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Dr. Sergei Kozyrev
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Academic Career Length
30Years (1997-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications8 February 2009 in p-Adic Numbers, Ultrametric Analysis and Applications
Journal Article
BDBranko Dragovich
Branko DragovichAKAndrei Khrennikov
Andrei KhrennikovSKSergei Kozyrev
Sergei KozyrevIVIgor Volovich
Igor VolovichA brief review of some selected topics in p-adic mathematical physics is presented.
1 April 2017 in p-Adic Numbers, Ultrametric Analysis and Applications
Journal Article
BDBranko Dragovich
Branko Dragovich
Andrei KhrennikovSKSergei Kozyrev
Sergei KozyrevIVIgor Volovich
Igor VolovichEZE. I. Zelenov
E. I. Zelenov
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 phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future prospects.
14 May 2010 in p-Adic Numbers, Ultrametric Analysis and Applications
Journal Article
SKSergei Kozyrev
Sergei KozyrevWe discuss the interbasin kinetics approximation for random walk on a complex (rugged) landscape of energy. In this approximation the random walk is described by the system of kinetic equations corresponding to transitions between the local minima of energy. If we approximate the transition rates between the local minima by the Arrhenius formula then the system of kinetic equations will be hierarchical. We discuss for a generic landscape of energy the anzats of interbasin kinetics which is equivalent to the ultrametric diffusion generated by an ultrametric pseudodifferential operator.
1 August 2005 in Theoretical and Mathematical Physics
Journal Article
AKAndrei Khrennikov
Andrei KhrennikovSKSergei Kozyrev
Sergei Kozyrev1 February 2010 in Doklady Mathematics
Journal Article
SKSergei Kozyrev
Sergei KozyrevAKA. Yu. Khrennikov
A. Yu. Khrennikov
About Me
Prof. Sergei V. Kozyrev is a Professor at the Russian Academy of Sciences, Steklov Mathematical Institute. He completed his MS.c. studies at the Physical Department at Moscow State University (1991), Ph.D. studies in Mathematics at the Steklov Mathematical Institute (1994), a Ph.D. degree in Mathematics at the Steklov Mathematical Institute (1996), and D.Sci. degree at the Steklov Mathematical Institute (2007). He has published more than 50 papers in various journals. His teaching disciplines include ultrametric and p-adic analysis and applications in physics and biology, quantum probability and applications in physics, the stochastic limit of quantum theory. His research interests include p-adic wavelets and spectral analysis of ultrametric pseudodifferential operators.