Spectral analysis of Sinai's walk for small eigenvalues

DOI10.1214/009117907000000178zbMath1154.60078arXivmath/0509385OpenAlexW3103233742MaRDI QIDQ2468426

Anton Bovier, Alessandra Faggionato

Publication date: 22 January 2008

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509385

zbMATH Keywords

disordered systemsspectral propertiesrandom dynamicsageingtrap models

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)

Related Items (9)

Metastable states, quasi-stationary distributions and soft measures ⋮ The killed Brox diffusion ⋮ Diffusion at the random matrix hard edge ⋮ Random walks and polymers in the presence of quenched disorder ⋮ A limit result for a system of particles in random environment ⋮ Extreme value statistics from the real space renormalization group: Brownian motion, Bessel processes and continuous time random walks ⋮ Collisions of several walkers in recurrent random environments ⋮ Principal eigenvalue for the random walk among random traps on \({\mathbb{Z}}^{d}\) ⋮ Aspects of large random Markov kernels

Cites Work

• Localization of random walks in one-dimensional random environments
• The limit distribution of Sinai's random walk in random environment
• Limit law for transition probabilities and moderate deviations for Sinai's random walk in random environment
• Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
• Metastability and low lying spectra in reversible Markov chains
• Diffusion in random environment and the renewal theorem
• Spectral characterization of aging: the REM-like trap model
• On limiting distributions for a random walk in a critical one-dimensional random environment
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
• Probability
• Metastability in stochastic dynamics of disordered mean-field models
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral analysis of Sinai's walk for small eigenvalues