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Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …

This is a brief review on modeling genetic codes with the aid of 2-adic dynamical systems. In
this model amino acids are encoded by the attractors of such dynamical systems. Each …

In the present paper, we study a new kind of p-adic measures for q+ 1-state Potts model,
called p-adic quasi Gibbs measure. For such a model, we derive a recursive relations with …

Within the framework of quantum mechanics over a quadratic extension of the non-
Archimedean field of p-adic numbers, we provide a definition of a quantum state relying on a …

The paper presents new criteria for bijectivity/transitivity of T-functions and a fast knapsack-
like algorithm of evaluation of a T-function. Our approach is based on non-Archimedean …

In this paper, it is rigorously proven that since observational data (ie, numerical values of
physical quantities) are rational numbers only due to inevitably nonzero measurements …

Since we study the conditions under which a locally compatible function f: p→ p preserves
the normalized Haar measure μp or is ergodic with respect to μp, in what follows, we use the …

A polynomial of degree⩾ 2 with coefficients in the ring of p-adic numbers Zp is studied as a
dynamical system on Zp. It is proved that the dynamical behavior of such a system is totally …

In our previous investigations, we have developed the renormalization group method to p-
adic models on Cayley trees, this method is closely related to the investigation of dynamical …