Nondegenerate ultrametric diffusion

DOI10.1063/1.1858447zbMath1110.60070arXivcond-mat/0403440OpenAlexW2003221424MaRDI QIDQ3438479

V. A. Avetisov, Vladimir Al. Osipov, Sergei V. Kozyrev

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0403440

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Transport processes in time-dependent statistical mechanics (82C70) Integral operators (47G10) Transition functions, generators and resolvents (60J35)

Related Items (10)

\(p\)-adic mathematical physics: the first 30 years ⋮ \(p\)-adic wavelets and their applications ⋮ Spectral problem of block-rectangular hierarchical matrices ⋮ An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ \(p\)-adic Haar multiresolution analysis and pseudo-differential operators ⋮ \(p\)-adic multiwavelet sets ⋮ Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations ⋮ Hausdorff dimension and hierarchical system dynamics ⋮ Walsh and wavelet methods for differential equations on the Cantor group

Cites Work

• \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
• 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
• Hierarchical diffusion, aging and multifractality
• Wavelet theory as $ p$-adic spectral analysis

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