scientific article

zbMath1120.28001MaRDI QIDQ3415147

Vladimir I. Bogachev

Publication date: 15 January 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

conditional measuresconvergence of measuresProkhorov's theoremconstruction of measuresLebesgue integral and \(L^p\)-spacesmeasure and topology

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Probabilistic measure theory (60A10) Convergence of probability measures (60B10) Measures and integrals in product spaces (28A35) Probability theory on algebraic and topological structures (60B99) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02)

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the Monge and Kantorovich problems are not equal ⋮ Strong solutions to stochastic equations with Lévy noise and a discontinuous drift coefficient ⋮ The necessity of nowhere equivalence ⋮ The Riemannian \(L^{2}\) topology on the manifold of Riemannian metrics ⋮ \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane ⋮ An incremental harmonic balance-based approach for harmonic analysis of closed-loop systems with Prandtl-Ishlinskii operator ⋮ Chaos game for IFSs on topological spaces ⋮ From integral estimates of functions to uniform and locally averaged ones ⋮ Continuous and discrete state estimation for switched LPV systems using parameter identification ⋮ Monotonicity-based ranking on the basis of multiple partially specified reciprocal relations ⋮ Convergence of bi-measure \(\mathbb{R}\)-trees and the pruning process ⋮ Dudley metric and continuity of functional integrals ⋮ Dynamic directed random matching ⋮ Initial enlargement of filtrations and entropy of Poisson compensators ⋮ Dependence measuring from conditional variances ⋮ Gradient flow for the Boltzmann entropy and Cheeger's energy on time-dependent metric measure spaces ⋮ Financial markets with a large trader ⋮ Conditioning using conditional expectations: the Borel-Kolmogorov paradox ⋮ Corrigendum to: ``Highly rotating viscous compressible fluids in presence of capillarity effects ⋮ Geometry of the expected value set and the set-valued sample mean process ⋮ The asymptotic distribution of the isotonic regression estimator over a general countable pre-ordered set ⋮ The infinitesimal multiplicities and orientations of the blow-up set of the Seiberg-Witten equation with multiple spinors ⋮ An ergodic decomposition defined by regular jointly measurable Markov semigroups on Polish spaces ⋮ Diffusion with nonlocal Robin boundary conditions ⋮ Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients ⋮ Chentsov's theorem for exponential families ⋮ Towards efficient maximum likelihood estimation of LPV-SS models ⋮ Estimation of spectral functionals for Lévy-driven continuous-time linear models with tapered data ⋮ On the Kantorovich-Rubinstein theorem ⋮ Measure and integration: The basic extension theorems ⋮ A class of conserved surface layer integrals for causal variational principles ⋮ On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity ⋮ A new proof of Doob's theorem ⋮ Partial differential inclusions of transport type with state constraints ⋮ Data depth for measurable noisy random functions ⋮ On a class of mixed Choquard-Schrödinger-Poisson systems ⋮ Dependence of eigenvalues on the diffusion operators with random jumps from the boundary ⋮ Transition densities and traces for invariant Feller processes on compact symmetric spaces ⋮ Hyperpriors for Matérn fields with applications in Bayesian inversion ⋮ A non-local problem for the Fokker-Planck equation related to the Becker-Döring model ⋮ Ergodicity of an SPDE associated with a many-server queue ⋮ Wild high-dimensional Cantor fences in \(\mathbb{R}^n\). I ⋮ Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection ⋮ Approximation of discounted minimax Markov control problems and zero-sum Markov games using Hausdorff and Wasserstein distances ⋮ Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases ⋮ A characterization of Nikolskii-Besov classes via integration by parts ⋮ Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances ⋮ Asset pricing in an imperfect world ⋮ Computability on random events and variables in a computable probability space ⋮ Almost everywhere well-posedness of continuity equations with measure initial data ⋮ Necessary conditions for metrics in integral Bernstein-type inequalities ⋮ First order tameness of measures ⋮ A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients ⋮ Groundstates of the Choquard equations with a sign-changing self-interaction potential ⋮ Convergence in variation for Bernstein-type operators ⋮ Mass transport generated by a flow of Gauss maps ⋮ Stability analysis for optimal control problems governed by semilinear evolution equation ⋮ Convergence of semigroups of complex measures on a Lie group ⋮ Bounds for Pach's selection theorem and for the minimum solid angle in a simplex ⋮ Tensor products of normed and Banach quasi \(^*\)-algebras ⋮ Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion ⋮ Strong law of large numbers for the \(L^1\)-Karcher mean ⋮ Multiple positive solutions for Schrödinger-Poisson system in \(\mathbb{R}^{3}\) involving concave-convex nonlinearities with critical exponent ⋮ Some new facts concerning the delta neutral case of Fox's \(H\) function ⋮ Probability measures on infinite-dimensional Stiefel manifolds ⋮ Homological triviality of the category of \(L_p\)-modules ⋮ Kirchhoff-Hardy fractional problems with lack of compactness ⋮ Limit theorems for \(p\)-adic valued asymmetric semistable laws and processes ⋮ On ergodic decompositions related to the Kantorovich problem ⋮ Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations ⋮ Functions of bounded variation on infinite-dimensional spaces with measures ⋮ Estimates of distances between transition probabilities of diffusions ⋮ Concentration, Ricci curvature, and eigenvalues of Laplacian ⋮ Positive functionals induced by minimizers of causal variational principles ⋮ On Stein's method for multivariate self-decomposable laws with finite first moment ⋮ Asymptotic stability of empirical processes and related functionals ⋮ Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics ⋮ Transport of measures on networks ⋮ Absolute continuity of distributions of polynomials on spaces with log-concave measures ⋮ Weighted Zolotarev metrics and the Kantorovich metric ⋮ Disintegration of positive isometric group representations on \(\mathrm {L}^{p}\)-spaces ⋮ Optimal transport, gradient estimates, and pathwise Brownian coupling on spaces with variable Ricci bounds ⋮ Metrization of the space of weakly additive positively-homogeneous functionals ⋮ A unified variational approach to discontinuous differential equations ⋮ On extensions of characteristic functions ⋮ Remark on norm compactness in \(L^p(\mu,X)\) ⋮ Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan-Shen transversality conditions ⋮ Pathwise McKean-Vlasov theory with additive noise ⋮ Functional large deviations for Cox processes and \(Cox / G / \infty\) queues, with a biological application ⋮ A Hamiltonian formulation of causal variational principles ⋮ Aggregated occupation measures and linear programming approach to constrained impulse control problems ⋮ \(\ell^2(G)\)-linear independence for systems generated by dual integrable representations of LCA groups ⋮ An estimate for narrow operators on \(L^p([0,1)\)] ⋮ Best \(N\)-simultaneous approximation in \(L_p(\mu, X)\) ⋮ Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? ⋮ A note on the Birkhoff ergodic theorem ⋮ Kantorovich duality for general transport costs and applications ⋮ Martingale optimal transport duality ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ Fully distributed consensus control for a class of disturbed second-order multi-agent systems with directed networks ⋮ Continuous spin models on annealed generalized random graphs ⋮ Robust exact differentiators with predefined convergence time ⋮ Integrability and continuity of solutions to double divergence form equations ⋮ The uniqueness of the Fisher metric as information metric ⋮ On sequential properties of spaces of measures ⋮ On approximation of measures by their finite-dimensional images ⋮ The multidimensional truncated moment problem: the moment cone ⋮ Topics of measure theory on infinite dimensional spaces ⋮ A generalized polar-coordinate integration formula with applications to the study of convolution powers of complex-valued functions on \(\mathbb{Z}^d\) ⋮ Sparse approximation of triangular transports. II: The infinite-dimensional case ⋮ The Brown-Halmos theorem for a pair of abstract Hardy spaces ⋮ Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry ⋮ On Hurwicz-Nash equilibria of non-Bayesian games under incomplete information ⋮ Nonlocal perturbations of the fractional Choquard equation ⋮ Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction: closing the Ising gap ⋮ Set theory and the analyst ⋮ Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure ⋮ Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space ⋮ Convex duality in nonlinear optimal transport ⋮ Asymptotic measures and links in simplicial complexes ⋮ On frame properties of iterates of a multiplication operator ⋮ SSB representation of preferences: weakening of convexity assumptions ⋮ Potential-theoretical methods in the construction of measure-valued Markov branching processes ⋮ Periodic homogenization with an interface: the multi-dimensional case ⋮ Generalized joint spectral radius and stability of switching systems ⋮ Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below ⋮ Weak regularity of Gauss mass transport ⋮ Expansive measures for flows ⋮ A path integral formulation of the Wright-Fisher process with genic selection ⋮ Limit theorems for translation flows ⋮ Semigroups of partial isometries ⋮ Nonlinear elastic free energies and gradient Young-Gibbs measures ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ Maximal stream and minimal cutset for first passage percolation through a domain of \(\mathbb{R}^{d}\) ⋮ On the notion(s) of duality for Markov processes ⋮ Dividend optimization for regime-switching general diffusions ⋮ Brittleness of Bayesian inference under finite information in a continuous world ⋮ Intersection and proximity of processes of flats ⋮ Limit formulas for metric measure invariants and phase transition property ⋮ On the sequential normal compactness condition and its restrictiveness in selected function spaces ⋮ Exact coupling of random walks on Polish groups ⋮ A probabilistic approach to Dirac concentration in nonlocal models of adaptation with several resources ⋮ Moments of the weighted Cantor measures ⋮ Super-Ricci flows and improved gradient and transport estimates ⋮ Stochastic approximations of constrained discounted Markov decision processes ⋮ A note on stochastic semilinear equations and their associated Fokker-Planck equations ⋮ On the forward rate concept in multi-state life insurance ⋮ Mild solutions to a measure-valued mass evolution problem with flux boundary conditions ⋮ On convex compact sets of positive measure in linear spaces ⋮ The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker-Planck-Kolmogorov equations ⋮ Ornstein-Uhlenbeck processes driven by cylindrical Lévy processes ⋮ Probabilistic computability and choice ⋮ The continuity equation on metric measure spaces ⋮ Flows, currents, and cycles for Markov chains: large deviation asymptotics ⋮ Restricted Hausdorff content, Frostman's lemma and Choquet integrals ⋮ Existence and stability analysis for nonlinear optimal control problems with \(1\)-mean equicontinuous controls ⋮ Polynomials on spaces with logarithmically concave measures ⋮ Lower bounds for the Kantorovich distance ⋮ Integral identity and measure estimates for stationary Fokker-Planck equations ⋮ The Zak transform and the structure of spaces invariant by the action of an LCA group ⋮ The difference between LSMC and replicating portfolio in insurance liability modeling ⋮ Demuth’s Path to Randomness ⋮ Randomness and differentiability ⋮ Minimal sufficient positive-operator valued measure on a separable Hilbert space ⋮ Brownian representations of cylindrical continuous local martingales ⋮ Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations ⋮ Optimal Reparametrizations in the Square Root Velocity Framework ⋮ Entropic and Displacement Interpolation: A Computational Approach Using the Hilbert Metric ⋮ Infinite-server queues with Hawkes input ⋮ Markov--Nash Equilibria in Mean-Field Games with Discounted Cost ⋮ Convergence of Finite Element Methods for Singular Stochastic Control ⋮ Analysis of the Diffuse Domain Approach for a Bulk-Surface Coupled PDE System ⋮ Multi-normed spaces based on non-discrete measures and their tensor products ⋮ Finitely additive, modular, and probability functions on pre-Semirings ⋮ Lyapunov’s theorem for continuous frames ⋮ On the Ashtekar-Lewandowski measure as a restriction of the product one ⋮ Any Random Variable with Finite Moments Is a Sum of Two Variables with Determinate Moment Problem ⋮ Tent Spaces over Metric Measure Spaces under Doubling and Related Assumptions ⋮ On the differential structure of metric measure spaces and applications ⋮ Computability of validity and satisfiability in probability logics over finite and countable models ⋮ Graphical Markov models for infinitely many variables ⋮ Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\) ⋮ On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals ⋮ Discrete-to-continuum convergence of charged particles in 1D with annihilation ⋮ Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use ⋮ Convex Analysis in Decentralized Stochastic Control, Strategic Measures, and Optimal Solutions ⋮ Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels ⋮ Neural networks in Fréchet spaces ⋮ Ergodic quasi-exchangeable stationary processes are isomorphic to Bernoulli processes ⋮ Quasiconformal geometry and removable sets for conformal mappings ⋮ Large deviation principles for renewal-reward processes ⋮ Recovery of functions on \(p\)-adic groups ⋮ Multiplicity of solutions for a \(p\)-Schrödinger-Kirchhoff-type integro-differential equation ⋮ Large deviations and gradient flows for the Brownian one-dimensional hard-rod system ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ Korovkin-type theorems for weakly nonlinear and monotone operators ⋮ On the weak convergence of shift operators to zero on rearrangement-invariant spaces ⋮ Topological dynamics of kaleidoscopic groups ⋮ GENERAL PROPERTIES OF BAYESIAN LEARNING AS STATISTICAL INFERENCE DETERMINED BY CONDITIONAL EXPECTATIONS ⋮ Integral functionals on nonseparable Banach spaces with applications ⋮ Euler-Lagrange equation for a minimization problem over monotone transport maps ⋮ Binary optimal control by trust-region steepest descent ⋮ Causal Transport in Discrete Time and Applications ⋮ Absolute continuity with respect to a subset of an interval ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ Shapley-Folkman-Lyapunov theorem and asymmetric first price auctions ⋮ Marcinkiewicz interpolation theorem for spaces of Hardy type ⋮ Causal variational principles in the infinite-dimensional setting: existence of minimizers ⋮ Bayes-optimal prediction with frequentist coverage control ⋮ Multivariate \(\alpha\)-stable distributions: VAR(1) processes, measures of dependence and their estimations ⋮ Probabilistic representations of fragmentation equations ⋮ Continuous dependence in a problem of convergence of random iteration ⋮ Duality Formulas for Robust Pricing and Hedging in Discrete Time ⋮ Genericity of the completeness condition with constrained instruments ⋮ On Kantorovich problems with a parameter ⋮ Continuous-time Markov decision processes under the risk-sensitive first passage discounted cost criterion ⋮ Continuum limit of Lipschitz learning on graphs ⋮ Entropy martingale optimal transport and nonlinear pricing-hedging duality ⋮ Foreign exchange options on Heston-CIR model under Lévy process framework ⋮ Stochastic partial differential equations: a rough paths view on weak solutions via Feynman–Kac ⋮ Markov risk mappings and risk-sensitive optimal prediction ⋮ Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey ⋮ Kantorovich type topologies on spaces of measures and convergence of barycenters ⋮ Random Forward Models and Log-Likelihoods in Bayesian Inverse Problems ⋮ Free to move or trapped in your group: Mathematical modeling of information overload and coordination in crowded populations ⋮ A connection between mixing and Kac's chaos ⋮ Random Function Iterations for Consistent Stochastic Feasibility ⋮ Tightness and weak convergence of probabilities on the Skorokhod space on the dual of a nuclear space and applications ⋮ Conformal Graph Directed Markov Systems on Carnot Groups ⋮ On Well-Posedness of Semilinear Stochastic Evolution Equations on $L_p$ Spaces ⋮ Variational Bayes and a problem of reliable communication: II. Infinite systems ⋮ Well-Posed Bayesian Inverse Problems with Infinitely Divisible and Heavy-Tailed Prior Measures ⋮ The wave model of a metric space with measure and an application ⋮ Uniform attractors for measure-driven quintic wave equations ⋮ Distances between Stationary Distributions of Diffusions and Solvability of Nonlinear Fokker--Planck--Kolmogorov Equations ⋮ Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces ⋮ A construction of trivial Beltrami coefficients ⋮ Sufficiency of Deterministic Policies for Atomless Discounted and Uniformly Absorbing MDPs with Multiple Criteria ⋮ Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below ⋮ Fr\'echet barycenters in the Monge-Kantorovich spaces ⋮ Unnamed Item ⋮ Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach ⋮ Expansivity for measures on uniform spaces ⋮ Quantum steering with positive operator valued measures ⋮ Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls ⋮ Constrained and Unconstrained Optimal Discounted Control of Piecewise Deterministic Markov Processes ⋮ Representation of increasing convex functionals with countably additive measures ⋮ Compact reduction in Lipschitz-free spaces ⋮ Constrained nonsmooth problems of the calculus of variations ⋮ RETRACTED - Compact reduction in Lipschitz-free spaces ⋮ Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces ⋮ On Standardness and I-cosiness ⋮ Approximate Markov-Nash Equilibria for Discrete-Time Risk-Sensitive Mean-Field Games ⋮ Atomistic origins of continuum dislocation dynamics ⋮ On selfadjoint extensions of semigroups of partial isometries ⋮ The inclusion problem for mixed norm spaces ⋮ Minimax Estimation of Kernel Mean Embeddings ⋮ Absorbing Continuous-Time Markov Decision Processes with Total Cost Criteria ⋮ Deficient topological measures and functionals generated by them ⋮ Singular measure traveling waves in an epidemiological model with continuous phenotypes ⋮ Generalized Stieltjes functions and their exact order ⋮ Controlled Diffusion Mean Field Games with Common Noise and McKean--Vlasov Second Order Backward SDEs ⋮ Mean curvature motion of point cloud varifolds ⋮ Near Optimality of Stochastic Control for Singularly Perturbed McKean--Vlasov Systems ⋮ A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients ⋮ Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Limiting Spectral Distribution for Large Sample Covariance Matrices with Graph-Dependent Elements ⋮ Stability of transition semigroups and applications to parabolic equations ⋮ Extension of continuous linear operators on C_b(X, E) ⋮ Medida y topología: la línea de Sorgenfrey ⋮ The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability ⋮ A class of stochastic products on the convex set of quantum states ⋮ Functional limit theorems for Volterra processes and applications to homogenization* ⋮ Averaging of random orthogonal transformations of domain of functions ⋮ Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis ⋮ GAMES AND HEREDITARY BAIRENESS IN HYPERSPACES AND SPACES OF PROBABILITY MEASURES ⋮ Robustness to Incorrect Priors and Controlled Filter Stability in Partially Observed Stochastic Control ⋮ Gaussian random fields: with and without covariances ⋮ Limit theorems for filtered long-range dependent random fields ⋮ A transformation method to study the solvability of fully coupled FBSDEs ⋮ Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces ⋮ Weak Compactness Problem for Sets of Bounded Radon Measures on Various Topological Spaces ⋮ The microlocal irregularity of Gaussian noise ⋮ Integral operators for nonlocally compact group modules ⋮ A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media ⋮ Subset currents on surfaces ⋮ Markov Decision Processes with Incomplete Information and Semiuniform Feller Transition Probabilities ⋮ Designing metrics; the delta metric for curves ⋮ Approximate Nash Equilibria in Partially Observed Stochastic Games with Mean-Field Interactions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stochastic filtering and optimal control of pure jump Markov processes with noise-free partial observation ⋮ Regularity of the minimiser of one-dimensional interaction energies ⋮ Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations ⋮ Self-Similar Behavior of a Nonlocal Diffusion Equation with Time Delay ⋮ Robust Framework for Quantifying the Value of Information in Pricing and Hedging ⋮ Optimal Execution with Rough Path Signatures ⋮ Choquard equations with critical nonlinearities ⋮ An approach to F. Riesz representation Theorem ⋮ Non-uniform Kozlov–Treschev averagings in the ergodic theorem ⋮ Separately Radial Fock-Carleson Type Measures for Derivatives of Order k ⋮ Numerical analysis of sparse initial data identification for parabolic problems ⋮ On the average L^q-dimensions of typical measures belonging to the Gromov–Hausdorff–Prohoroff space. The limiting cases: q = 1 and q = ∞ ⋮ An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group ⋮ Unnamed Item ⋮ On Optimal Transport of Matrix-Valued Measures ⋮ Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations ⋮ Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials ⋮ Unnamed Item ⋮ AHLFORS–DAVID REGULAR SUBSETS OF FRACTALS ⋮ Stackelberg solution of first-order mean field game with a major player ⋮ A note on stochastic dominance, uniform integrability and lattice properties ⋮ Semantic limits of dense combinatorial objects ⋮ Variational regularisation for inverse problems with imperfect forward operators and general noise models ⋮ Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations ⋮ On barycenters of probability measures ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ Regularization of cylindrical processes in locally convex spaces ⋮ Average Cost Markov Decision Processes with Semi-Uniform Feller Transition Probabilities ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Expected Utility Maximization with Stochastic Dominance Constraints in Complete Markets ⋮ Short Communication: Robust Market-Adjusted Systemic Risk Measures ⋮ Geometric stochastic heat equations ⋮ Statistical solutions of the incompressible Euler equations ⋮ Unnamed Item ⋮ On quasi-infinitely divisible distributions ⋮ Ground state and bounded state solution for the nonlinear fractional Choquard-Schrödinger-Poisson system ⋮ Passing from Discrete to Continuum Models of Electrostatic Energy ⋮ Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle ⋮ Convergence theorems for barycentric maps ⋮ The Helmholtz Equation in Random Media: Well-Posedness and A Priori Bounds ⋮ A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems ⋮ Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in thep-adic numbers ⋮ Random matrix ensembles with split limiting behavior ⋮ Reconstruction from convolution random sampling in local shift invariant spaces ⋮ Flow solutions of transport equations ⋮ Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions ⋮ Fatou's Lemma for Weakly Converging Measures under the Uniform Integrability Condition ⋮ Statistical estimation of conditional Shannon entropy ⋮ On an uniqueness theorem for characteristic functions ⋮ Infinitely many solutions for the p-fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity ⋮ Discrete-time average-cost mean-field games on Polish spaces ⋮ Generalized support vector regression: Duality and tensor-kernel representation ⋮ Weakly contractive iterated function systems and beyond: a manual ⋮ Information upper bound for McKean–Vlasov stochastic differential equations ⋮ Unnamed Item ⋮ The e-property of asymptotically stable Markov–Feller operators ⋮ Linear convergence of accelerated conditional gradient algorithms in spaces of measures ⋮ on a certain compactification of an arbitrary subset of ℝ^m and its applications to DiPerna-Majda measures theory ⋮ Full proof of Kwapień’s theorem on representing bounded mean zero functions on $[0,1$] ⋮ Moreau Envelope of Supremum Functions with Applications to Infinite and Stochastic Programming ⋮ Analysis of seismic inversion with optimal transportation and softplus encoding ⋮ Unnamed Item ⋮ Extensions of Rosenblatt's results on the asymptotic behavior of the prediction error for deterministic stationary sequences ⋮ Structure-preserving deep learning ⋮ Hausdorff dimension, heavy tails, and generalization in neural networks* ⋮ Generalized Leibniz Rules and Lipschitzian Stability for Expected-Integral Mappings ⋮ On the extremal points of the ball of the Benamou–Brenier energy ⋮ Uniformization of metric surfaces using isothermal coordinates ⋮ Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses ⋮ Tree limits and limits of random trees ⋮ Nonlinear parabolic equations for measures ⋮ Least action nodal solutions for the quadratic Choquard equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ USING ALMOST-EVERYWHERE THEOREMS FROM ANALYSIS TO STUDY RANDOMNESS ⋮ Verification of General Markov Decision Processes by Approximate Similarity Relations and Policy Refinement ⋮ Homogenisation of dynamical optimal transport on periodic graphs ⋮ Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration ⋮ Invariance of sets under mutational inclusions on metric spaces ⋮ Balanced-viscosity solutions to infinite-dimensional multi-rate systems ⋮ Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow ⋮ Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption ⋮ Extension of the continuity theorems of Lebesgue integration ⋮ On numerical approximations of fractional and nonlocal mean field games ⋮ Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces ⋮ Sobolev Spaces in Extended Metric-Measure Spaces ⋮ Nonlocal Wasserstein distance: metric and asymptotic properties ⋮ Causal state feedback representation for linear quadratic optimal control problems of singular Volterra integral equations ⋮ Robust utility maximization with nonlinear continuous semimartingales ⋮ Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel ⋮ Filippov’s Theorem for mutational inclusions in a metric space ⋮ Markov chain generative adversarial neural networks for solving Bayesian inverse problems in physics applications ⋮ Perturbation analysis of sub/super hedging problems ⋮ New type of fractal functions for the general data sets ⋮ Filippov lemma for measure differential inclusion ⋮ An averaging principle for fast-slow-coupled neutral stochastic differential equations with time-varying delay ⋮ A non-trivial solution for a \(p\)-Schrödinger-Kirchhoff-type integro-differential system by non-smooth techniques ⋮ Local vector measures ⋮ Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity ⋮ Multiscale coupling and the maximum of \(\mathcal{P}(\phi)_2\) models on the torus ⋮ Structural properties of Gibbsian point processes in abstract spaces ⋮ Almost sure uniform convergence of stochastic processes in the dual of a nuclear space ⋮ Block-recursive equilibria in heterogeneous-agent models ⋮ DLR-KMS correspondence on lattice spin systems ⋮ The metric-valued Lebesgue differentiation theorem in measure spaces and its applications ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave ⋮ The Brownian Castle ⋮ Phase transition for the volume of high‐dimensional random polytopes ⋮ Random cographs: Brownian graphon limit and asymptotic degree distribution ⋮ Stability of Talagrand’s inequality under concentration topology ⋮ A rigorous derivation of the functional renormalisation group equation ⋮ Symmetries in non-relativistic quantum electrodynamics ⋮ Partially observed discrete-time risk-sensitive mean field games ⋮ Изоморфизм между алгеброй измеримых функций и ее подалгеброй асимптотически дифференцируемых функций ⋮ Phase separation on varying surfaces and convergence of diffuse interface approximations ⋮ The central limit theorem for Markov processes that are exponentially ergodic in the bounded-Lipschitz norm ⋮ On Computational Constructions in Function Spaces ⋮ Feedback strategies in a game-theoretical control problem for a nonlocal continuity equation ⋮ On entropy localization of doubly stochastic operators ⋮ On Bayesian estimation of densities and sampling distributions: The posterior predictive distribution as the Bayes estimator ⋮ Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter ⋮ Non-linear affine processes with jumps ⋮ Semi-uniform Feller stochastic kernels ⋮ Proximinality and uniformly approximable sets in \(L^p\) ⋮ Explicit expressions and computational methods for the Fortet-Mourier distance of positive measures to finite weighted sums of Dirac measures ⋮ A Measure-Theoretic Interpretation of Sample Based Numerical Integration with Applications to Inverse and Prediction Problems under Uncertainty ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Note About the Strong Maximum Principle on RCD Spaces ⋮ Semiclassical states for fractional Choquard equations with critical frequency ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ A JKO Splitting Scheme for Kantorovich--Fisher--Rao Gradient Flows ⋮ The Semilinear Heat Equation on Sparse Random Graphs ⋮ Transformations and Hardy--Krause Variation ⋮ Existence and multiplicity solutions for thep–fractional Schrödinger–Kirchhoff equations with electromagnetic fields and critical nonlinearity ⋮ A functional model for the Fourier–Plancherel operator truncated to the positive semiaxis ⋮ The scaling mean and a law of large permanents ⋮ Diffusion with nonlocal boundary conditions ⋮ Limit theorems for quadratic forms of Lévy-driven continuous-time linear processes ⋮ Compactness criterion for semimartingale laws and semimartingale optimal transport ⋮ Lower bounds for integral functionals generated by bipartite graphs ⋮ The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures ⋮ Asymptotic failure rates for a general class of frailty models ⋮ Quasilinear Schrödinger equations with nonlinearities interacting with high eigenvalues ⋮ Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy ⋮ Two Metropolis--Hastings Algorithms for Posterior Measures with Non-Gaussian Priors in Infinite Dimensions ⋮ On the average L^q-dimensions of typical measures ⋮ Stability results for martingale representations: The general case ⋮ Design of Information Channels for Optimization and Stabilization in Networked Control ⋮ Poset limits can be totally ordered ⋮ On the Infinite Particle Limit in Lagrangian Dynamics and Convergence of Optimal Transportation Meshfree Methods ⋮ Funnel Control for the Boundary Controlled Heat Equation ⋮ ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations ⋮ Two-dimensional area and matter flux in the theory of causal fermion systems ⋮ Generalized $T^p_u$ spaces: On the trail of Calderón and Zygmund ⋮ Exact and asymptotic properties of δ-records in the linear drift model ⋮ Multiple solutions of systems involving fractional Kirchhoff-type equations with critical growth ⋮ Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations ⋮ A problem concerning Riemann sums ⋮ Dynamic reinsurance in discrete time minimizing the insurer's cost of capital ⋮ Model Uncertainty: A Reverse Approach ⋮ Separability Versus Robustness of Orlicz Spaces: Financial and Economic Perspectives ⋮ Duistermaat–Heckman measure and the mixture of quantum states ⋮ Well-Posed Bayesian Inverse Problems: Priors with Exponential Tails ⋮ Notes on the multiplicative ergodic theorem ⋮ Codifferentials and Quasidifferentials of the Expectation of Nonsmooth Random Integrands and Two-Stage Stochastic Programming ⋮ Integral representations of shallow neural network with Rectified Power Unit activation function ⋮ Dimensions of new fractal functions and associated measures ⋮ Automorphism invariant measures and weakly generic automorphisms ⋮ The number of \(n\)-queens configurations ⋮ Measure differential equation with a nonlinear growth/decay term ⋮ Maximum a posteriori estimators in ℓp are well-defined for diagonal Gaussian priors ⋮ Vanishing viscosity in mean-field optimal control ⋮ Chaotic tracial dynamics ⋮ Lax–Oleinik Formula on Networks ⋮ Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits ⋮ A Mecke-type characterization of the Dirichlet-Ferguson measure ⋮ Lipschitz continuity of the Wasserstein projections in the convex order on the line ⋮ Convex duality for partial hedging of American options: continuous price processes ⋮ Functional inequalities for some generalised Mehler semigroups ⋮ The Kolmogorov infinite dimensional equation in a Hilbert space via deep learning methods ⋮ On separability of the unbounded norm topology ⋮ On Radon barycenters of measures on spaces of measures ⋮ Super-Gaussian decay of exponentials: a sufficient condition ⋮ A landscape of peaks: the intermittency islands of the stochastic heat equation with Lévy noise ⋮ Dynamical programming for off-the-grid dynamic inverse problems ⋮ Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space ⋮ A note on the polar decomposition in metric spaces ⋮ Fokker-Planck-Kolmogorov equations with a parameter ⋮ Weighted Choquard equation perturbed with weighted nonlocal term ⋮ Classification of measurable functions of several variables and matrix distributions ⋮ Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations ⋮ Space of quantum states built over metrics of fixed signature ⋮ Self-similar solution for fractional Laplacian in cones ⋮ On Gilles Pisier's approach to Gaussian concentration, isoperimetry, and Poincaré-type inequalities ⋮ Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space ⋮ Norming and dense sets of extreme points of the unit ball in spaces of bounded Lipschitz functions ⋮ Second-order discontinuous ODEs and billiard problems ⋮ A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ A framework to measure the robustness of programs in the unpredictable environment ⋮ Asymptotic behavior of an epidemic model with infinitely many variants ⋮ Limit theorems of invariant measures for multivalued McKean-Vlasov stochastic differential equations ⋮ Probability computation for high-dimensional semilinear SDEs driven by isotropic \(\alpha\)-stable processes via mild Kolmogorov equations ⋮ A strong duality principle for equivalence couplings and total variation ⋮ Nonlinear continuous semimartingales ⋮ Random dynamics on real and complex projective surfaces ⋮ On smooth approximations in the Wasserstein space ⋮ Regularization for Wasserstein distributionally robust optimization ⋮ Natural differentiable structures on statistical models and the Fisher metric ⋮ Continuity of the martingale optimal transport problem on the real line ⋮ A distributed‐order fractional diffusion equation with a singular density function: Analysis and approximation ⋮ On the accept-reject mechanism for Metropolis-Hastings algorithms ⋮ Stability of the weak martingale optimal transport problem ⋮ Sobolev regularity of Gaussian random fields ⋮ There is a P-measure in the random model ⋮ Quasi-invariance under flows generated by non-linear PDEs ⋮ Multiple positive solutions for Kirchhoff-type equations involving critical-concave nonlinearities ⋮ Interpolation of operators in Hardy-type spaces ⋮ Tail adversarial stability for regularly varying linear processes and their extensions ⋮ Quasi-invariant measures on topological groups and \(\omega\)-powers ⋮ Computable aggregations of random variables ⋮ On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs ⋮ The Minkowski content measure for the Liouville quantum gravity metric ⋮ Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth ⋮ Regularity of distributions of Sobolev mappings in abstract settings ⋮ Loewner chains and evolution families on parallel slit half-planes ⋮ Nonlinear BSDEs on a general filtration with drivers depending on the martingale part of the solution ⋮ A note on \(\ell^2\)-linear independence of Gabor systems ⋮ Proof methods in random matrix theory ⋮ A condition for the identification of multivariate models with binary instruments ⋮ Conformal welding of quantum disks ⋮ Stability of backward stochastic differential equations: the general Lipschitz case ⋮ Statistical laws of a one-dimensional model of turbulent flows subject to an external random force ⋮ Remarks on the global well-posedness of the axisymmetric Boussinesq system with rough initial data ⋮ Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations ⋮ Superposition and mimicking theorems for conditional McKean-Vlasov equations ⋮ On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces ⋮ Propagation of chaos for weakly interacting mild solutions to stochastic partial differential equations ⋮ Smooth ergodic theory of \(\mathbb{Z}^d \)-actions ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation ⋮ Matrix compatibility and correlation mixture representation of generalized Gini's gamma ⋮ Projective and injective tensor products of Banach \(L^0\)-modules ⋮ Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting ⋮ Existence of infinite product measures ⋮ A Lagrange–Galerkin Scheme for First Order Mean Field Game Systems ⋮ Subgraph densities in Markov spaces ⋮ Risk-sensitivity vanishing limit for controlled Markov processes ⋮ Large-\(N\) limit of the Segal-Bargmann transforms on the spheres ⋮ Comparison theorems for evolution inclusions with maximal monotone operators. $L^2$-theory ⋮ Orthogonal intertwiners for infinite particle systems in the continuum ⋮ Dimension-independent spectral gap of polar slice sampling ⋮ Nash equilibria for total expected reward absorbing Markov games: the constrained and unconstrained cases ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Dissipative solutions to Hamiltonian systems ⋮ Kolmogorov equations for degenerate Ornstein-Uhlenbeck operators ⋮ A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions ⋮ Risk-sensitive first passage stochastic games with unbounded costs ⋮ Stein variational gradient descent: many-particle and long-time asymptotics ⋮ Designing universal causal deep learning models: The geometric (Hyper)transformer ⋮ Mean-field limit of a hybrid system for multi-lane car-truck traffic ⋮ Nonlinear operator extensions of Korovkin's theorems ⋮ Linear integral operators on \(L_p\) spaces representing polynomial covariance type commutation relations ⋮ Absorbing Markov decision processes ⋮ The nonlinear Kantorovich transportation problem with nonconvex costs ⋮ Unnamed Item ⋮ Unnamed Item