Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\)
From MaRDI portal
Publication:644784
DOI10.1007/s00440-010-0300-0zbMath1231.60121arXiv0811.4285OpenAlexW2078555028MaRDI QIDQ644784
Publication date: 7 November 2011
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.4285
reinforced random walksCayley graphstransienceDirichlet distributionmax-flow min-cut theoremrandom walks in random environment
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Directed graphs (digraphs), tournaments (05C20)
Related Items (14)
Selected Topics in Random Walks in Random Environment ⋮ Random walks in random hypergeometric environment ⋮ Counting the zeros of an elephant random walk ⋮ Limit theorem for sub-ballistic random walks in Dirichlet environment in dimension \(d \geq 3\) ⋮ Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment ⋮ Some recent advances in random walks and random environments ⋮ Random Dirichlet environment viewed from the particle in dimension \(d\geq 3\) ⋮ Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\) ⋮ Ellipticity criteria for ballistic behavior of random walks in random environment ⋮ Localization for linearly edge reinforced random walks ⋮ Random walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthday ⋮ Random walk in a stratified independent random environment ⋮ Local trapping for elliptic random walks in random environments in \(\mathbb {Z}^d\) ⋮ Asymptotic direction of random walks in Dirichlet environment
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Max-Flow Min-Cut theorem for countable networks
- Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment
- Process-level quenched large deviations for random walk in random environment
- Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\)
- Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three
- The quenched invariance principle for random walks in random environments admitting a bounded cycle representation
- Generalized random walk in a random environment
- Explicit stationary distributions for compositions of random functions and products of random matrices
- Random walks in asymmetric random environments
- Almost sure functional central limit theorem for ballistic random walk in random environment
- Limit laws for transient random walks in random environment on \(\mathbb Z\)
- Random walks in a Dirichlet environment
- Multiscale analysis of exit distributions for random walks in random environments
- A survey of random processes with reinforcement
- Recurrence of edge-reinforced random walk on a two-dimensional graph
- Integrability of exit times and ballisticity for random walks in Dirichlet environment
- Phase transition in reinforced random walk and RWRE on trees
- Weak convergence of a random walk in a random environment
- Edge oriented reinforced random walks and RWRE
- Vertex-reinforced random walk on \(\mathbb Z\) has finite range
- Slowdown estimates and central limit theorem for random walks in random environment
- A law of large numbers for random walks in random environment
- Ballistic random walks in random environment at low disorder
- A simple criterion for transience of a reversible Markov chain
- Vertex-reinforced random walk on \(\mathbb Z\) eventually gets stuck on five points.
- A probabilistic representation of constants in Kesten's renewal theorem
- An invariance principle for isotropic diffusions in random environment
- Bayesian analysis for reversible Markov chains
- Markov chains in a Dirichlet environment and hypergeometric integrals
- Probability on Trees and Networks
- Large deviations for random walks in a random environment
This page was built for publication: Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\)
