English

Infinitely divisible distributions over locally compact non-archimedean fields

Probability 2018-12-18 v1 Commutative Algebra

Abstract

The article is devoted to stochastic processes with values in finite-dimensional vector spaces over infinite locally compact fields with non-trivial non-archimedean valuations. Infinitely divisible distributions are investigated. Theorems about their characteristic functionals are proved. Particular cases are demonstrated.

Keywords

Cite

@article{arxiv.0709.3215,
  title  = {Infinitely divisible distributions over locally compact non-archimedean fields},
  author = {S. V. Ludkovsky},
  journal= {arXiv preprint arXiv:0709.3215},
  year   = {2018}
}
R2 v1 2026-06-21T09:19:29.467Z