Advances in Non-Archimedean Analysis and Applications

The p-adic Methodology in STEAM-H

Inbunden, Engelska, 2021

Av W. A. Zúñiga-Galindo, Bourama Toni, W. A. Zuniga-Galindo

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Currently, researchers are actively investigating the following areas: p-adic dynamical systems, p-adic techniques in cryptography, p-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications of ultrametric spaces in data processing, and more.

Produktinformation

Utgivningsdatum2021-12-02
Mått155 x 235 x 24 mm
Vikt670 g
FormatInbunden
SpråkEngelska
SerieSTEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
Antal sidor318
Upplaga21001
FörlagSpringer Nature Switzerland AG
ISBN9783030819750

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Wilson Zúñiga-Galindo is a Research Professor in the Department of Mathematics of the CINVESTAV - Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico. A member of the Colombian and Mexican Academy of Sciences, his research focuses on number theory, algebraic geometry, mathematical physics and non-Archimedean analysis. He has published more than fifty research articles and two books, including “Pseudodifferential Equations Over Non-Archimedean Spaces” (Springer, 2016, ISBN 978-3-319-46737-5).Bourama Toni is graduate of Universite de Montreal, and is presently a full Professor and Chair of the Department of Mathematics at Howard University, Washington DC, USA. He is also a founder and the Editor-in-Chief of the Springer's STEAM-H series. Dr. Toni's research interests are in differential and nonlinear analysis and related topics, including p-adic analysis, game theory and feedback loops analysis, and applications tonaval engineering and biosciences. He has published several books with Springer.

1. Introduction: advancing non-Archimedean mathematics.- 2. The p-adic Theory of Automata Functions.- 3. Chaos in p-adic statistical lattice models: Potts model.- 4. QFT, RG, an all that, for Mathematicians, in eleven pages.- 5. Phase operator on L2(Qp) and the zeroes of Fisher and Riemann.- 6. On non-Archimedean valued fields: a survey of algebraic, topological and metric structures. Analysis and applications.- 7. Non-Archimedean Models of Morphogenesis.- 8. p-adic Wave Equation on finite Graph and T0-spaces.- 9. A Riemann-Roch theorem on network.