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Type: Artigo
Title: Two-dimensional brownian random interlacements
Author: Comets F.
Popov S.
Abstract: We introduce the model of two-dimensional continuous random interlacements, which is constructed using the Brownian trajectories conditioned on not hitting a fixed set (usually, a disk). This model yields the local picture of Wiener sausage on the torus around a late point. As such, it can be seen as a continuous analogue of discrete two-dimensional random interlacements (Comets et al. Commun. Math. Phys. 343, 129–164, 2016). At the same time, one can view it as (restricted) Brownian loops through infinity. We establish a number of results analogous to these of Comets and Popov (Ann. Probab. 45, 4752–4785, 2017), Comets et al. (Commun. Math. Phys. 343, 129–164, 2016), as well as the results specific to the continuous case
Subject: Movimento Browniano quântico
Country: Países Baixos
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s11118-019-09786-8
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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