Chapter 1: Ergodicity and Markov Selections (abstract)

Chapter 2: Transport Equation and Kolmogorov equations (abstract)

Chapter 3: Scaling limits and delayed blow-up by transport noise (abstract)

Chapter 4: The nonsmooth Kraichnan model (abstract)

Collective Arbitrage and Superreplication (abstract)

Collective completeness and pricing hedging duality (abstract)

Does cooperation improve individual performance? (abstract)

Relative Performance Concerns in Financial Markets under Recursive Intertemporal Preferences (abstract)

The bead model and the macroscopic behaviour of Gelfand-Tsetlin patterns (abstract)

Can one hear the shape of a random matrix? (abstract)

Extreme value statistics for partial orders (abstract)

Stationary half-space random growth, via combinatorics (abstract)

Existence, uniqueness and asymptotic stability of invariant measures for the stochastic Allen–Cahn–Navier–Stokes system with singular potential (abstract)

The nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity (abstract)

On the uniqueness of reversible invariant measures for SPDEs on the full space (abstract)

Exponential integrability of the solution and the invariant measure to the stochastic Burgers equation (abstract)

de Finetti Theorems for Constrained Exchangeable Graphs (abstract)

Simultaneous global and local clustering in multiplex networks with covariate information (abstract)

Nested stochastic block model for simultaneously clustering networks and nodes (abstract)

Dynamic network clustering via connectivity pattern persistence and node-level dependence (abstract)

Limit theorems for space-time Gaussian fields on $\mathbb R^d$ (abstract)

New Chaos Decomposition of Gaussian Nodal Volumes (abstract)

A Risk Minimization Approach to PCA with Irregular Data (abstract)

Score-based fields on manifolds for denoising (abstract)

Strong disorder for Stochastic Heat Flow and 2D Directed Polymers (abstract)

Moment structure of the critical stochastic heat flow and independence of collision times of random walks (abstract)

Noise sensitivity and directed polymers (abstract)

Directed polymer in spatially correlated environment (abstract)

First-passage times through closed curves for bivariate diffusion processes, simulations and comparisons based on stochastic orderings (abstract)

Approximation of Diffusion Exit Times from Bounded Domains via a Rejection-Based Random Walk (abstract)

Singular SDEs through interfaces: the threshold Cox-Ingersoll-Ross model (abstract)

Approximation of first passage times and hitting times for stochastic differential equations (abstract)

Pathwise uniqueness by noise for stochastic PDEs with singular drift (abstract)

Transport noise in natural convection (abstract)

Anomalous phenomena in the Kraichnan model of turbulence (abstract)

Refined uniqueness results for 2D Euler and gSQG with rough Kraichnan noise (abstract)

Separate Exchangeability as Modeling Principle in Bayesian Nonparametrics (abstract)

A partial likelihood approach to tree-based density modeling and its application in Bayesian inference (abstract)

Posterior behaviour of the stick-breaking weights for Bayesian infinte mixture models (abstract)

Cognitive data analysis with Bayesian Drift Diffusion Model (abstract)

Stochastic Differential Equations and the Martin-Siggia-Rose Formalism: An Algebraic-Analytic Correspondence (abstract)

On the Stochastic Sine-Gordon Model from the Viewpoint of Quantum Field Theory (abstract)

Boltzmann processes (abstract)

A stochastic approach to time-dependent BEC (abstract)

Efficient Simulation of Affine Volterra Processes (abstract)

Rough differential equations for volatility (abstract)

Efficient simulation of a new class of Volterra-type SDEs (abstract)

Lévy processes as weak limits of rough Heston models (abstract)

Multivariate tempered stable additive subordination for financial models (abstract)

Thorin processes: subordination and applications (abstract)

Additive subordination of multiparameter Markov processes (abstract)

Two-factor models via subordination of multiparameter Markov processes (abstract)

Some structural results for Gaussian Quantum Markov Semigroups (abstract)

On the Ryll-Nardzewski Theorem for Quantum Stochastic Processes (abstract)

de Finetti theorem for quantum stochastic processes based on twisted products: conditional independence (abstract)

Mean-field limit in quantum neural networks (abstract)

Invariant measures for one-dimensional stochastic compressible fluid equations (abstract)

Non-selection of Lagrangian trajectories in the zero-noise limit (abstract)

Background {Vlasov} equations and {Young} measures for passive scalar and vector advection equations under special stochastic scaling limits (abstract)

Intrinsic stochasticity in the Landau–Lifshitz–Navier–Stokes equations on logarithmic lattices (abstract)

Interacting vertex reinforced random walks on complete subgraphs with simultaneous and independent transitions (abstract)

A multi-factorial innovation model with feature-interaction (abstract)

Large deviations for stochastic approximation: A weak convergence approach (abstract)

Urn models: interaction, synchronization and generalized reinforcement (abstract)

Learning from Surrogate Data: Weak-to-Strong Generalization through the Lens of High-Dimensional Regression (abstract)

Deep Transformers as Mean-field Interacting Particle Systems (abstract)

Learning with Neural Networks on Structured Inputs (abstract)

Beyond NNGP: Large Deviations and Feature Learning in Bayesian Neural Networks (abstract)

Strong Feller property and irreducibility for stochastic PDEs with degenerate multiplicative noise (abstract)

Anomalous Regularization and Dissipation for 2D Euler Equations with Rough Kraichnan Noise (abstract)

Stochastic diffuse interface models driven by conservative noise (abstract)

Ergodicity of a Stochastic Energy Balance Model for Global Temperature (abstract)

Fractional Cointegration of Geometric Functionals (abstract)

Limit theorems for functionals of stationary Gaussian fields (abstract)

Statistics on Yau's conjecture (abstract)

Berry-Heisenberg random waves (abstract)

Mean-field control of heterogeneous systems (abstract)

PDEs driven by Dirichlet-Ferguson laplacian in Wasserstein-Sobolev spaces (abstract)

Mean-Field Games in Hilbert Spaces: A Viscosity Approach (abstract)

Environmental asset, Optimal control, N-players game, Social Planner, Pigouvian tax, Mean field game (abstract)

Mixing trichotomy for random walks on directed stochastic block models (abstract)

Homophily within and across groups: a maximum-entropy framework for analyzing different social scales (abstract)

Localized geometry detection in scale-free random graphs (abstract)

node2vec random walks: Regular graphs and recurrence (abstract)

A Novel Approach to Peng's Maximum Principle for McKean-Vlasov Stochastic Differential Equations (abstract)

Optimal Control of Infinite-Dimensional Differential Systems with Randomness and Path-Dependence and Stochastic Path-Dependent Hamilton–Jacobi Equations (abstract)

Deep Hilbert Galerkin methods for PDEs on Hilbert spaces via derivative-informed operator learning with applications to stochastic optimal control of infinite-dimensional systems (abstract)

Derivative-informed Hilbert neural operators solve PDEs on Hilbert spaces and infinite-dimensional optimal control problems (abstract)

Optimal Annuitization under Partially Observable Mortality (abstract)

An optimal transport foundation for a class of dynamically consistent risk measures (abstract)

Play longer when It matters: optimal match length in knock-out tournaments (abstract)

The grass-bushes-trees process on a scale-free network (abstract)

The spectrum of dense kernel-based random graphs (abstract)

Finite vs Infinite-Mean Heavy-Tailed Fitness: Geometry and Connectivity in Inhomogeneous Random Graphs (abstract)

Metastability of Glauber dynamics with inhomogeneous coupling disorder (abstract)

LEARNING THEORY OF SHALLOW NEURAL NETWORKS THROUGH THE LENS OF RKBS (abstract)

Parameter estimation in a fractional neuronal model (abstract)

The Reverse Hypergeometric distribution for attribute concentration in small groups (abstract)

Inference for a concave distribution function under measurement error (abstract)

Hypercontractivity type property for generalized Mehler semigroups (abstract)

Bismut-Elworthy type formulae for BSDEs with degenerate noise (abstract)

Second Quantization and Evolution Operators in infinite dimension (abstract)

Malliavin Calculus for rough stochastic differential equations (abstract)

Averaging Dynamics and Wong-Zakai approximations for a Fast-Slow Navier-Stokes System Driven by fractional Brownian Motion (abstract)

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions (abstract)

Hookean dumbbell model for polymers, stretching noise and turbulence (abstract)

Distribution-Free Outlier Detection and Enumeration (abstract)

A Conformal Prediction Approach to Predict Populations of Graphs (abstract)

Conformal classification with tight marginal coverage in noisy settings (abstract)

Conditional Coverage in Conformal Prediction: Tradeoffs and Insights (abstract)

Theoretical guarantees for diffusion models — beyond log-concavity (abstract)

Adaptive denoising diffusion modelling via random time reversal (abstract)

Sampling error bounds for the denoising diffusion probabilistic model via the Föllmer process (abstract)

Dimension-free statistical guarantees for fine-tuning of conditional diffusion models via PAC-Bayes bounds (abstract)

Large-Scale Analysis of Multi-Scale Queuing Networks: Applications to Car-Sharing Systems (abstract)

Association in Spatial Queueing-Filtering Networks (abstract)

The geometry of the stability region of randomly modulated queuing systems (abstract)

Poisson Hail on a Wireless Ground (abstract)

Approximate Bayesian computation with kernel Wasserstein distance (abstract)

Adaptive variational Gaussian processes (abstract)

Computationally efficient hierarchical additive interaction models through hierarchical ANOVA kernels and Gaussian processes (abstract)

Kernel Quantile Embeddings and Associated Probability Metrics (abstract)

Robust Ergodic Singular Control of Compound–Poisson Jump Diffusions under Drift and Intensity Ambiguity (abstract)

Strategic Focus or Technological Neutrality? On the Optimal Mix of Green Investment and Carbon Capture and Storage Research in a Budget-Constraint World (abstract)

Optimal resource extraction with a random threshold (abstract)

When investors force the green transition: a two-dimensional singular stochastic control problem (abstract)

The critical percolation window in growing random graphs (abstract)

Infection models on dense dynamic random graphs (abstract)

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading (abstract)

Contact process on interchange process (abstract)

A mild rough Gronwall lemma with applications to non-autonomous evolution equations (abstract)

Reduced stochastic PDE models for collective behaviour (abstract)

(Moment) Lyapunov stability of parabolic SPDEs (abstract)

Invariant measures for the open KPZ equation (abstract)

Linearization of McKean SDEs with application to parameter estimation (abstract)

Nonparametric Estimation of the Diffusive Interaction Function in Particle Systems (abstract)

Statistical inference for interacting particle systems driven by the fractional Brownian motion (abstract)

Learning Interaction Networks for High-Dimensional Diffusion Processes (abstract)

The Wiener Disorder Problem with Random Post-Disorder Drift (abstract)

The Dubins Constants for Walsh's Spider Process (abstract)

Continuous-Time Dynamic Contracting With Limited Commitment (abstract)

Optimal autonomous trading strategies in models based on Ornstein-Uhlenbeck processes with mean-reverting levels (abstract)

Self-normalization of sums of dependent random variables (abstract)

Accurate Bayesian inference for tail risk extrapolation in time series (abstract)

Asymptotic theory for the likelihood-based block maxima method in time series (abstract)

Testing for Multivariate Regular Variation (abstract)

Non-local dynamic boundary conditions for sticky Brownian motions on smooth domains (abstract)

On some stochastic models of Anomalous Diffusion (abstract)

Random Flights and Anomalous Diffusion: A non-Markovian Take on Lorentz Processes (abstract)

Nonlocal α-size biasing: Stein characterization and one-sided concentration bound (abstract)

Competing growth on the configuration model via first-passage percolation and long-range jumps (abstract)

Critical density of the Stochastic Sandpile Model (abstract)

Node immunization via random forests (abstract)

Estimate of the exit time for the Long Range Ising model on random regular graphs (abstract)

Scaling limits of the one-dimensional facilitated exclusion process (abstract)

Non-chaotic interacting particle systems (abstract)

Hydrodynamic limits of exploration processes on large random graphs (abstract)

Stability and renormalization of Jackson networks with non-idling mobile servers (abstract)

Diameters in preferential attachment model with random initial degrees (abstract)

Sharp thresholds for higher powers of Hamilton cycles in random graphs (abstract)

Do random initial degrees suppress concentration in preferential attachment graphs? (abstract)

Exploring the space of graphs with fixed discrete curvatures (abstract)

Efficient computation and estimation of generalized cumulants via complementary set partitions (abstract)

Correlation Structure for Random Waves (abstract)

An Analogue Fr\'echet-Shohat Moments Convergence Theorem for Indeterminate Moment Problems (abstract)

The moment problem beyond finite dimensions (abstract)

Hierarchical Random Measures without Tables (abstract)

Bayesian calculus and predictive characterizations of extended feature allocation models (abstract)

Bayesian Nonparametric Community Detection in Stochastic Block Models with Structural Constraints (abstract)

Exchangeable random permutations with an application to Bayesian graph matching (abstract)

Massive Particle Systems, Wasserstein Brownian Motions, and the Dean--Kawasaki SPDE (abstract)

A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm - Part 2 (abstract)

A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn’s algorithm - Part 1 (abstract)

Properties of diffusion transport maps via creation of log-semiconcavity along heat flows (abstract)

A probabilistic approach for optimal stopping mean-field games (abstract)

Mean-Field Optimal Control Approach to Deep Learning (abstract)

Mean field games with option to buy information (abstract)

Uniqueness for Finite-State Mean Field Games with Non-Separable Hamiltonians (abstract)

Multivariate additive subordination with applications in finance (abstract)

Parametric local volatility: Exact prices lead to sound continuous Markovian models (abstract)

A Double Jump Stochastic Volatility model based on a Compound CARMA(p,q)-Hawkes (abstract)

Functional PCA for Risk-Neutral densities in Bayes space (abstract)

A Quantum-Probabilistic Framework for Decision-Making under Vagueness (abstract)

Artificial Experts in Multi-Criteria Group Decision-Making (abstract)

Modeling Vagueness in Large Language Models: A Hybrid Logical-Probabilistic Perspective on Moral Classification and Constrained Generation (abstract)

An Application of Fuzzy Set Theory and Interval-Based Distances for Expert Judgment Aggregation (abstract)

Some results on general $\Lambda$-quantiles (abstract)

Ordering and measuring the complexity of lotteries (abstract)

Event Valence and Subjective Probability (abstract)

Disappointment aversion and expectiles (abstract)

Can the introduction of resetting expedite the first passage of a diffusion process? (abstract)

Master Equations for Continuous-Time Random Walks with Stochastic Resetting (abstract)

On some drift-based transformations of multidimensional diffusion processes and their applications (abstract)

Modeling Monkeypox transmission through stochastic dynamics with self-excitation (abstract)

Large-sample asymptotics of coalescent importance sampling algorithms (abstract)

Gamma duality and a tractable transition density for the Wright-Fisher diffusion with selection (abstract)

Multi-type logistic branching processes with selection: frequency process and genealogy for large carrying capacities (abstract)

Dice processes, moment duality, and the propagation of exchangeability (abstract)

Robust quasi-convex and cash-subadditive risk measures: theory, duality, and applications (abstract)

Integrated expectile-based measures of inequality (abstract)

Measuring Financial Resilience Using Backward Stochastic Differential Equations (abstract)

Multivariate Robust Extremiles (abstract)

Quantitative Convergence of Trained Quantum Neural Networks to a Gaussian Process (abstract)

Edgeworth Expansions and Non-Gaussian Corrections in Finite-Width Wide Neural Networks (abstract)

Spectral and Geometric Phase Transitions in Deep Neural Networks (abstract)

Quantitative Master Theorems for Tensor Programs via the Wasserstein distance (abstract)

Stationary Mean-Field singular control of an Ornstein-Uhlenbeck process (abstract)

Mean field games in Hilbert spaces (abstract)

Existence of Strong Randomized Equilibria in Mean-Field Games of Optimal Stopping with Common Noise (abstract)

Fast-slow mean-field games with common noise (abstract)

The Wasserstein geometry of random measures (abstract)

Entropic Regularization of Rearranged Stochastic Heat Equation (abstract)

Normalizing Flows as Approximations of the Optimal Transport Map (abstract)

ResNets of All Shapes and Sizes: Quantitative Large-Scale Theory of Training Dynamics (abstract)

McKean–Vlasov dynamics with killing and memory: probabilistic representations of a McKean-type PDE (abstract)

Stochastic McKean-Vlasov dynamics with singular Lennard-Jones drift: a mesoscale regularization (abstract)

Well-posedness of a stochastic reacting particle system with non-local and Lennard–Jones interactions (abstract)

Intermediate Interactions in Particle Systems: Applications to Fluid Dynamics and Biological Modeling (abstract)

Fractional Calculus and Gaussian Processes: extensions and alternatives to fractional Brownian motion (abstract)

Generalizations of Elastic Brownian Motion (abstract)

Random walks with stochastic resetting in complex networks (abstract)

Non-local operators for Pearson diffusions (abstract)

Capturing Growth and Shock Dynamics through Lognormal Diffusions with Binomial Catastrophes (abstract)

Branching Random Walks with ageing (abstract)

On the Markov modulated Poisson process and its application in shock models (abstract)

Multidimensional random motions with a natural number of velocities (abstract)

Hard wall repulsion for the discrete Gaussian free field in random environment in supercritical dimension (abstract)

Pinning polymer model in correlated random environment (abstract)

Solidification estimates for random walks on supercritical percolation clusters (abstract)

Fluctuations of the Simple Exclusion Process on Point Processes (abstract)

Singular Mean-field Control via Singular Mean-field Games (abstract)

Optimal control of McKean-Vlasov systems under partial observation and hidden Markov switching (abstract)

Convergence for linear quadratic potential mean field games (abstract)

Mean field optimal stopping and related N -player cooperative games (abstract)

Target hitting counting process in networks and applications to evanescent random walks (abstract)

Well-posedness results and asymptotic estimates for fractional partial differential equations (abstract)

Generalized Fractional Derivative Operators and Fractional Diffusion Equations Connected to Semistable Lévy Processes (abstract)

Time-changed random evolutions and fractional hyperbolic-type equations (abstract)

Nonlinear Rough Fokker-Planck Equations (abstract)

Wick integrals (abstract)

Statistical inference for SDEs using Signatures (abstract)

Recent Developments on Singular SPDEs in Heterogeneous Media and Curved Spaces (abstract)

Long-time behaviour for birth-and-death dynamics in the continuum (abstract)

A jewel and two dials in the ideal Poisson--Voronoi tessellation (abstract)

Modified logarithmic Sobolev inequalities for point processes (abstract)

Large deviations for spatial coagulation with diffusion (abstract)

Numerical Approximation of McKean-Vlasov SDEs via Stochastic Gradient Descent (abstract)

Strong regularisation-by-noise for degenerate SDEs of kinetic type: results and open problems (abstract)

A non-local singular McKean SDE (abstract)

Martingale Problems with Distributional Drift via Regularisation: Convergence of the Euler Scheme (abstract)

A stochastic volatility approximation for a tick-by-tick price model with mean-field interaction (abstract)

Optimal reinsurance with unobservable claim arrival intensity: a Stackelberg differential game (abstract)

On consistency of optimal portfolio choice for state-dependent exponential utilities (abstract)

Economic growth models on networks with regime-switching dynamics (abstract)

Non-universal fluctuations for functionals of random neural networks (abstract)

On the Lyapunov exponent of discrete and continuum generalized Ising-models (abstract)

Critical Points and Euler characteristic for Time-Dependent Spherical Random Fields (abstract)

Random scars : overview and recent advances (abstract)

A multiscale analysis of mean-field transformers in the moderate interaction regime (abstract)

Global Optimization via Softmin Energy Minimization (abstract)

Random Quadratic Form on a Sphere: Synchronization by Common Noise (abstract)

ZOBA: An Efficient Single-loop Zeroth-order Bilevel Optimization Algorithm (abstract)

Exponential Convergence Guarantees for Iterative Markovian Fitting (abstract)

On Forgetting and Stability of Score-based Generative models (abstract)

Non-Asymptotic Convergence of Discrete Diffusion Models: Masked and Random Walk dynamics (abstract)

Algorithm- and Data-Dependent Generalization Bounds for Diffusion Models (abstract)

Beyond Schrödinger Bridges for Learning Trajectories from Snapshot Samples (abstract)

Two-sample test for laws of random probabilities via optimal transport (abstract)

Stationary Mean Field Games on networks with sticky transition condition (abstract)

Random evolution on combinatorial and metric graphs (abstract)

Constructing heavy-tailed directed hypergraphs (abstract)

Sticky vertices with energy accumulation (abstract)

Large field problem in coercive singular PDEs (abstract)

Flow equation approach to stochastic quantisation (abstract)

On spectral gaps of stochastic wave equations (abstract)

The forward-backward approach to interacting fermionic states on the lattice (abstract)

Stability of Reaction Networks with Randomly Switching Parameters - part 2 (abstract)

Stochastic ordering tools for reaction network models (abstract)

Noise induced stabilization in stochastic chemical reaction network (abstract)

Stability of Reaction Networks with Randomly Switching Parameters - Part 1 (abstract)

Real-world models for multiple term structures: a unifying HJM semimartingale framework (abstract)

Invariant cones for jump-diffusions in infinite dimensions (abstract)

Stochastic Evolution Inclusions with Nonlocal Initial Conditions (abstract)

Modeling with neural SPDEs: data-driven Heath-Jarrow-Morton models (abstract)

Multi-Criteria Decision-Making, Conditional Probabilities, and Fuzzy Sets (abstract)

Analysis of Systems through the Regression Importance Signature (abstract)

Optimizing Fuzzy Partitions for Visual Sensors (abstract)

Reinsurance games through quantile-constrained Choquet-Wasserstein approximations (abstract)

Almost conditionally identically distributed random variables (abstract)

Exchangeable measure-valued Pólya sequences (abstract)

Asymptotic and empirical properties of some classes of predictive distribution (abstract)

Predictive Bernstein-von Mises Theorems (abstract)

Bayesian nonparametric inference for covariate-driven point processes (abstract)

Low-Dose Tomography of Random Fields and the Problem of Continuous Heterogeneity (abstract)

Guidelines for Cubature-based Likelihood approximation of 3D Poisson Point Processes (abstract)

Bayesian nonparametric estimation of spatio-temporal Hawkes processes (abstract)

Flowing Datasets with Wasserstein over Wasserstein Gradient Flows (abstract)

Hilbert-Based Correlation Indices for Distributional Data (abstract)

Wasserstein Least Squares: statistics, geometry, and algorithms (abstract)

Learning ergodic dynamical systems from finite trajectories (abstract)

Probability graphons and large deviations for random weighted graphs (abstract)

Convergence of subgraph densities in ERGMs (abstract)

Spectral properties of directed inhomogeneous graphs (abstract)

Exponential Random Edge-Colored Graphs via Probability Graphons: Free Energies and Extremal Colorings (abstract)

Kolmogorov equations for stochastic Volterra processes with singular kernels (abstract)

Stochastic Volterra Equations on Convex Domains (abstract)

Explosions of stochastic Volterra equations (abstract)

The Volterra signature (abstract)

Approximate 2-hop neighborhoods on incremental graphs: An efficient lazy approach (abstract)

Maintaining k-MinHash Signatures over Fully-Dynamic Data Streams with Recovery (abstract)

Payment-failure times for random Lightning paths (abstract)

The Minority Dynamics (abstract)

{Macro-Micro Inference for Galves-Löcherbach Processes: Robust Synaptic Classification via Spike-Triggered Extrapolation (abstract)

Laplace's first law of errors applied to Markov and non-Markov diffusive motion (abstract)

Functional marked self-exciting point process models (abstract)

A fractional Hawkes process (abstract)

Nonparametric Inference for Multivariate and Complex Data Structures (abstract)

Permutation Tests and NPC Methodology. Theory and Application in Education, in Clinical Research and in Social Security (abstract)

An EWMA Control Chart to Monitor a Multivariate Binomial Process (abstract)

New Distributed Beacon-Based Approaches for Multi-Parameter Monitoring: Sentinel-GRID (abstract)