An evolutionary interpretation of the \(p\)-adic ultrametric diffusion equation

DOI10.1134/S1064562407030325zbMath1162.35074MaRDI QIDQ2377494

V. A. Avetisov, Yu. N. Zhuravlev

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorsfractional derivative\(p\)-adic analysis

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (9)

Ultrametric diffusion, rugged energy landscapes and transition networks ⋮ Wavelet analysis on symbolic sequences and two-fold de Bruijn sequences ⋮ Ультраметрическая диффузия в сильном центрально-симметричном поле ⋮ Eigen's paradox and the quasispecies model in a non-Archimedean framework ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Non-Archimedean replicator dynamics and Eigen’s paradox ⋮ Ultrametrics in the genetic code and the genome ⋮ On solution properties of some types of \(p\)-adic kinetic equations of the form reaction-diffusion ⋮ On \(p\)-adic mathematical physics

Cites Work

• Error threshold in simple landscapes
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• p-adic description of characteristic relaxation in complex systems
• Application ofp-adic analysis to models of breaking of replica symmetry
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