Ultrametric pseudodifferential equations and applications /
[Book]
Andrei Yu. Khrennikov, Linnéuniversitetet, Sweden ; Sergei V. Kozyrev, Steklov Institute of Mathematics, Moscow ; W.A. Zúñiga-Galindo, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico.
Encyclopedia of mathematics and its applications ;
v. 168
Includes bibliographical references and index.
p-Adic analysis: essential ideas and results -- Ultrametric geometry: cluster networks and buildings -- p-Adic wavelets -- Ultrametricity in the theory of complex systems -- Some applications of wavelets and integral operators -- p-Adic and ultrametric models in geophysics -- Recent development of the theory of p-Adic dynamical systems -- Parabolic-type equations, Markov processes, and models of complex hierarchical systems -- Stochastic heat equation driven by Gaussian noise -- Sobolev-type spaces and pseudodifferential operators -- Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields -- Heat traces and spectral zeta functions for p-Adic laplacians.
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Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.
Ultrametric pseudodifferential equations and applications.