Diffusive decay of the environment viewed by the particle. (English) Zbl 1321.60216

de Buyer, Paul; Mourrat, Jean-Christophe

Electron. Commun. Probab. 20, Paper No. 23, 12 p. (2015).

Summary: We prove an optimal diffusive decay of the environment viewed by the particle in a random walk among random independent conductances, with, as a main assumption, finite second moment of the conductance. Our proof, using the analytic approach of A. Gloria et al. [Invent. Math. 199, No. 2, 455–515 (2015; Zbl 1314.39020)], is very short and elementary.

MSC:

60K37	Processes in random environments
60G50	Sums of independent random variables; random walks
60J27	Continuous-time Markov processes on discrete state spaces
76M50	Homogenization applied to problems in fluid mechanics

Keywords:

random walks; random environments; algebraic convergence; equilibrium; homogenization; functional inequalities

Citations:

Zbl 1314.39020