Construction of a set of p-adic distributions

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).

9 pages, 2 figures

References in corpus (2)

• On $P$-adic Ising-Vannimenus model on an arbitrary order Cayley tree
• On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree

Cited by in corpus (1)

• $p$-adic boundary laws and Markov chains on trees