On the extension of the von mises frequency approach and Kolmogorov axiomatic approach to the $p$-adic probability theory

The paper considers probabilistic models in which relative frequencies are stabilized in $p$-adic metric. The analog of frequency theory of von Mises probabilities is constructed for such models. As in usual probability theory, the properties of $p$-adic frequency probability are used to formulate the theory on an axiomatic level (the analog of the Kolmogorov axiomatic).