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|Type:||Artigo de periódico|
|Title:||Random walks with unbounded jumps among random conductances I: Uniform quenched CLT|
|Abstract:||We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditions (uniform ellipticity and polynomial bounds on the tails of the jumps) we prove a quenched uniform invariance principle for the random walk. This means that the rescaled trajectory of length n is (in a certain sense) close enough to the Brownian motion, uniformly with respect to the choice of the starting location in an interval of length O (root n) around the origin.|
|Editor:||Univ Washington, Dept Mathematics|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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