Non Archimedean Analysis Quantum Paradoxes Dynamical Systems And Biological Models

Download Non Archimedean Analysis Quantum Paradoxes Dynamical Systems And Biological Models full books in PDF, epub, and Kindle. Read online Non Archimedean Analysis Quantum Paradoxes Dynamical Systems And Biological Models ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 9400914830
Total Pages : 386 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by : Andrei Y. Khrennikov

Download or read book Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis). However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom.

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

Author : Andrei Y. Khrennikov
Publisher : Springer
ISBN 13 : 0792348001
Total Pages : 376 pages
Book Rating : 4.7/5 (923 download)

DOWNLOAD NOW!

Book Synopsis Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by : Andrei Y. Khrennikov

Download or read book Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models written by Andrei Y. Khrennikov and published by Springer. This book was released on 1997-09-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis). However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom.

Advances in $p$-adic and Non-Archimedean Analysis

Author : M. Berz
Publisher : American Mathematical Soc.
ISBN 13 : 0821847406
Total Pages : 281 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Advances in $p$-adic and Non-Archimedean Analysis by : M. Berz

Download or read book Advances in $p$-adic and Non-Archimedean Analysis written by M. Berz and published by American Mathematical Soc.. This book was released on 2010-02-17 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Non-Archimedean Analysis

Author : Helge Glöckner
Publisher : American Mathematical Soc.
ISBN 13 : 1470419882
Total Pages : 346 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Advances in Non-Archimedean Analysis by : Helge Glöckner

Download or read book Advances in Non-Archimedean Analysis written by Helge Glöckner and published by American Mathematical Soc.. This book was released on 2016-05-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the 13th International Conference on p-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany. The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

P-adic Deterministic and Random Dynamics

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 1402026609
Total Pages : 270 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis P-adic Deterministic and Random Dynamics by : Andrei Y. Khrennikov

Download or read book P-adic Deterministic and Random Dynamics written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Non-Archimedean Analysis and Applications

Author : W. A. Zúñiga-Galindo
Publisher : Springer Nature
ISBN 13 : 3030819760
Total Pages : 326 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis Advances in Non-Archimedean Analysis and Applications by : W. A. Zúñiga-Galindo

Download or read book Advances in Non-Archimedean Analysis and Applications written by W. A. Zúñiga-Galindo and published by Springer Nature. This book was released on 2021-12-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in particular its expanding reach into the physical, biological, social, and computational sciences as well as engineering and technology. In the last forty years the connections between non-Archimedean mathematics and disciplines such as physics, biology, economics and engineering, have received considerable attention. Ultrametric spaces appear naturally in models where hierarchy plays a central role – a phenomenon known as ultrametricity. In the 80s, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works of Fraunfelder, Parisi, Stein and others. A central paradigm in the physics of certain complex systems – for instance, proteins – asserts that the dynamics of such a system can be modeled as a random walk on the energy landscape of the system. To construct mathematical models, the energy landscape is approximated by an ultrametric space (a finite rooted tree), and then the dynamics of the system is modeled as a random walk on the leaves of a finite tree. In the same decade, Volovich proposed using ultrametric spaces in physical models dealing with very short distances. This conjecture has led to a large body of research in quantum field theory and string theory. In economics, the non-Archimedean utility theory uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering techniques. 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. This contributed volume gathers the latest theoretical developments as well as state-of-the art applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p-adic quantum mechanics, as well as p-adic string theory and p-adic dynamics. Further topics include ultrametric bioinformation, cryptography and bioinformatics in p-adic settings, non-Archimedean spacetime, gravity and cosmology, p-adic methods in spin glasses, and non-Archimedean analysis of mental spaces. By doing so, it highlights new avenues of research in the mathematical sciences, biosciences and computational sciences.

Derivatives

Author : Espen Gaarder Haug
Publisher : John Wiley & Sons
ISBN 13 : 1118836820
Total Pages : 400 pages
Book Rating : 4.1/5 (188 download)

DOWNLOAD NOW!

Book Synopsis Derivatives by : Espen Gaarder Haug

Download or read book Derivatives written by Espen Gaarder Haug and published by John Wiley & Sons. This book was released on 2013-10-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derivatives Models on Models takes a theoretical and practical look at some of the latest and most important ideas behind derivatives pricing models. In each chapter the author highlights the latest thinking and trends in the area. A wide range of topics are covered, including valuation methods on stocks paying discrete dividend, Asian options, American barrier options, Complex barrier options, reset options, and electricity derivatives. The book also discusses the latest ideas surrounding finance like the robustness of dynamic delta hedging, option hedging, negative probabilities and space-time finance. The accompanying CD-ROM with additional Excel sheets includes the mathematical models covered in the book. The book also includes interviews with some of the world’s top names in the industry, and an insight into the history behind some of the greatest discoveries in quantitative finance. Interviewees include: Clive Granger, Nobel Prize winner in Economics 2003, on Cointegration Nassim Taleb on Black Swans Stephen Ross on Arbitrage Pricing Theory Emanuel Derman the Wall Street Quant Edward Thorp on Gambling and Trading Peter Carr the Wall Street Wizard of Option Symmetry and Volatility Aaron Brown on Gambling, Poker and Trading David Bates on Crash and Jumps Andrei Khrennikov on Negative Probabilities Elie Ayache on Option Trading and Modeling Peter Jaeckel on Monte Carlo Simulation Alan Lewis on Stochastic Volatility and Jumps Paul Wilmott on Paul Wilmott Knut Aase on Catastrophes and Financial Economics Eduardo Schwartz the Yoga Master of Quantitative Finance Bruno Dupire on Local and Stochastic Volatility Models

Gibbs Measures In Biology And Physics: The Potts Model

Author : Utkir A Rozikov
Publisher : World Scientific
ISBN 13 : 9811251258
Total Pages : 367 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Gibbs Measures In Biology And Physics: The Potts Model by : Utkir A Rozikov

Download or read book Gibbs Measures In Biology And Physics: The Potts Model written by Utkir A Rozikov and published by World Scientific. This book was released on 2022-07-28 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recently obtained mathematical results on Gibbs measures of the q-state Potts model on the integer lattice and on Cayley trees. It also illustrates many applications of the Potts model to real-world situations in biology, physics, financial engineering, medicine, and sociology, as well as in some examples of alloy behavior, cell sorting, flocking birds, flowing foams, and image segmentation.Gibbs measure is one of the important measures in various problems of probability theory and statistical mechanics. It is a measure associated with the Hamiltonian of a biological or physical system. Each Gibbs measure gives a state of the system.The main problem for a given Hamiltonian on a countable lattice is to describe all of its possible Gibbs measures. The existence of some values of parameters at which the uniqueness of Gibbs measure switches to non-uniqueness is interpreted as a phase transition.This book informs the reader about what has been (mathematically) done in the theory of Gibbs measures of the Potts model and the numerous applications of the Potts model. The main aim is to facilitate the readers (in mathematical biology, statistical physics, applied mathematics, probability and measure theory) to progress into an in-depth understanding by giving a systematic review of the theory of Gibbs measures of the Potts model and its applications.

Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds

Author : A.K. Prykarpatsky
Publisher : Springer Science & Business Media
ISBN 13 : 9401149941
Total Pages : 555 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds by : A.K. Prykarpatsky

Download or read book Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds written by A.K. Prykarpatsky and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets. Very often such Poisson structures on corresponding manifolds are canonical, which gives rise to the possibility of producing their hidden group theoretical essence for many completely integrable dynamical systems. It is a well understood fact that great part of comprehensive integrability theories of nonlinear dynamical systems on manifolds is based on Lie-algebraic ideas, by means of which, in particular, the classification of such compatibly bi Hamiltonian and isospectrally Lax type integrable systems has been carried out. Many chapters of this book are devoted to their description, but to our regret so far the work has not been completed. Hereby our main goal in each analysed case consists in separating the basic algebraic essence responsible for the complete integrability, and which is, at the same time, in some sense universal, i. e. , characteristic for all of them. Integrability analysis in the framework of a gradient-holonomic algorithm, devised in this book, is fulfilled through three stages: 1) finding a symplectic structure (Poisson bracket) transforming an original dynamical system into a Hamiltonian form; 2) finding first integrals (action variables or conservation laws); 3) defining an additional set of variables and some functional operator quantities with completely controlled evolutions (for instance, as Lax type representation).

Ultrametric Functional Analysis

Author : Bertin Diarra
Publisher : American Mathematical Soc.
ISBN 13 : 0821836846
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Ultrametric Functional Analysis by : Bertin Diarra

Download or read book Ultrametric Functional Analysis written by Bertin Diarra and published by American Mathematical Soc.. This book was released on 2005 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by leading mathematicians, this proceedings volume reflects the program of the Eighth International Conference on $p$-adic Functional Analysis held at Blaise Pascal University (Clermont-Ferrand, France). Articles in the book offer a comprehensive overview of research in the area. A wide range of topics are covered, including basic ultrametric functional analysis, topological vector spaces, measure and integration, Choquet theory, Banach and topological algebras,analytic functions (in particular, in connection with algebraic geometry), roots of rational functions and Frobenius structure in $p$-adic differential equations, and $q$-ultrametric calculus. The material is suitable for graduate students and researchers interested in number theory, functionalanalysis, and algebra.

Probability and Randomness

Author : Andrei Khrennikov
Publisher : World Scientific
ISBN 13 : 1783267984
Total Pages : 300 pages
Book Rating : 4.7/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Probability and Randomness by : Andrei Khrennikov

Download or read book Probability and Randomness written by Andrei Khrennikov and published by World Scientific. This book was released on 2016-03-04 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level. Contents:Foundations of ProbabilityRandomnessSupplementary Notes on Measure-theoretic and Frequency ApproachesIntroduction to Quantum FormalismQuantum and Contextual ProbabilityInterpretations of Quantum Mechanics and ProbabilityRandomness: Quantum Versus ClassicalProbabilistic Structure of Bell''s ArgumentQuantum Probability Outside of Physics: from Molecular Biology to Cognition Readership: Researchers in mathematical physics, probability and statistics. Keywords:Kolmogorov Axiomataics;Randomness;Independence;Quantum Probability'

Quantum Social Science

Author : Emmanuel Haven
Publisher : Cambridge University Press
ISBN 13 : 1139851497
Total Pages : pages
Book Rating : 4.1/5 (398 download)

DOWNLOAD NOW!

Book Synopsis Quantum Social Science by : Emmanuel Haven

Download or read book Quantum Social Science written by Emmanuel Haven and published by Cambridge University Press. This book was released on 2013-01-17 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by world experts in the foundations of quantum mechanics and its applications to social science, this book shows how elementary quantum mechanical principles can be applied to decision-making paradoxes in psychology and used in modelling information in finance and economics. The book starts with a thorough overview of some of the salient differences between classical, statistical and quantum mechanics. It presents arguments on why quantum mechanics can be applied outside of physics and defines quantum social science. The issue of the existence of quantum probabilistic effects in psychology, economics and finance is addressed and basic questions and answers are provided. Aimed at researchers in economics and psychology, as well as physics, basic mathematical preliminaries and elementary concepts from quantum mechanics are defined in a self-contained way.

Theory of P-adic Distributions

Author : S. Albeverio
Publisher : Cambridge University Press
ISBN 13 : 0521148561
Total Pages : 369 pages
Book Rating : 4.5/5 (211 download)

DOWNLOAD NOW!

Book Synopsis Theory of P-adic Distributions by : S. Albeverio

Download or read book Theory of P-adic Distributions written by S. Albeverio and published by Cambridge University Press. This book was released on 2010-03-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

New Research on Consciousness

Author : Jason T. Locks
Publisher : Nova Publishers
ISBN 13 : 9781600212468
Total Pages : 322 pages
Book Rating : 4.2/5 (124 download)

DOWNLOAD NOW!

Book Synopsis New Research on Consciousness by : Jason T. Locks

Download or read book New Research on Consciousness written by Jason T. Locks and published by Nova Publishers. This book was released on 2007 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consciousness is a quality of the mind generally regarded to comprise qualities such as subjectivity, self-awareness, sentience, sapience, and the ability to perceive the relationship between oneself and one's environment. It is a subject of much research in philosophy of the mind, psychology, neurology, and cognitive science. This book presents a compilation of new and significant research on the many facets of consciousness. These include psychoenergetic studies, neurobiological hypothesis, theories on unconsciousness and psychoanalytic theories relating to sexual experiences.

Ultrametric Pseudodifferential Equations and Applications

Author : Andreĭ I︠U︡rʹevich Khrennikov
Publisher : Cambridge University Press
ISBN 13 : 1107188822
Total Pages : 255 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!

Book Synopsis Ultrametric Pseudodifferential Equations and Applications by : Andreĭ I︠U︡rʹevich Khrennikov

Download or read book Ultrametric Pseudodifferential Equations and Applications written by Andreĭ I︠U︡rʹevich Khrennikov and published by Cambridge University Press. This book was released on 2018-04-26 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Author : Masanori Ohya
Publisher : Springer Science & Business Media
ISBN 13 : 9400701713
Total Pages : 768 pages
Book Rating : 4.4/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems by : Masanori Ohya

Download or read book Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems written by Masanori Ohya and published by Springer Science & Business Media. This book was released on 2011-01-15 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

Jean Leray ’99 Conference Proceedings

Author : Maurice de Gosson
Publisher : Springer Science & Business Media
ISBN 13 : 9781402013782
Total Pages : 584 pages
Book Rating : 4.0/5 (137 download)

DOWNLOAD NOW!

Book Synopsis Jean Leray ’99 Conference Proceedings by : Maurice de Gosson

Download or read book Jean Leray ’99 Conference Proceedings written by Maurice de Gosson and published by Springer Science & Business Media. This book was released on 2003-05-31 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.