Constructive approach to limit theorems for recurrent diffusive random walks on a strip
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Publication:5000003
DOI10.3233/ASY-201619zbMath1473.82014arXiv2008.11072OpenAlexW3033826901MaRDI QIDQ5000003
Dmitry Dolgopyat, Ilya Ya. Goldsheid
Publication date: 5 July 2021
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.11072
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)
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Cites Work
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- Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in i.i.d. environments
- Local limit theorems for random walks in a 1D random environment
- A local limit theorem for a transient chaotic walk in a frozen environment
- A local limit theorem for random walks in balanced environments
- One-dimensional finite range random walk in random medium and invariant measure equation
- Random walk in random environment with asymptotically zero perturbations
- Local central limit theorem for diffusions in a degenerate and unbounded random medium
- Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip
- Lingering random walks in random environment on a strip
- On the constructions of the skew Brownian motion
- An extension of Kesten's renewal theorem for random walk in a random environment
- On skew Brownian motion
- Exact convergence rates in some martingale central limit theorems
- Simple random walks on tori
- An elementary proof of the local central limit theorem
- Localization for a random walk in slowly decreasing random potential
- On infinite-volume mixing
- Invariant measure for random walks on ergodic environments on a strip
- Logarithmic speeds for one-dimensional perturbed random walks in random environments
- Transient random walks on a strip in a random environment
- On the static and dynamic points of view for certain random walks in random environment
- Limit theorems for random walks, birth and death processes, and diffusion processes
- Rate of escape and central limit theorem for the supercritical Lamperti problem
- Non-homogeneous Random Walks
- Limit theorems for random walks on a strip in subdiffusive regimes
- Central limit theorem for recurrent random walks on a strip with bounded potential
- RANDOM WALK IN QUASI-PERIODIC RANDOM ENVIRONMENT
- On the Dependence of the Convergence Rate in the Strong Law of Large Numbers for Stationary Processes on the Rate of Decay of the Correlation Function
- The method of averaging and walks in inhomogeneous environments
- The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
- Asymptotic behaviour for random walks in random environments
- Fluctuations in Markov Processes
- Martingale Central Limit Theorems
- Probability
- Random walks in a random environment
- Recurrence and transience of random walks in random environments on a strip