$p$-adic Markov process and the problem of the first return over balls

Abstract

We consider the pseudodifferential operator defined as 𝐻𝛼𝜑 and study the Markov process associated to this operator. We also study the first passage time problem associated to 𝐻𝛼 for 𝑟<0.

Publication
Ukrains’kyi Matematychnyi Zhurnal, 73(7), 902-912. doi:10.1007/s11253-021-01976-1
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Oscar F. Casas
Associate Professor

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