Application of \(p\)-adic analysis methods in describing Markov processes on ultrametric spaces isometrically embedded into \(\mathbb{Q}_p\)

DOI10.1134/S2070046615020041zbMath1323.60098arXiv1504.03629OpenAlexW1439956155MaRDI QIDQ498712

Alexander P. Zubarev, Albert Kh. Bikulov

Publication date: 29 September 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.03629

zbMATH Keywords

isometric embeddingpseudo-differential operatorultrametric spacesKolmogorov-Feller equation\(p\)-adic analysisstationary Markov processes

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Continuous-time Markov processes on general state spaces (60J25) Pseudodifferential operators as generalizations of partial differential operators (35S05) Non-Archimedean analysis (26E30)

Related Items (4)

Model of \(p\)-adic random walk in a potential ⋮ Complete systems of eigenfunctions of the Vladimirov operator in \(L^2(B_r)\) and \(L^2(\mathbb{Q}_p)\) ⋮ New bases in the space of square integrable functions on the field of \(p\)-adic numbers and their applications ⋮ Hörmander classes of pseudo-differential operators over the compact group of \(p\)-adic integers

Cites Work

• Unnamed Item
• Unnamed Item
• Ultrametric random walk and dynamics of protein molecules
• On \(p\)-adic mathematical physics
• Some aspects of \(m\)-adic analysis and its applications to \(m\)-adic stochastic processes
• Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
• First passage time distribution and the number of returns for ultrametric random walks
• Generalized functions over the field ofp-adic numbers
• 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
• О математическом моделировании молекулярных «нано-машин»
• Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
• Introduction to Econophysics
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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