| dc.creator | Gantert, N | |
| dc.creator | Muller, S | |
| dc.creator | Popov, S | |
| dc.creator | Vachkovskaia, M | |
| dc.date | 2012 | |
| dc.date | APR | |
| dc.date | 2014-07-30T14:19:24Z | |
| dc.date | 2015-11-26T18:05:59Z | |
| dc.date | 2014-07-30T14:19:24Z | |
| dc.date | 2015-11-26T18:05:59Z | |
| dc.date.accessioned | 2018-03-29T00:48:12Z | |
| dc.date.available | 2018-03-29T00:48:12Z | |
| dc.identifier | Stochastic Processes And Their Applications. Elsevier Science Bv, v. 122, n. 4, n. 1652, n. 1671, 2012. | |
| dc.identifier | 0304-4149 | |
| dc.identifier | WOS:000304132800020 | |
| dc.identifier | 10.1016/j.spa.2012.01.004 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/58872 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/58872 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1293254 | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description | We consider the random conductance model where the underlying graph is an infinite supercritical Galton-Watson tree, and the conductances are independent but their distribution may depend on the degree of the incident vertices. We prove that if the mean conductance is finite, there is a deterministic, strictly positive speed nu such that lim(n ->infinity) vertical bar X-n/n vertical bar = nu a.s. (here, vertical bar.vertical bar stands for the distance from the root). We give a formula for nu in terms of the laws of certain effective conductances and show that if the conductances share the same expected value, the speed is not larger than the speed of a simple random walk on Galton-Watson trees. The proof relies on finding a reversible measure for the environment observed by the particle. (c) 2012 Elsevier B.V. All rights reserved. | |
| dc.description | 122 | |
| dc.description | 4 | |
| dc.description | 1652 | |
| dc.description | 1671 | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description | FAPESP [2009/08665-6, 2010/16085-7, 2009/52379-8] | |
| dc.description | CNPq [300328/2005-2, 304561/2006-1] | |
| dc.language | en | |
| dc.publisher | Elsevier Science Bv | |
| dc.publisher | Amsterdam | |
| dc.publisher | Holanda | |
| dc.relation | Stochastic Processes And Their Applications | |
| dc.relation | Stoch. Process. Their Appl. | |
| dc.rights | fechado | |
| dc.rights | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dc.source | Web of Science | |
| dc.subject | Rate of escape | |
| dc.subject | Environment observed by the particle | |
| dc.subject | Effective conductance | |
| dc.subject | Reversibility | |
| dc.subject | Biased Random-walks | |
| dc.subject | Anchored Expansion | |
| dc.subject | Percolation | |
| dc.subject | Speed | |
| dc.title | Random walks on Galton-Watson trees with random conductances | |
| dc.type | Artículos de revistas | |
