The principal objective of this article is a brief overview of the main parts of p-adic
mathematics, which have already had valuable applications and may have a significant …

In this article, we consider p-adic modeling of the standard genetic code and the vertebrate
mitochondrial one. To this end, we use 5-adic and 2-adic distance as a mathematical tool to …

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory
of finite set partitions and to the enumeration of cycle decompositions of permutations. The …

In this work we explicitly show that the perturbative unitarity of analytic infinite derivative
scalar field theories can be achieved using a modified prescription for computing scattering …

A bstract This paper is devoted to a simple nonlocal de Sitter gravity model and its exact
vacuum cosmological solutions. In the Einstein-Hilbert action with Λ term, we introduce …

Following Smolin, we proceed to unification of general relativity and quantum theory by
operating solely with events, ie, without appealing to physical systems and space-time. The …

Abstract We consider long‐range Bernoulli bond percolation on the dd‐dimensional
hierarchical lattice in which each pair of points xx and yy are connected by an edge with …

A proposal for a fundamental theory is described in which classical and quantum physics as
a representation of the universe as a gigantic dendrogram are unified. The latter is the …

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 …

A bstract The p-adic AdS/CFT correspondence relates a CFT living on the p-adic numbers to
a system living on the Bruhat-Tits tree. Modifying our earlier proposal [1] for a tensor network …