Quenched limits for transient, zero speed one-dimensional random walk in random environment
From MaRDI portal
Publication:1011154
DOI10.1214/08-AOP399zbMath1179.60070arXiv0704.1778MaRDI QIDQ1011154
Jonathon Peterson, Ofer Zeitouni
Publication date: 8 April 2009
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.1778
Central limit and other weak theorems (60F05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)
Related Items
On slowdown and speedup of transient random walks in random environment ⋮ Limit laws for transient random walks in random environment on \(\mathbb Z\) ⋮ Weak quenched limiting distributions for transient one-dimensional random walk in a random environment ⋮ Current fluctuations of a system of one-dimensional random walks in random environment ⋮ Weak quenched limit theorems for a random walk in a sparse random environment ⋮ Hydrodynamic limit for a system of independent, sub-ballistic random walks in a common random environment ⋮ Quenched limits for the fluctuations of transient random walks in random environment on \(\mathbb{Z}\) ⋮ Quenched limit theorems for nearest neighbour random walks in 1D random environment ⋮ Quenched central limit theorem rates of convergence for one-dimensional random walks in random environments ⋮ Arbitrary many Walkers meet infinitely often in a subballistic random environment ⋮ Quenched limits for transient, ballistic, sub-Gaussian one-dimensional random walk in random environment ⋮ Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment ⋮ Aging and quenched localization for one-dimensional random walks in random environment in the sub-ballistic regime ⋮ Biased random walks on random graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit laws for transient random walks in random environment on \(\mathbb Z\)
- Random difference equations and renewal theory for products of random matrices
- Generalized Poisson distributions as limits of sums for arrays of dependent random vectors
- Kac's moment formula and the Feynman-Kac formula for additive functionals of a Markov process
- Many visits to a single site by a transient random walk in random environment.
- Simple transient random walks in one-dimensional random environment: the central limit theorem
- Extreme Values in the GI/G/1 Queue
- Random walks in a random environment