Random walks with unbounded jumps among random conductances II: Conditional quenched CLT

Gallesco, Christophe; Popov, Serguei

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Random walks with unbounded jumps among random conductances II: Conditional quenched CLT

Author(s):	Gallesco, Christophe ^[1] ; Popov, Serguei ^[1] Total Authors: 2
Affiliation:	^[1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, Dept Stat, BR-13083859 Campinas, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS; v. 10, n. 1, p. 253+, 2013.
Web of Science Citations:	2
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 conch lions (Uniform ellipticity and polynomial bonnets on the tails of the jumps) we prove a quenched conditional invariance principle for the random walk, under the condition that it remains positive until time n. As a corollary of this result, we study the effect of conditioning the random walk to exceed level n before returning to 0 as n --> infinity. (AU)

FAPESP's process:	09/52379-8 - Stochastic modeling of interacting systems
Grantee:	Fabio Prates Machado
Support Opportunities:	Research Projects - Thematic Grants

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