P Adic Deterministic And Random Dynamics

Author : Andrei Y. Khrennikov,Marcus Nilsson
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 53,9 Mb
Release : 2013-03-14
Category : Science
ISBN : 9781402026607

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P-adic Deterministic and Random Dynamics by Andrei Y. Khrennikov,Marcus Nilsson Pdf

This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. The main part of the book is devoted to discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.

Author : Andrei Y Khrennikov,Marcus Nilsson
Publisher : Unknown
Page : 292 pages
File Size : 54,8 Mb
Release : 2004-10-18
Category : Electronic
ISBN : 9401570558

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P-Adic Deterministic and Random Dynamics by Andrei Y Khrennikov,Marcus Nilsson Pdf

Author : M. Berz,Khodr Shamseddine
Publisher : American Mathematical Soc.
Page : 281 pages
File Size : 42,8 Mb
Release : 2010-02-17
Category : Mathematics
ISBN : 9780821847404

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Advances in $p$-adic and Non-Archimedean Analysis by M. Berz,Khodr Shamseddine Pdf

This volume contains the proceedings of the Tenth International Conference on $p$-adic and Non-Archimedean Analysis, held at Michigan State University in East Lansing, Michigan, on June 30-July 3, 2008. This volume contains a kaleidoscope of papers based on several of the more important talks presented at the meeting. It provides a cutting-edge connection to some of the most important recent developments in the field. Through a combination of survey papers, research articles, and extensive references to earlier work, this volume allows the reader to quickly gain an overview of current activity in the field and become acquainted with many of the recent sub-branches of its development.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,7 Mb
Release : 2024-05-23
Category : Electronic
ISBN : 9789814476003

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Harmonic, Wavelet and P-Adic Analysis by Anonim Pdf

Author : S. Albeverio,V. M. Shelkovich
Publisher : Cambridge University Press
Page : 369 pages
File Size : 53,9 Mb
Release : 2010-03-18
Category : Mathematics
ISBN : 9780521148566

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Theory of P-adic Distributions by S. Albeverio,V. M. Shelkovich Pdf

A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

Author : J.H. Silverman
Publisher : Springer Science & Business Media
Page : 518 pages
File Size : 53,7 Mb
Release : 2010-05-05
Category : Mathematics
ISBN : 9780387699042

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The Arithmetic of Dynamical Systems by J.H. Silverman Pdf

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio
Publisher : Luigi Pellegrini Editore
Page : 152 pages
File Size : 42,8 Mb
Release : 2013-06-27
Category : Mathematics
ISBN : 9788868220334

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Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS” by Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio Pdf

This book contains Proceedings of the International Conference and Summer School NUMTA-2013 “Numerical Computations: Theory and Algorithms”. The Conference is organized jointly by the University of Calabria, Italy, and by the N.I. Lobachevsky State University of Nizhni Novgorod, Russia in cooperation with the Society for Industrial and Applied Mathematics (SIAM), USA. The goal of the Conference is to create a multidisciplinary round table for an open discussion on numerical modeling nature by using traditional and emerging computational paradigms. The Conference discusses all aspects of numerical computations and modeling from foundations and philosophy to advanced numerical techniques. New technological challenges and fundamental ideas from theoretical computer science, linguistic, logic, set theory, and philosophy meet requirements and new fresh applications from physics, chemistry, biology, and economy.

Author : Jesus Araujo-Gomez,Bertin Diarra,Alain Escassut
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 54,9 Mb
Release : 2011
Category : Topological fields
ISBN : 9780821852910

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Advances in Non-Archimedean Analysis by Jesus Araujo-Gomez,Bertin Diarra,Alain Escassut Pdf

These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.

Author : Clara Grácio,Daniele Fournier-Prunaret,Tetsushi Ueta,Yoshifumi Nishio
Publisher : Springer Science & Business Media
Page : 166 pages
File Size : 42,9 Mb
Release : 2014-02-18
Category : Mathematics
ISBN : 9781461491613

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Nonlinear Maps and their Applications by Clara Grácio,Daniele Fournier-Prunaret,Tetsushi Ueta,Yoshifumi Nishio Pdf

In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists. This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2011) held in Évora, Portugal, on September 15-16, 2011. This kind of collaborative effort is of paramount importance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well as researchers in the field.

Author : Andreĭ I︠U︡rʹevich Khrennikov,Andrei Yu. Khrennikov,Sergei V. Kozyrev,W. A. Zúñiga-Galindo
Publisher : Cambridge University Press
Page : 255 pages
File Size : 45,6 Mb
Release : 2018-04-26
Category : Mathematics
ISBN : 9781107188822

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Ultrametric Pseudodifferential Equations and Applications by Andreĭ I︠U︡rʹevich Khrennikov,Andrei Yu. Khrennikov,Sergei V. Kozyrev,W. A. Zúñiga-Galindo Pdf

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

Author : Philippe Biane,Luc Bouten,Fabio Cipriani,Norio Konno,Quanhua Xu
Publisher : Springer
Page : 464 pages
File Size : 44,5 Mb
Release : 2008-10-16
Category : Mathematics
ISBN : 9783540693659

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Quantum Potential Theory by Philippe Biane,Luc Bouten,Fabio Cipriani,Norio Konno,Quanhua Xu Pdf

This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 51,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401704793

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Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena by Andrei Y. Khrennikov Pdf

In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure.

Author : César Ernesto Silva
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 43,7 Mb
Release : 2008
Category : Ergodic theory
ISBN : 9780821844205

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Invitation to Ergodic Theory by César Ernesto Silva Pdf

"Several examples of a dynamical system are developed in detail to illustrate various dynamical concepts. These include in particular the baker's transformation, irrational rotations, the dyadic odometer, the Hajian-Kakutani transformation, the Gauss transformation, and the Chacon transformation. There is a detailed discussion of cutting and stacking transformations in ergodic theory. The book includes several exercises and some open questions to give the flavor of current research. The book also introduces some notions from topological dynamics, such as minimality, transitivity and symbolic spaces; and develops some metric topology, including the Baire category theorem."--BOOK JACKET.

Author : Zoran Rakic,Igor V. Volovich
Publisher : American Institute of Physics
Page : 392 pages
File Size : 41,5 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : UOM:39015064132817

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P-Adic Mathematical Physics by Zoran Rakic,Igor V. Volovich Pdf

The subject of this conference was recent developments in p-adic mathematical physics and related areas. The field of p-Adic mathematical physics was conceived in 1987 as a result of attempts to find non-Archimedean approaches to space-time at the Planck scale as well as to strings. Since then, many applications of p-adic numbers and adeles in physics and related sciences have emerged. Some of them are p-adic and adelic string theory, p-adic and adelic quantum mechanics and quantum field theory, ultrametricity of spin glasses, biological and hierarchical systems, p-adic dynamical systems, p-adic probability theory, p-adic models of cognitive processes and cryptography, as well as p-adic and adelic cosmology.

Author : Anonim
Publisher : Unknown
Page : 984 pages
File Size : 46,7 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015082440606

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Mathematical Reviews by Anonim Pdf