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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.)

A Conditional Quenched CLT for Random Walks Among Random Conductances on Z(d)

Gallesco, C. [1] ; Gantert, N. [2] ; Popov, S. [1] ; Vachkovskaia, M. [1]
Total Authors: 4
[1] Univ Estadual Campinas, Inst Math Stat & Sci Computat, Dept Stat, BR-13083859 Campinas, SP - Brazil
[2] Tech Univ Munich, Fak Math, D-85748 Garching - Germany
Total Affiliations: 2
Document type: Journal article
Source: Markov Processes and Related Fields; v. 20, n. 2, p. 287-328, 2014.
Web of Science Citations: 0

Consider a random walk among random conductances on Z(d) with d >= 2. We study the quenched limit law under the usual diffusive scaling of the random walk conditioned to have its first coordinate positive. We show that the conditional limit law is a linear transformation of the product law of a Brownian meander and a (d - 1)-dimensional Brownian motion. (AU)

FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support type: Research Projects - Thematic Grants
FAPESP's process: 10/16085-7 - Random walks in random environment
Grantee:Serguei Popov
Support type: Research Grants - Visiting Researcher Grant - International