Construction of a set of p-adic distributions

U. A. Rozikov; Z. T. Tugyonov

doi:10.1134/S0040577917110095

Construction of a set of p-adic distributions

Mathematical Physics 2018-01-17 v1 math.MP

Authors: U. A. Rozikov , Z. T. Tugyonov

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Abstract

In this paper adapting to $p$ -adic case some methods of real valued Gibbs measures on Cayley trees we construct several $p$ -adic distributions on the set $\mathbb{Z}_p$ of $p$ -adic integers. Moreover, we give conditions under which these $p$ -adic distributions become $p$ -adic measures (i.e. bounded distributions).

Keywords

p-adic distributions p-adic measures Gibbs measures Cayley trees p-adic integers bounded distributions

Cite

@article{arxiv.1703.10275,
  title  = {Construction of a set of p-adic distributions},
  author = {U. A. Rozikov and Z. T. Tugyonov},
  journal= {arXiv preprint arXiv:1703.10275},
  year   = {2018}
}

Comments

9 pages, 2 figures

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