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math.DS2022★ 1 cited
Group structure of the -adic ball and dynamical system of isometry on a sphere
I. A. Sattarov
In this paper the group structure of the -adic ball and sphere are studied. The dynamical system of isometry defined on invariant sphere is investigated. We define the binary op…
math.FA2022
Periodic points of a -adic operator and their -adic Gibbs measures
U. A. Rozikov, I. A. Sattarov, A. M. Tukhtabaev
In this paper we investigate generalized Gibbs measure (GGM) for -adic Hard-Core(HC) model with a countable set of spin values on a Cayley tree of order . This model is…