Probabilistic Properties Of Deterministic Systems

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Probabilistic Properties of Deterministic Systems

Author : Andrzej Lasota
Publisher : Cambridge University Press
ISBN 13 : 9780521090964
Total Pages : 376 pages
Book Rating : 4.0/5 (99 download)

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Book Synopsis Probabilistic Properties of Deterministic Systems by : Andrzej Lasota

Download or read book Probabilistic Properties of Deterministic Systems written by Andrzej Lasota and published by Cambridge University Press. This book was released on 2008-11-27 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed.

Statistical Properties of Deterministic Systems

Author : Jiu Ding
Publisher : Springer Science & Business Media
ISBN 13 : 3540853677
Total Pages : 248 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Statistical Properties of Deterministic Systems by : Jiu Ding

Download or read book Statistical Properties of Deterministic Systems written by Jiu Ding and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

Stochastic Hybrid Systems

Author : Christos G. Cassandras
Publisher : CRC Press
ISBN 13 : 1420008544
Total Pages : 301 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Stochastic Hybrid Systems by : Christos G. Cassandras

Download or read book Stochastic Hybrid Systems written by Christos G. Cassandras and published by CRC Press. This book was released on 2018-10-03 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because they incorporate both time- and event-driven dynamics, stochastic hybrid systems (SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological processes to communication networks to engineering. Comprehensively integrating numerous cutting-edge studies, Stochastic Hybrid Systems presents a captivating treatment of some of the most ambitious types of dynamic systems. Cohesively edited by leading experts in the field, the book introduces the theoretical basics, computational methods, and applications of SHS. It first discusses the underlying principles behind SHS and the main design limitations of SHS. Building on these fundamentals, the authoritative contributors present methods for computer calculations that apply SHS analysis and synthesis techniques in practice. The book concludes with examples of systems encountered in a wide range of application areas, including molecular biology, communication networks, and air traffic management. It also explains how to resolve practical problems associated with these systems. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.

Handbook of Probabilistic Models

Author : Pijush Samui
Publisher : Butterworth-Heinemann
ISBN 13 : 0128165464
Total Pages : 592 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Handbook of Probabilistic Models by : Pijush Samui

Download or read book Handbook of Probabilistic Models written by Pijush Samui and published by Butterworth-Heinemann. This book was released on 2019-10-05 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Probabilistic Models carefully examines the application of advanced probabilistic models in conventional engineering fields. In this comprehensive handbook, practitioners, researchers and scientists will find detailed explanations of technical concepts, applications of the proposed methods, and the respective scientific approaches needed to solve the problem. This book provides an interdisciplinary approach that creates advanced probabilistic models for engineering fields, ranging from conventional fields of mechanical engineering and civil engineering, to electronics, electrical, earth sciences, climate, agriculture, water resource, mathematical sciences and computer sciences. Specific topics covered include minimax probability machine regression, stochastic finite element method, relevance vector machine, logistic regression, Monte Carlo simulations, random matrix, Gaussian process regression, Kalman filter, stochastic optimization, maximum likelihood, Bayesian inference, Bayesian update, kriging, copula-statistical models, and more. - Explains the application of advanced probabilistic models encompassing multidisciplinary research - Applies probabilistic modeling to emerging areas in engineering - Provides an interdisciplinary approach to probabilistic models and their applications, thus solving a wide range of practical problems

Chaos, Fractals, and Noise

Author : Andrzej Lasota
Publisher : Springer Science & Business Media
ISBN 13 : 146124286X
Total Pages : 481 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos, Fractals, and Noise by : Andrzej Lasota

Download or read book Chaos, Fractals, and Noise written by Andrzej Lasota and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.

Deterministic Nonlinear Systems

Author : Vadim S. Anishchenko
Publisher : Springer
ISBN 13 : 3319068717
Total Pages : 300 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Deterministic Nonlinear Systems by : Vadim S. Anishchenko

Download or read book Deterministic Nonlinear Systems written by Vadim S. Anishchenko and published by Springer. This book was released on 2014-06-16 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Foundations of Software Technology and Theoretical Computer Science

Author : P.S. Thiagarajan
Publisher : Springer
ISBN 13 : 9783540606925
Total Pages : 523 pages
Book Rating : 4.6/5 (69 download)

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Book Synopsis Foundations of Software Technology and Theoretical Computer Science by : P.S. Thiagarajan

Download or read book Foundations of Software Technology and Theoretical Computer Science written by P.S. Thiagarajan and published by Springer. This book was released on 1995-12-04 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS '95, held in Bangalore, India in December 1995. The volume presents 31 full revised research papers selected from a total of 106 submissions together with full papers of four invited talks. Among the topics covered are algorithms, software technology, functional programming theory, distributed algorithms, term rewriting and constraint logic programming, complexity theory, process algebras, computational geometry, and temporal logics and verification theory.

Abstraction, Refinement and Proof for Probabilistic Systems

Author : Annabelle McIver
Publisher : Springer Science & Business Media
ISBN 13 : 038727006X
Total Pages : 394 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Abstraction, Refinement and Proof for Probabilistic Systems by : Annabelle McIver

Download or read book Abstraction, Refinement and Proof for Probabilistic Systems written by Annabelle McIver and published by Springer Science & Business Media. This book was released on 2005-10-27 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrates by example the typical steps necessary in computer science to build a mathematical model of any programming paradigm . Presents results of a large and integrated body of research in the area of 'quantitative' program logics.

The Design Inference

Author : William A. Dembski
Publisher : Cambridge University Press
ISBN 13 : 1139936298
Total Pages : 266 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis The Design Inference by : William A. Dembski

Download or read book The Design Inference written by William A. Dembski and published by Cambridge University Press. This book was released on 1998-09-13 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design inference uncovers intelligent causes by isolating their key trademark: specified events of small probability. Just about anything that happens is highly improbable, but when a highly improbable event is also specified (i.e. conforms to an independently given pattern) undirected natural causes lose their explanatory power. Design inferences can be found in a range of scientific pursuits from forensic science to research into the origins of life to the search for extraterrestrial intelligence. This challenging and provocative 1998 book shows how incomplete undirected causes are for science and breathes new life into classical design arguments. It will be read with particular interest by philosophers of science and religion, other philosophers concerned with epistemology and logic, probability and complexity theorists, and statisticians.

The Nature of Time: Geometry, Physics and Perception

Author : R. Buccheri
Publisher : Springer Science & Business Media
ISBN 13 : 9401001553
Total Pages : 441 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis The Nature of Time: Geometry, Physics and Perception by : R. Buccheri

Download or read book The Nature of Time: Geometry, Physics and Perception written by R. Buccheri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are very few concepts that fascinate equally a theoretical physicist studying black holes and a patient undergoing seriolls mental psychosis. Time, undoubtedly, can well be ranked among them. For the measure of time inside a black hole is no less bizarre than the perception of time by a schizophrenic, who may perceive it as completely "suspended," "standing still," or even "reversing its direction. " The nature of time is certainly shrouded in profound mystery. This, perhaps, since the concept entails multifarious, and occasionally incongruous, facets. No wonder the subject attracts the serious attention of scholars on the one hand, and of the lay public on the other. Our Advanced Research Workshop is an excellent il lustration of this point, as the reader will soon discover. It turned out to be a unique professional forum for an unusually lively, effective and fruitful exchange of ideas and beliefs among 48 participants from 20 countries worldwide, selected out of more than a hundred applicants. The present book is based on the select talks presented at the meeting, and aims to provide the interested layperson and specialist alike with a multidisciplinary sampling of the most up-to-date scholarly research on the nature of time. It represents a coherent, state-of-the-art volume showing that research relevant to this topic is necessarily interdisciplinary and does not ignore such delicate issues as "altered" states of consciousness, religion and metaphysics.

Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday

Author : Luc T Wille
Publisher : World Scientific
ISBN 13 : 9814544167
Total Pages : 536 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday by : Luc T Wille

Download or read book Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday written by Luc T Wille and published by World Scientific. This book was released on 1999-02-04 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of original papers and reviews in honour of James McGuire, one of the pioneers of integrable models in statistical physics. The broad range of articles offers a timely perspective on the current status of statistical mechanics, identifying both recent results as well as future challenges. The work contains a number of overviews of standard topics such as exactly solved lattice models and their various applications in statistical physics, from models of strongly correlated electrons to the conformational properties of polymer chains. It is equally wide ranging in its coverage of new directions and developing fields including quantum computers, financial markets, chaotic systems, Feigenbaum scaling, proteins, brain behaviour, immunology, Markov superposition, Bose-Einstein condensation, random matrices, exclusion statistics, vertex operator algebras and D-unsolvability.The level of coverage is appropriate for graduate students. It will be equally of interest to professional physicists who want to learn about progress in statistical physics in recent years. Experts will find this work useful because of its broad sweep of topics and its discussion of remaining unsolved problems.

Introduction to Nonlinear Science

Author : G. Nicolis
Publisher : Cambridge University Press
ISBN 13 : 9780521467827
Total Pages : 274 pages
Book Rating : 4.4/5 (678 download)

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Book Synopsis Introduction to Nonlinear Science by : G. Nicolis

Download or read book Introduction to Nonlinear Science written by G. Nicolis and published by Cambridge University Press. This book was released on 1995-06-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications.

Nonparametric Statistics for Stochastic Processes

Author : D. Bosq
Publisher : Springer Science & Business Media
ISBN 13 : 1461217180
Total Pages : 219 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonparametric Statistics for Stochastic Processes by : D. Bosq

Download or read book Nonparametric Statistics for Stochastic Processes written by D. Bosq and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory and applications of nonparametic functional estimation and prediction. Chapter 1 provides an overview of inequalities and limit theorems for strong mixing processes. Density and regression estimation in discrete time are studied in Chapter 2 and 3. The special rates of convergence which appear in continuous time are presented in Chapters 4 and 5. This second edition is extensively revised and it contains two new chapters. Chapter 6 discusses the surprising local time density estimator. Chapter 7 gives a detailed account of implementation of nonparametric method and practical examples in economics, finance and physics. Comarison with ARMA and ARCH methods shows the efficiency of nonparametric forecasting. The prerequisite is a knowledge of classical probability theory and statistics. Denis Bosq is Professor of Statistics at the Unviersity of Paris 6 (Pierre et Marie Curie). He is Editor-in-Chief of "Statistical Inference for Stochastic Processes" and an editor of "Journal of Nonparametric Statistics". He is an elected member of the International Statistical Institute. He has published about 90 papers or works in nonparametric statistics and four books.

Nonlinear Dynamics

Author : Alfredo Medio
Publisher : Cambridge University Press
ISBN 13 : 9780521558747
Total Pages : 324 pages
Book Rating : 4.5/5 (587 download)

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Book Synopsis Nonlinear Dynamics by : Alfredo Medio

Download or read book Nonlinear Dynamics written by Alfredo Medio and published by Cambridge University Press. This book was released on 2001-10-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources

The Trinity and an Entangled World

Author : John Polkinghorne
Publisher : Wm. B. Eerdmans Publishing
ISBN 13 : 0802865127
Total Pages : 228 pages
Book Rating : 4.8/5 (28 download)

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Book Synopsis The Trinity and an Entangled World by : John Polkinghorne

Download or read book The Trinity and an Entangled World written by John Polkinghorne and published by Wm. B. Eerdmans Publishing. This book was released on 2010-08-25 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides containing insights from both expert scientists and theologians, The Trinity and an Entangled World considers the way in which these parallel insights can contribute to a harmonious dialogue between science and religion. --Book Jacket.

Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes

Author : Aleksand Janicki
Publisher : CRC Press
ISBN 13 : 1000445070
Total Pages : 376 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes by : Aleksand Janicki

Download or read book Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes written by Aleksand Janicki and published by CRC Press. This book was released on 2021-07-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents new computer methods in approximation, simulation, and visualization for a host of alpha-stable stochastic processes.

Financial Dynamics and Business Cycles

Author : Willi Semmler
Publisher : Routledge
ISBN 13 : 131528880X
Total Pages : 274 pages
Book Rating : 4.3/5 (152 download)

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Book Synopsis Financial Dynamics and Business Cycles by : Willi Semmler

Download or read book Financial Dynamics and Business Cycles written by Willi Semmler and published by Routledge. This book was released on 2019-08-08 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the 55th anniversary of the bank holiday of March 1933 approached, financial instability was a main topic in the financial press. Daily reports appeared of international debt crises, of the covert bankruptcy of deposit insurance, and of the near bankruptcy of one great financial institution after another. The great stock market crash of October 19 and 20, 1987, demonstrated that extreme instability can happen. It is generally asserted that the consequences of October 19th and 20th would have been disastrous if the Federal Reserve and Treasury interventions had not set things right. In 1933, financial markets in the United States and throughout the capitalist world collapsed. In the light of historical experience, the past 55 years are the anomaly. The papers collected in this volume come from various backgrounds and research paradigms. A common theme runs through these papers that makes the collection both interesting and important: The authors take seriously the obvious evidence that capitalist economies progress through time by lurching. Whether a particular study starts from household utility maximization or from the processes by which productive structures are reproduced and expanded, the authors are united in accepting the evidence that financial instability is a significant characteristic of modern capitalism.