Statistical simulation over $p$-adic number fields

This paper contains the base of the statistical simulation over $p$-adic number fields. A mathematical simulation over nonreal number fields (at first over $p$-adic number fields) is intresting for applications to a non-Archimedean quantum mechanics and field theory. There are mathematical models and results of computer experiments showing that there isn't the statistical stabilization in the real number field and there is the statistical stabilization in the $p$-adic number field.