Symmetric random walks in random environments
Copyright policy )Symmetric random walks in random environments
We consider a random walk on thed-dimensional lattice ℤ d where the transition probabilitiesp(x,y) are symmetric,p(x,y)=p(y,x), different from zero only ify−x belongs to a finite symmetric set including the origin and are random. We prove the convergence of the finite-dimensional probability distributions of normalized random paths to the finite-dimensional probability distributions of a Wiener process and find our an explicit expression for the diffusion matrix.
- Institute of Molecular Genetics Russian Federation
- Russian Academy of Sciences Russian Federation
- Department of Biological Sciences Russian Federation
- Landau Institute for Theoretical Physics Russian Federation
Sums of independent random variables; random walks, 60K35, random environment, 60J15, 60F05, Interacting random processes; statistical mechanics type models; percolation theory, Brownian motion, 82A70, Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses), perturbation theory
Sums of independent random variables; random walks, 60K35, random environment, 60J15, 60F05, Interacting random processes; statistical mechanics type models; percolation theory, Brownian motion, 82A70, Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses), perturbation theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).41 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!