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

Visibility

Brownian interlacements

Författare

Olof Elias

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Johan Tykesson

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Göteborgs universitet

Alea

1980-0436 (ISSN)

Vol. 16 2 1007-1028

Ämneskategorier

Sannolikhetsteori och statistik

DOI

10.30757/ALEA.v16-36

Mer information

Senast uppdaterat

2020-01-28