Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process
Artikel i vetenskaplig tidskrift, 2019

We consider the Brownian interlacements model in Euclidean space,
introduced by Sznitman (2013). We give estimates for the asymptotics of the visibility in the vacant set. We also consider visibility inside the vacant set of the
Brownian excursion process in the unit disc and show that it undergoes a phase
transition regarding visibility to infinity as in Benjamini et al. (2009). Additionally, we determine the critical value and that there is no visibility to infinity at the
critical intensity.

Brownian excursions

Brownian interlacements

Visibility

Författare

Olof Elias

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Johan Tykesson

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Alea

1980-0436 (ISSN)

Vol. 16

Ämneskategorier

Sannolikhetsteori och statistik

DOI

10.30757/ALEA.v16-36

Mer information

Skapat

2019-12-18