Advances in Non-Archimedean Analysis and Applications

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.