Probabilistic Properties Of Deterministic Systems
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Probabilistic Properties Of Deterministic Systems
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Author : Andrzej Lasota
language : en
Publisher: Cambridge University Press
Release Date : 2008-11-27
Probabilistic Properties Of Deterministic Systems written by Andrzej Lasota and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Mathematics categories.
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.
Probabilistic Properties Of Deterministic Systems
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Author : Andrzej Lasota
language : en
Publisher: Cambridge University Press
Release Date : 1985-12-27
Probabilistic Properties Of Deterministic Systems written by Andrzej Lasota and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-27 with Mathematics categories.
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.
Abstraction Refinement And Proof For Probabilistic Systems
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Author : Annabelle McIver
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Abstraction Refinement And Proof For Probabilistic Systems written by Annabelle McIver and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
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.
Chaos Fractals And Noise
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Author : Andrzej Lasota
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-04-01
Chaos Fractals And Noise written by Andrzej Lasota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-01 with Mathematics categories.
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.
A Systems Based Approach To Policymaking
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Author : Kenyon B. de Greene
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Systems Based Approach To Policymaking written by Kenyon B. de Greene and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book is based on a number of systems concepts, of which the following are emphasized here: oThe interacting systems of society and the environment are dynamic and evolution ary oEvolution of these systems carries them through stages of differential stability and instability, continuity and discontinuity oAssociated with evolution and instability is structural change that is essentially irre versible oThe present is a stage of world transformation that may not have been equaled for decades or even centuries oPolicies and decisions must match the times, in the present case the stage of world transformation The time 11:59:59 PM, approximately, on December 31, 2000 has an impor tant symbolic meaning. It marks the end of a minute, the end of an hour, the end of a day, the end of a year, the end of a decade, the end of a century, and the end of a millennium. The time and date provide a convenient yardstick against which we can evaluate the evolution of our thinking and the adequacy of our assumptions, mental models, paradigms, and policies. Will the beginning tum out to be appropriately dif ferent from the end? We hope that this book is helpful in such evaluation. This is a new-paradigm book, which both presents and advances the new way of thinking about the systems of science, technology, society, economics, politics, and the environment, and actively calls for the replacement of the worn out cognitive/sociotechnical paradigm.
Quantum Probability And Related Topics Qp Pq Volume Vi
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1991-10-31
Quantum Probability And Related Topics Qp Pq Volume Vi written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with Mathematics categories.
This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ϖ-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed.
Patrick Suppes Scientific Philosopher
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Author : P. Humphreys
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-09-30
Patrick Suppes Scientific Philosopher written by P. Humphreys and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-30 with Language Arts & Disciplines categories.
Patrick Suppes is a philosopher and scientist whose contributions range over probability and statistics, mathematical and experimental psychology, the foundations of physics, education theory, the philosophy of language, measurement theory, and the philosophy of science. He has also been a pioneer in the area of computer assisted instruction. In each of these areas, Suppes has provided seminal ideas that in some cases led to shaping the direction of research in the field. The papers contained in this collection were commissioned with the mandate of advancing research in their respective fields rather than retrospectively surveying the contributions that Suppes himself has made. The authors form an interesting mixture of researchers in both formal philosophy of science and science itself all of whom have been inspired by his ideas. To maintain the spirit of constructive dialogue that characterizes Suppes's intellectual style, he has written individual responses to each article. In Volume 1: Probability and Probabilistic Causality, nineteen distinguished philosophers and scientists focus their attention on probabilistic issues. In Part I the contributors explore axiomatic representations of probability theory including qualitative and interval valued probabilities as well as traditional point valued probabilities. Belief structures and the dynamics of belief are also treated in detail. In Part II the rapidly growing field of probabilistic causation is assessed from both formal and empirical viewpoints. For probability theorists, statisticians, economists, philosophers of science, psychologists and those interested in the foundations of mathematical social science. In Volume 2: Philosophy of Physics, Theory Structure, and Measurement Theory, fifteen distinguished philosophers and scientists cover a wide variety of topics. Part III covers issues in quantum theory, geometry, classical mechanics, and computational physics. Part IV explores Suppes's well known set-theoretic account of scientific theories which has served him well throughout his career. Suppes's contributions to measurement theory have been widely used in mathematical psychology and elsewhere, and this material is the subject of Part V. For physicists, logicians, workers in mathematical social sicence, and philosophers of science. In Volume 3: Philosophy of Language and Logic, Learning and Action Theory, fourteen distinguished philosophers and scientists explore issues in the philosophy of language, logic, and philosophical psychology. Suppes's suggestions that quantum theory requires a rethinking of classical logic form a particularly sharp account of that controversial thesis, and Part VI deals with this issue together with topics in the philosophy of language and logic, including relational grammars and anaphora. Part VII deals with issues in psychology, action theory, and robotics, while Part VIII concludes with a general survey of Suppes's views in the philosophy of science. A comprehensive chronological and topical bibliography of Suppes's writings is included in this volume. For philosophers of language, theoretical linguists, logicians, workers in mathematical social sciences, and philosophers of science.
Evolution Equations Control Theory And Biomathematics
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Author : Philippe Clement
language : en
Publisher: CRC Press
Release Date : 1993-11-23
Evolution Equations Control Theory And Biomathematics written by Philippe Clement and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-23 with Mathematics categories.
Based on the Third International Workshop Conference on Evolution Equations, Control Theory and Biomathematics, held in Hans-sur-Lesse, Belgium. The papers examine important advances in evolution equations related to physical, engineering and biological applications.
Self Organization And Clinical Psychology
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Author : Wolfgang Tschacher
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Self Organization And Clinical Psychology written by Wolfgang Tschacher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Psychology categories.
Self-organization and clinical psychology signals the advent of a new paradigm in psychology. Physicists, neuroscientists and individual and grouptherapists have joined forces to elucidate the new and exciting advances that are being achieved by applying the concepts of non-linear dynamics and self-organization to the human nervous system and the mind.
Wave Asymptotics
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Author : P. A. Martin
language : en
Publisher: Cambridge University Press
Release Date : 1992-05-29
Wave Asymptotics written by P. A. Martin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-29 with Mathematics categories.
This volume contains papers by distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics.