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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 17, Fasc. 2,
pages 321 - 338
 

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 t the process in question has traveled far provided it has not been absorbed.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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