A random walk on p-adics--the generator and its spectrum

Sergio Albeverio and Witold Karwowski

Stochastic Processes and their Applications, 1994, vol. 53, issue 1, 1-22

Abstract: We construct a random walk with continuous time taking values in the p-adic numbers. We compute its transition semigroup and infinitesimal generator and exhibits its spectrum. We also give the associated Dirichlet form, which is of the jump type.

Keywords: Random; walk; P-adics; Generator; Transition; semigroup; Infinitesimal; generator; Dirichlet; form (search for similar items in EconPapers)
Date: 1994
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Citations: View citations in EconPapers (15)

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