165 citations · 276 across the 12 of their papers we have counts for
12 papers
p-Adic numbers in bioinformatics: from genetic code to PAM-matrix
A. Yu. Khrennikov, S. V. Kozyrev
In this paper we denonstrate that the use of the system of 2-adic numbers provides a new insight to some problems of genetics, in particular, generacy of the genetic code and the s…
Frames of p-adic wavelets and orbits of the affine group
S. Albeverio, S. V. Kozyrev
The general construction of frames of p-adic wavelets is described. We consider the orbit of a mean zero generic locally constant function with compact support (mean zero test func…
Ultrametric random field
A. Yu. Khrennikov, S. V. Kozyrev
Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed wit…
Localization for free ultrametric quantum particle
A. Yu. Khrennikov, S. V. Kozyrev
Free evolution for quantum particle in general ultrametric space is considered. We find that if mean zero wave packet is localized in some ball in the ultrametric space then its ev…
Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
A. Yu. Khrennikov, S. V. Kozyrev
A family of orthonormal bases, the ultrametric wavelet bases, is introduced in quadratically integrable complex valued functions spaces for a wide family of ultrametric spaces. A g…
Ultrametric pseudodifferential operators and wavelets for the case of non homogeneous measure
S. V. Kozyrev
A family of orthonormal bases of ultrametric wavelets in the space of quadratically integrable with respect to arbitrary measure functions on general (up to some topological restri…