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 …

This survey article aims to provide an introduction to the theory of local zeta functions in the
p-adic framework for beginners. We also give an extensive guide to the current literature on …

Understanding how deep learning architectures work is a central scientific problem.
Recently, a correspondence between neural networks (NNs) and Euclidean quantum field …

The p-adic cellular neural networks (CNNs) are mathematical generalizations of the neural
networks introduced by Chua and Yang in the 80s. In this work we present two new types of …

We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-
Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we use …

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 …

A bstract In this article we discuss the limit p approaches to one of tree-level p-adic open
string amplitudes and its connections with the topological zeta functions. There is empirical …

A bstract In this article, we establish in a rigorous mathematical way that Koba-Nielsen
amplitudes defined on any local field of characteristic zero are bona fide integrals that admit …

We present a new non-Archimedean realization of the Fock representation of the q-oscillator
algebras where the creation and annihilation operators act on complex-valued functions …

This work aims to study the interplay between the Wilson–Cowan model and connection
matrices. These matrices describe cortical neural wiring, while Wilson–Cowan equations …