ASYMPTOTIC BEHAVIOR FOR THE SURVIVING BROWMAN MOTION
ON THE SIERPIŃSKI GASKET WITH POISSON OBSTACLES
Katarzyna Pietruska-Pałuba
Abstract: A Brownian motion on the Sierpiński gasket gets absorbed at the boundary of a
cloud of balls with centers distributed according to an independent Poisson law. The aim of
this paper is to investigate the asymptotic behavior of the probability that up to
time the process in question has traveled far provided it has not been absorbed.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -