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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 paper is devoted to new methods of p-adic and ultrametric analysis and their
applications in physics and molecular biology. Although the basic definitions are given in the …

In this work we initiate the study of the correspondence between p-adic statistical field
theories (SFTs) and neural networks (NNs). In general quantum field theories over a p-adic …

arXiv:math-ph/0303045v2 21 Sep 2003 Page 1 arXiv:math-ph/0303045v2 21 Sep 2003 p–Adic
pseudodifferential operators and p–adic wavelets SVKozyrev November 10, 2018 Abstract …

We consider the formulation and some elaboration of p-adic and adelic quantum cosmology.
The adelic generalization of the Hartle–Hawking proposal does not work in models with …

We construct a family of quantum scalar fields over ap-adic spacetime which satisfy p-adic
analogues of the Gårding–Wightman axioms. Most of the axioms can be formulated in the …

In this article we construct a large class of interacting Euclidean quantum field theories, over
a p-adic space time, by using white noise calculus. We introduce p-adic versions of the …

Feynman's path integral in adelic quantum mechanics is considered. The propagator for one-
dimensional adelic systems with quadratic Lagrangians is analytically evaluated. Obtained …

We construct in a rigorous mathematical way interacting quantum field theories on ap-adic
spacetime. The main result is the construction of a measure on a function space which …