Artículos de revistas
Random walks with unbounded jumps among random conductances I: Uniform quenched CLT
Registro en:
Electronic Journal Of Probability. Univ Washington, Dept Mathematics, v. 17, n. 1, n. 22, 2012.
1083-6489
WOS:000309960300001
10.1214/EJP.v17-1826
Autor
Gallesco, C
Popov, S
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. 17 1 22 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAPESP [2009/51139-3, 2009/52379-8] CNPq [300886/2008-0, 472431/2009-9]