{"product_id":"ultrametric-pseudodifferential-equations-and-applications-hardback-9781107188822","title":"Ultrametric Pseudodifferential Equations and Applications (Hardback) 9781107188822","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eUltrametric Pseudodifferential Equations and Applications\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eProvides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAndrei Yu. Khrennikov (Author), Sergei V. Kozyrev (Author), W. A. Zúñiga-Galindo (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107188822, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 26 April 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e250 pages, 5 b\/w illus.\u003cbr\u003e24.1 x 16 x 1.7 cm, 0.51 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'[As a whole] … the book o ffers … extremely rich material, providing a complete view on the recent [research] in p-adic analysis.' Luigi Rodino, zbMATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eStarting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the fascinating field of ultrametric pseudodifferential equations, including their emerging applications and currently unsolved problems.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. p-adic analysis: essential ideas and results\u003cbr\u003e 2. Ultrametric geometry: cluster networks and buildings\u003cbr\u003e 3. p-adic wavelets\u003cbr\u003e 4. Ultrametricity in the theory of complex systems\u003cbr\u003e 5. Some applications of wavelets and integral operators\u003cbr\u003e 6. p-adic and ultrametric models in geophysics\u003cbr\u003e 7. Recent development of the theory of p-adic dynamical systems\u003cbr\u003e 8. Parabolic-type equations, Markov processes, and models of complex hierarchic systems\u003cbr\u003e 9. Stochastic heat equation driven by Gaussian noise\u003cbr\u003e 10. Sobolev-type spaces and pseudodifferential operators\u003cbr\u003e 11. Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields\u003cbr\u003e 12. Heat traces and spectral zeta functions for p-adic laplacians\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geophysics [\u003ca title=\"See our other books on Geophysics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geophysics%20%5BPHVG%5D%22\"\u003ePHVG\u003c\/a\u003e], Quantum physics [\u003ca title=\"See our other books on Quantum physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Quantum%20physics%20%5Bquantum%20mechanics%20\u0026amp;%20quantum%20field%20theory%5D%20%5BPHQ%5D%22\"\u003equantum mechanics \u0026amp; quantum field theory PHQ\u003c\/a\u003e], Differential calculus \u0026amp; equations [\u003ca title=\"See our other books on Differential calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20calculus%20\u0026amp;%20equations%20%5BPBKJ%5D%22\"\u003ePBKJ\u003c\/a\u003e], Functional analysis \u0026amp; transforms [\u003ca title=\"See our other books on Functional analysis \u0026amp; transforms\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Functional%20analysis%20\u0026amp;%20transforms%20%5BPBKF%5D%22\"\u003ePBKF\u003c\/a\u003e], Number theory [\u003ca title=\"See our other books on Number theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Number%20theory%20%5BPBH%5D%22\"\u003ePBH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265668305176,"sku":"9781107188822","price":88.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107188822i.jpg?v=1692025498","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/ultrametric-pseudodifferential-equations-and-applications-hardback-9781107188822","provider":"Freshly Printed Books","version":"1.0","type":"link"}