Infinitely divisible distributions over locally compact non-archimedean fields |
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Authors: | S. V. Ludkovsky |
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Affiliation: | 1. Moscow State Institute of Radio-Engineering, Electronics, and Automation, Moscow, Russia
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Abstract: | This paper is devoted to stochastic processes with values in finite-dimensional vector spaces over infinite, locally compact fields of zero and positive characteristics with nontrivial non-Archimedean norms. Infinitely divisible distributions are studied. Theorems about their characteristic functionals are proved. Particular cases are demonstrated as applications to non-Archimedean analogs of Gaussian and Poisson processes and their generalizations. |
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