Lebesgue approximation of (2,β)-superprocesses
Speaker: Xin He
Date: Thu, Jun 21, 2012
Location: PIMS, University of British Columbia
Conference: PIMS-MPrime Summer School in Probability
Subject: Mathematics, Probability
Class: Scientific
Date: Thu, Jun 21, 2012
Location: PIMS, University of British Columbia
Conference: PIMS-MPrime Summer School in Probability
Subject: Mathematics, Probability
Class: Scientific
Abstract:
Let ξ=(ξt) be a locally finite (2,β)-superprocess in \RRd with β<1 and d>2/β. Then for any fixed t>0, the random measure ξt can be a.s. approximated by suitably normalized restrictions of Lebesgue measure to the ε-neighborhoods of suppξt. This extends the Lebesgue approximation of Dawson-Watanabe superprocesses. Our proof is based on a truncation of (α,β)-superprocesses and uses bounds and asymptotics of hitting probabilities.