300 citations · 888 across the 48 of their papers we have counts for
15 papers · 1 filter
A number theoretical observation about the degeneracy of the genetic code
Andrei Khrennikov, Marcus Nilsson
We discuss the similarity of the degeneration structure of the genetic code with a pure number theoretic -- ``divisors code.'' The most interesting thing about our observation is n…
Linear Fractional p-Adic and Adelic Dynamical Systems
Branko Dragovich, Andrei Khrennikov, Dusan Mihajlovic
Using an adelic approach we simultaneously consider real and p-adic aspects of dynamical systems whose states are mapped by linear fractional transformations isomorphic to some sub…
-Adic multidimensional wavelets and their application to -adic pseudo-differential operators
A. Yu. Khrennikov, V. M. Shelkovich
In this paper we study some problems related with the theory of multidimensional -adic wavelets in connection with the theory of multidimensional -adic pseudo-differential op…
Gene expression from polynomial dynamics in the 2-adic information space
Andrei Khrennikov
We perform geometrization of genetics by representing genetic information by points of the 4-adic {\it information space.} By well known theorem of number theory this space can als…
A formula of total probability with interference term and the Hilbert space representation of the contextual Kolmogorovian model
Andrei Khrennikov
We compare the classical Kolmogorov and quantum probability models. We show that the gap between these model is not so huge as it was commonly believed. The main structures of quan…
On some detailed examples of quantum like structures containing quantum potential states in the sphere of biological dynamics
Elio Conte, Gianpaolo Pierri, Leonardo Mendolicchio +2
In the first part of the present paper we give an analysis of the ontic nature of quantum states to be intended as potentialities and of the central role of spin to be considered a…