Almost sure behaviour of the perturbed Brownian motion on the Sierpinski gasket

Katarzyna Pietruska-Paluba

Stochastic Processes and their Applications, 2000, vol. 85, issue 1, 1-17

Abstract: In this paper we investigate the almost sure ('quenched') asymptotics for a Brownian traveller, moving on the Sierpinski gasket with Poisson-type attracting potential interaction. The quenched behaviour is different from the 'annealed' one (averaged with respect to the random potential).

Keywords: Brownian; motion; Sierpinski; gasket; Poisson; potential (search for similar items in EconPapers)
Date: 2000
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