2015arXiv (Cornell University)Open access

Quenched invariance principle for random walk in time-dependent balanced\n random environment

Jean‐Dominique Deuschel, Xiaoqin Guo, Alejandro F. Ramı́rez

Open full text 1 citations

Abstract

We prove a quenched central limit theorem for balanced random walks in time\ndependent ergodic random environments which is not necessarily\nnearest-neigbhor. We assume that the environment satisfies appropriate\nergodicity and ellipticity conditions. The proof is based on the use of a\nmaximum principle for parabolic difference operators.\n

Open-access reader

About this research paper

What this paper is about

We prove a quenched central limit theorem for balanced random walks in time\ndependent ergodic random environments which is not necessarily\nnearest-neigbhor. We assume that the environment satisfies appropriate\nergodicity and ellipticity conditions. The proof is based on the use of a\nmaximum principle for parabolic difference operators.\n

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We prove a quenched central limit theorem for balanced random walks in time\ndependent ergodic random environments which is not necessarily\nnearest-neigbhor. We assume that the environment satisfies appropriate\nergodicity and ellipticity conditions. The proof is based on the use of a\nmaximum principle for parabolic difference operators.\n

Key concepts: Ergodicity, Ergodic theory, Invariance principle, Random walk, Mathematics, Central limit theorem, Limit (mathematics), Continuous-time random walk

Related papers

Back to paper searchBrowse research topicsOriginal source
Quenched invariance principle for random walk in time-dependent balanced\n random environment — Research Paper | ScholarLens