English

Diffusive Decay of the Environment Viewed by the Particle

Probability 2015-03-04 v2

Abstract

We prove an optimal diffusive decay of the environment viewed by the particle in random walk among random independent conductances, with, as a main assumption, finite second moment of the conductance. Our proof, using the analytic approach of Gloria, Neukamm and Otto, is very short and elementary.

Keywords

Cite

@article{arxiv.1412.6313,
  title  = {Diffusive Decay of the Environment Viewed by the Particle},
  author = {Paul de Buyer and Jean-Christophe Mourrat},
  journal= {arXiv preprint arXiv:1412.6313},
  year   = {2015}
}

Comments

13 pages

R2 v1 2026-06-22T07:37:55.252Z