Global observables for RW: law of large numbers
From MaRDI portal
Publication:2041789
DOI10.1214/20-AIHP1072zbMath1472.60079arXiv1902.11071OpenAlexW3135940246MaRDI QIDQ2041789
Péter Nándori, Marco Lenci, Dmitry Dolgopyat
Publication date: 23 July 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.11071
Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Processes in random environments (60K37) Nonsingular (and infinite-measure preserving) transformations (37A40)
Related Items
Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Limit behaviour of random walks on ℤmwith two-sided membrane ⋮ Infinite measure mixing for some mechanical systems ⋮ Quantitative global-local mixing for accessible skew products
Cites Work
- 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
- Quenched limit theorems for nearest neighbour random walks in 1D random environment
- Uniformly expanding Markov maps of the real line: exactness and infinite mixing
- Local central limit theorem for diffusions in a degenerate and unbounded random medium
- Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
- Asymptotic behaviour of Wiener-Hopf factors of a random walk
- A law of the iterated logarithm for stable processes in random scenery
- A central limit theorem for two-dimensional random walks in random sceneries
- On infinite-volume mixing
- Pomeau-Manneville maps are global-local mixing
- An Estimate of the Remainder Term in Limit Theorems of Renewal Theory
- A limit theorem related to a new class of self similar processes
- Sur les séries dont les termes sont des variables éventuelles indépendantes
- Infinite measure renewal theorem and related results
- Pointwise convergence of Birkhoff averages for global observables
- Infinite mixing for one-dimensional maps with an indifferent fixed point
- Constructive approach to limit theorems for recurrent diffusive random walks on a strip
- On mixing and the local central limit theorem for hyperbolic flows
- Averaging methods in nonlinear dynamical systems
- Dynamic \(\mathbb{Z}^d\)-random walks in a random scenery: A strong law of large numbers
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item