Quenched invariance principle for random walk in time-dependent balanced\n random environment
Jean‐Dominique Deuschel, Xiaoqin Guo, Alejandro F. Ramı́rez
Abstract
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Jean‐Dominique Deuschel, Xiaoqin Guo, Alejandro F. Ramı́rez
Abstract
Open-access reader
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
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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