Strong diffusion approximation in averaging with dynamical systems fast motions

DOI10.1007/s11856-022-2442-zzbMath1504.60057arXiv2105.01940OpenAlexW4313325177MaRDI QIDQ2677816

Yuri Kifer

Publication date: 6 January 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01940

zbMATH Keywords

Brownian motionsfast-slow motionsstationary vector stochastic process

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• Smooth approximation of stochastic differential equations
• Almost sure invariance principle for nonuniformly hyperbolic systems
• A vector-valued almost sure invariance principle for hyperbolic dynamical systems
• Short proof of a discrete Gronwall inequality
• The ergodic theory of axiom A flows
• Approximation theorems for independent and weakly dependent random vectors
• Deterministic homogenization under optimal moment assumptions for fast-slow systems. II
• Rate of convergence in the weak invariance principle for deterministic systems
• The Problem of Embedding Vector-Valued Martingales in a Gaussian Process
• Approximation by Brownian motion for Gibbs measures and flows under a function
• Almost sure invariance principles for partial sums of weakly dependent random variables
• A Limit Theorem for Solutions of Differential Equations with Random Right-Hand Side
• Nonconventional Limit Theorems and Random Dynamics
• Asymptotic theory of mixing stochastic ordinary differential equations
• Mixing Properties and Central Limit Theorem for a Class of Non-Identical Piecewise Monotonic C ² - Transformations
• Lectures on Mathematical Finance and Related Topics
• Homogenization for deterministic maps and multiplicative noise
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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