
  issn         = {2663-337X},
  pages        = {202},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{High-impedance quantum circuits for mesoscopic physics : Geometric superinductors and insulating Josephson Chains}},
  doi          = {10.15479/AT-ISTA-20371},
  year         = {2025},
}

@phdthesis{20393,
  author       = {Kishi, Kasumi},
  issn         = {2663-337X},
  pages        = {102},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Regulation of notochord and floor plate size during mouse development}},
  doi          = {10.15479/AT-ISTA-20393},
  year         = {2025},
}

@phdthesis{20415,
  author       = {Lee, Seungho},
  issn         = {2663-337X},
  pages        = {144},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Nanoparticle-based precursors toward advanced crystalline inorganic solids}},
  doi          = {10.15479/AT-ISTA-20415},
  year         = {2025},
}

@phdthesis{20467,
  author       = {Miteva, Florianne E},
  issn         = {2663-337X},
  pages        = {99},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{The role of cyclooxygenase 1 on microglial response to inflammatory stressors}},
  doi          = {10.15479/AT-ISTA-20467},
  year         = {2025},
}

@phdthesis{20485,
  author       = {Misova, Michaela},
  isbn         = {978-3-99078-068-8},
  issn         = {2663-337X},
  pages        = {155},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Dissecting gap junction biology using the C. elegans nervous system}},
  doi          = {10.15479/AT-ISTA-20485},
  year         = {2025},
}

@phdthesis{20551,
  abstract     = {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.

Our 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.

In 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.

In 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.

In 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.

In 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. },
  author       = {Ishida, Sadashige},
  isbn         = {978-3-99078-070-1},
  issn         = {2663-337X},
  pages        = {141},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Symplectic-prequantum structures and dynamics on the codimension-2 shape space}},
  doi          = {10.15479/AT-ISTA-20551},
  year         = {2025},
}

@phdthesis{20575,
  abstract     = {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).

To 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.

Our 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.

Using 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.

Finally, 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.

The 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.
},
  author       = {Riabov, Volodymyr},
  isbn         = {978-3-99078-064-0},
  issn         = {2663-337X},
  pages        = {436},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Universality in random matrices with spatial structure}},
  doi          = {10.15479/AT-ISTA-20575},
  year         = {2025},
}

@phdthesis{20607,
  author       = {Mondal, Soumyadip},
  isbn         = {978-3-99078-071-8},
  issn         = {2663-337X},
  pages        = {71},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Oxygen and sulfur redox : Conversion kinetics and phase equilibria}},
  doi          = {10.15479/AT-ISTA-20607},
  year         = {2025},
}

