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Stochastic Integrals and Stochastic Differential Equations over the Field of p-Adic Numbers
Authors:Kochubei  Anatoly N.
Abstract:
We construct, for various classes of p-adic-valued functions, stochastic integrals with respect to the Poisson random measure. This leads to the construction of Markov processes over the field of p-adic numbers by means of stochastic differential equations.
Keywords:p-Adic number  stochastic integral  stochastic differential equation  Markov process.
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