Ultrametric Pseudodifferential Equations and Applications

Andrei Yu. Khrennikov · Sergei V. Kozyrev · W. A. Zúñiga-Galindo

apr. 2018 · Encyclopedia of Mathematics and its Applications Bok 168 · Cambridge University Press

E-bok

256

Sidor

Betyg och recensioner verifieras inte Läs mer

Om den här e-boken

Starting 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.

Om författaren

Andrei Y. Khrennikov is Professor of Mathematics at Linnaeus University, Sweden and Director of the multidisciplinary research group International Center for Mathematical Modeling (ICMM). His research interests include the foundations of quantum physics and quantum information, the foundations of probability (in particular, studies on negative probabilities), cognitive modeling, dynamical systems, p-adic and ultrametric models in psychology, physics, and geology. He is the author of 20 monographs and around 400 papers in mathematics, physics, biology, cognitive science, economics, and finance.

Sergei V. Kozyrev is a Leading Scientific Researcher in the Department of Mathematical Physics at the Steklov Mathematical Institute, Moscow. His research interests include ultrametric analysis and applications in physics and biology, stochastic limit of quantum dynamics and quantum dissipative phenomena, and mathematical models in biology.

Betygsätt e-boken

Berätta vad du tycker.

Läsinformation

Smartphones och surfplattor

Installera appen Google Play Böcker för Android och iPad/iPhone. Appen synkroniseras automatiskt med ditt konto så att du kan läsa online eller offline var du än befinner dig.

Laptops och stationära datorer

Du kan lyssna på ljudböcker som du har köpt på Google Play via webbläsaren på datorn.

Läsplattor och andra enheter

Om du vill läsa boken på enheter med e-bläck, till exempel Kobo-läsplattor, måste du ladda ned en fil och överföra den till enheten. Följ anvisningarna i hjälpcentret om du vill överföra filerna till en kompatibel läsplatta.

Rapportera olagligt innehåll