Divergent sums over excursions

K. Bruce Erickson

Stochastic Processes and their Applications, 1994, vol. 54, issue 1, 175-182

Abstract: Criteria for the almost sure divergence or convergence of sums of functions of excursions away from a recurrent point in the state space of a Markov process are proved. These are applied to the excursions from 0 of reflecting diffusions; in particular, reflecting Brownian motion, to derive some interesting sample path properties for these processes.

Keywords: Excursion; formula; Local; time; Diffusion; Sample; path; properties (search for similar items in EconPapers)
Date: 1994
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