Email this article Construction of a set of p-adic distributions
- Authors: Rozikov U.A.1, Tugyonov Z.T.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 193, No 2 (2017)
- Pages: 1694-1702
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171506
- DOI: https://doi.org/10.1134/S0040577917110095
- ID: 171506
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Abstract
Adapting some methods for real-valued Gibbs measures on Cayley trees to the p-adic case, we construct several p-adic distributions on the set ℤp of p-adic integers. In addition, we give conditions under which these p-adic distributions become p-adic measures (i.e., bounded distributions).
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About the authors
U. A. Rozikov
Institute of Mathematics
Author for correspondence.
Email: rozikovu@yandex.ru
Uzbekistan, Tashkent
Z. T. Tugyonov
Institute of Mathematics
Email: rozikovu@yandex.ru
Uzbekistan, Tashkent
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