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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1999 Volume 119, Number 2, Pages 249–263 (Mi tmf737)

This article is cited in 10 papers

Stochastic $p$-adic equations of mathematical physics

A. Kh. Bikulov

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Abstract: Properties and probability characteristics of solutions of the stochastic $p$-adic equations of mathematical physics containing the Vladimirov pseudodifferential operators and their generalizations are discussed. The $p$-adic analogues of the Brownian sheet and the Levy Brownian motion are constructed.

Received: 09.02.1998
Revised: 28.12.1998

DOI: 10.4213/tmf737


 English version:
Theoretical and Mathematical Physics, 1999, 119:2, 594–604

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