Случайные явления, распределения, корреляция и выборочные методы анализа эмпирических данных.


127 публикаций

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Probabilistic Zero Bounds of Certain Random Polynomials
Space-Time Log-Sobolev Inequality and Hypocoercive Hypercontractivity for Underdamped Langevin Dynamics
An extension of Stein's method incorporating dependence
From Coefficients to Distributions: De~Moivre and the Operational View of Probability
ПРИМЕНЕНИЕ МЕТОДОВ ВЫСШЕЙ МАТЕМАТИКИ В СОВРЕМЕННЫХ НАУЧНЫХ ИССЛЕДОВАНИЯХ
Diffusion Fluid Antenna Systems for Resilient ISAC
Entrywise Error Bounds for Spectral Ranking with Semi-Random Adversaries
Move on Muon : A Hamiltonian probability gradient flow perspective of Muon optimizer
Integration by Parts Formulas of Mckean-Vlasov SDEs with Jumps and Some Applications
The complex property of the boundary operator on simplicial complexes
Asymptotic Probabilities of Attaining the Maximum in Heterogeneous Gaussian Samples
Markov Renewal and Piecewise Deterministic Processes
State-dependent inverse-subordinator time changes of regenerative processes: Excursion structure and multiscale occupation-time limits
Geodesics and Wandering Exponents in Brochette First-Passage Percolation
Visibility in the Boolean Model on Harmonic Manifolds
On the exact decoding error probability exponent of the random coding on BSC
A note on several inverse problems with generally random coefficients
Quasihelix properties of selected Volterra Gaussian processes
Markov Processes
State-Dependent Immigration Structures
Hitting Time Distribution
Spanning triangulations in random graphs
Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials
Note on the Weak Convergence of Hyperplane $α$-Quantile Functionals and Their Continuity in the Skorokhod J1 Topology
Basic Concepts in Probability
The non-Hermitian minor process
The Martin boundary of the Directed Landscape
A dice game, a multinomial walk, and the inverted Dirichlet distribution
A random walk approach to high-dimensional critical phenomena
Irreducible Markov Chains
Holographic functions and neural networks
Extremes of Gaussian fields with a product term in the variance
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
General Markov Processes
Branching Particle Systems
Small-Branching Fluctuation Limits
Limit Laws for Consensus Protocols on the Complete Graph
Most Probable KAM Tori in Stochastic Hamiltonian Systems Driven by Multiplicative Noise
Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions
Tail exponents of the three-dimensional uniform spanning tree and Abelian sandpile
Markov Processes
A Martingale Approach
Some Background Markov Process Theory
Markov Chains
Nonconcentration of hitting times for random walks on graphs
Quantum Viterbi Algorithm
Rank Based Routing in Large Server Systems under Extreme Congestion
Limit theorems for random walks with spatio-temporal drift
Random Processes: Markov Times
Continuous-Time Markov Decision Processes
Discrete-Time Markov Chains
Continuous-Time Markov Chains
Seasonal Statistics of Shannon Capacity in a Dynamical Poisson-Voronoi Cellular Network
On the small-step quarter plane lattice walks with a non D-finite univariate generating function
Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting
Zero correlations and averaged fields of orthonormal Gaussian functions
Transportation cost inequalities for mean reflection SPDEs with white noise
Markov Chains
Markov Processes and Stochastic Differential Equations
One-Dimensional Branching Processes
Markov Chains, Continuous Time
Faster random walks via infrequent steering
Lattice random-field Widom--Rowlinson models
Kernel Characterisations of Stochastic Orders Within Parametric Density Families
Basic Regularities of Superprocesses
Numerical Methods
Genesis of Markov Chains by Circuits: The Circuit Chains
Singular Perturbations
Classification aggregation: a quantitative impossibility theorem
On the Structural Foundations of Signature Volatility Models: Existence, Arbitrage, Completeness, and the Hedging-Error Decomposition
QPLEX Decision Processes: Formulation via Nonlinear Markov Chains and Optimization via Policy Gradients
Almost periodicity as a path property for $p$-adic self-similar processes with stationary increments
Loop pruning and downward deviations for maximum local time of discrete-time simple random walks
Revisiting Toeplitz and Hankel random matrices via $*$-convergence of circulant-type matrices
Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Burnside process on parking functions and Dyck paths
The non-central gamma sum and difference distributions: exact distribution and asymptotic expansions
Equivalence and Separation for Multivariate Matrix-Exponential and Phase-Type Distribution Classes
Variance Minimization
Optimal Stopping of Markov Processes
First Steps with PDMPs
Reversible Markov Chains
Path-Valued Processes and Stochastic Flows
Markov Renewal Processes and Related Processes
Measure-Valued Branching Markov Processes
Markov Chains
Non--exchangeable mean field games with moderate interactions and common noise
Sharp Phase Transition for the Formation of Infinite Tubes
The critical activation density in graph bootstrap percolation
Stochastic Safety Limits and Scale-Dependent Power Fluctuations in Nuclear Reactors: A Critical Scaling Approach
The Rotational Theory of Markov Processes
Cycloid Markov Processes
Spectral Theory of Circuit Processes
Perfect simulation for interacting Hawkes processes with reset-induced variable length memory
Determinantal point processes associated with the Bochner-Schrödinger operator
When Does the Dice Sum Become Prime?
An analytical approach to calculating stationary PDFs for reflected random walks with an application to BESS-based ramp-rate control
Central limit theorem for the homozygosity of the hierarchical Pitman-Yor process
Mean Field Games in Hilbert Spaces with Degenerate Diffusion: A Viscosity Solution Approach
A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention
Optimal Control of Markov Processes: Classical Solutions
Probability Theory and Stochastic Processes
Markov Processes on Banach Spaces on Cycles
Introduction and Summary
Markov Processes and Probability Applications in Analysis
Advanced Optimality Criteria
Markov Jump Processes
Probability Tools for Stochastic Modelling
Markov Chains, Discrete Time
Measure-Valued Branching Processes
Controlled Markov Processes and Viscosity Solutions
Stochastic Properties in Terms of Circuits
Martingales and More General Markov Processes
Stability
Constructions by Transformations
Statistical Methods for Markov Processes
Intensity of Some Marked Point Processes
Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise
Stochastic evolution equations driven by arbitrary cylindrical Lévy processes
SPLIT: SymPathy for Large jobs Improves Tail latency
Upper Bounds for Symmetric Approximate Bounded Indistinguishability
Irregular SLE(4) martingales and isomonodromic deformations
Learning Perturbations to Extrapolate Your LLM
Dependence functions based on Chatterjee's rank correlation
Weighted and Truncated Tail Index Estimation under Random Censoring: A Unified Full-Range Framework
Pattern-based tests for two-dimensional copulas
What is Learnable in Valiant's Theory of the Learnable?