Almost sure functional central limit theorem for the linear random walk on the torus

DOI10.1007/s00440-018-0871-8zbMath1480.60073OpenAlexW2892155903MaRDI QIDQ1729705

Jean-Baptiste Boyer

Publication date: 28 February 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-018-0871-8

zbMATH Keywords

Diophantine approximationslinear random walkmartingales central limit theorem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Equidistribution of Affine Random Walks on Some Nilmanifolds ⋮ Equidistribution of random walks on compact groups. II: The Wasserstein metric

Cites Work

• Stationary measures and invariant subsets of homogeneous spaces. III.
• Markov chains and stochastic stability
• The central limit theorem for Markov chains started at a point
• A universal result in almost sure central limit theory.
• A Liapounov bound for solutions of the Poisson equation
• Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
• Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
• The Strong Law of Large Numbers for a Class of Markov Chains
• Sharp ergodic theorems for group actions and strong ergodicity
• Subadditive mean ergodic theorems
• Optimal Transport
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