Scaling limit of the random walk among random traps on \(\mathbb Z^{d}\)

DOI10.1214/10-AIHP387zbMath1262.60098arXiv1001.2459OpenAlexW3101879727MaRDI QIDQ720744

Jean-Christophe Mourrat

Publication date: 11 October 2011

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/1001.2459

zbMATH Keywords

stable processrandom walk in random environmenttrap modelfractional kinetics

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37) Stable stochastic processes (60G52) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Randomly trapped random walks ⋮ Long-range trap models on \(\mathbb Z\) and quasistable processes ⋮ Sub-Gaussian bound for the one-dimensional Bouchaud trap model ⋮ Scaling limits for sub-ballistic biased random walks in random conductances ⋮ Non-Gaussian fluctuations of randomly trapped random walks ⋮ Aging of the Metropolis dynamics on the random energy model ⋮ Randomly trapped random walks on \(\mathbb{Z}^d\) ⋮ Aging of asymmetric dynamics on the random energy model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bouchaud's model exhibits two different aging regimes in dimension one
• Variance decay for functionals of the environment viewed by the particle
• An invariance principle for reversible Markov processes. Applications to random motions in random environments
• Aging in two-dimensional Bouchaud's model
• K-processes, scaling limit and aging for the trap model in the complete graph
• Upper bounds for symmetric Markov transition functions
• Chaos, fractional kinetics, and anomalous transport
• Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension
• Invariance principle for the random conductance model with unbounded conductances
• Scaling limit for trap models on \(\mathbb Z^d\)
• On the static and dynamic points of view for certain random walks in random environment
• Stochastic-Process Limits
• Probability on Trees and Networks
• Continuity of Solutions of Parabolic and Elliptic Equations
• Models of traps and glass phenomenology
• Random Walks on Infinite Graphs and Groups
• On the dynamics of trap models in ℤ ^d
• Convergence Rates in the Law of Large Numbers

This page was built for publication: Scaling limit of the random walk among random traps on \(\mathbb Z^{d}\)