Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/325876
Type: Artigo
Title: Two-dimensional Random Interlacements And Late Points For Random Walks
Two-dimensional random interlacements and late points for random walks
Author: Francis, Comets
Popov, Serguei
Vachkovskaia, Marina
Abstract: We define the model of two-dimensional random interlacements using simple random walk trajectories conditioned on never hitting the origin, and then obtain some properties of this model. Also, for a random walk on a large torus conditioned on not hitting the origin up to some time proportional to the mean cover time, we show that the law of the vacant set around the origin is close to that of random interlacements at the corresponding level. Thus, this new model provides a way to understand the structure of the set of late points of the covering process from a microscopic point of view.
We define the model of two-dimensional random interlacements using simple random walk trajectories conditioned on never hitting the origin, and then obtain some properties of this model. Also, for a random walk on a large torus conditioned on not hitting the origin up to some time proportional to the mean cover time, we show that the law of the vacant set around the origin is close to that of random interlacements at the corresponding level. Thus, this new model provides a way to understand the structure of the set of late points of the covering process from a microscopic point of view.
Subject: Passeios aleatórios (Matemática)
Funções harmônicas
Poisson, Processo de
Country: Estados Unidos
Editor: Springer
Citation: Communication In Mathematical Physics. Springer, v. 343, p. 129 - 164, 2016.
Rights: fechado
Identifier DOI: 10.1007/s00220-015-2531-5
Address: https://link.springer.com/article/10.1007/s00220-015-2531-5
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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