Probability In Complex Physical Systems
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Probability In Complex Physical Systems
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Author : Jean-Dominique Deuschel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23
Probability In Complex Physical Systems written by Jean-Dominique Deuschel 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 2012-04-23 with Mathematics categories.
Probabilistic approaches have played a prominent role in the study of complex physical systems for more than thirty years. This volume collects twenty articles on various topics in this field, including self-interacting random walks and polymer models in random and non-random environments, branching processes, Parisi formulas and metastability in spin glasses, and hydrodynamic limits for gradient Gibbs models. The majority of these articles contain original results at the forefront of contemporary research; some of them include review aspects and summarize the state-of-the-art on topical issues – one focal point is the parabolic Anderson model, which is considered with various novel aspects including moving catalysts, acceleration and deceleration and fron propagation, for both time-dependent and time-independent potentials. The authors are among the world’s leading experts. This Festschrift honours two eminent researchers, Erwin Bolthausen and Jürgen Gärtner, whose scientific work has profoundly influenced the field and all of the present contributions.
Random Processes In Physical Systems
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Author : Charles Allen Whitney
language : en
Publisher: Wiley-VCH
Release Date : 1990-07-23
Random Processes In Physical Systems written by Charles Allen Whitney and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-23 with Computers categories.
Introduces the reader to applications of computer programs that permit the manipulation of simulated physical systems, unlocking the potential for dramatic insights in the fields of physics, chemistry and statistics. Divided into four sections, it opens with an introduction to pseudo-random numbers and discusses the concept of the ``random walk'' as well as the excitation of atoms whose energy arrives in discrete quanta. Sample listings of computer programs for some of the key calculations are included. Section 2 describes a few of the most important processes that take place in the continuum of time, especially the scattering of photons in a gas and the ``Brownian motion'' of small particles. The third section applies these modeling techniques to the behavior of more complex systems and points the way to what promises to be a major use of computers in the future. Section 4 introduces the application of randomizing methods to the solution of statistical problems such as curve-fitting and error analysis. Using computer methods modeled on the rules of gambling, it promises to be a milestone in the field of physics education.
Bigger Than Chaos
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Author : Michael Strevens
language : en
Publisher: Harvard University Press
Release Date : 2009-06-30
Bigger Than Chaos written by Michael Strevens and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-30 with Science categories.
Michael Strevens shows how simplicity can co-exist with the tangled interconnections within complex systems. By looking at the foundations of statistical reasoning about complex systems (gases, ecosystems and even social systems) he provides an understanding of how simplicity emerges from complexity.
Foundations Of Complex Systems
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Author : Gregoire Nicolis
language : en
Publisher: World Scientific
Release Date : 2007
Foundations Of Complex Systems written by Gregoire Nicolis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.
A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.
New Trends In Statistical Physics Of Complex Systems
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Author : Antonio M. Scarfone
language : en
Publisher: MDPI
Release Date : 2019-01-28
New Trends In Statistical Physics Of Complex Systems written by Antonio M. Scarfone and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-28 with Mathematics categories.
This book is a printed edition of the Special Issue "New Trends in Statistical Physics of Complex Systems" that was published in Entropy
A Concise Introduction To The Statistical Physics Of Complex Systems
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Author : Eric Bertin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-28
A Concise Introduction To The Statistical Physics Of Complex Systems written by Eric Bertin 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 2011-09-28 with Science categories.
This concise primer (based on lectures given at summer schools on complex systems and on a masters degree course in complex systems modeling) will provide graduate students and newcomers to the field with the basic knowledge of the concepts and methods of statistical physics and its potential for application to interdisciplinary topics. Indeed, in recent years, statistical physics has begun to attract the interest of a broad community of researchers in the field of complex system sciences, ranging from biology to the social sciences, economics and computer science. More generally, a growing number of graduate students and researchers feel the need to learn some basic concepts and questions originating in other disciplines without necessarily having to master all of the corresponding technicalities and jargon. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting ‘entities’, and on the other to predict the macroscopic (or collective) behavior of the system considered from the microscopic laws ruling the dynamics of the individual ‘entities’. These two goals are, to some extent, also shared by what is nowadays called ‘complex systems science’ and for these reasons, systems studied in the framework of statistical physics may be considered as among the simplest examples of complex systems—allowing in addition a rather well developed mathematical treatment.
Theory And Simulation Of Random Phenomena
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Author : Ettore Vitali
language : en
Publisher: Springer
Release Date : 2019-02-08
Theory And Simulation Of Random Phenomena written by Ettore Vitali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-08 with Science categories.
The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically are presented in textbooks that require a very strong mathematical background. Second, while leading the reader on this journey, it aims to impart the knowledge needed in order to develop algorithms that simulate realistic physical systems. Connections with several fields of pure and applied physics, from quantum mechanics to econophysics, are provided. Furthermore, the inclusion of fully solved exercises will enable the reader to learn quickly and to explore topics not covered in the main text. The book will appeal especially to graduate students wishing to learn how to simulate physical systems and to deepen their knowledge of the mathematical framework, which has very deep connections with modern quantum field theory.
Cellular Automata And Modeling Of Complex Physical Systems
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Author : Paul Manneville
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cellular Automata And Modeling Of Complex Physical Systems written by Paul Manneville 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 Science categories.
Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.
Probability And Analysis In Interacting Physical Systems
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Author : Peter Friz
language : en
Publisher: Springer
Release Date : 2019-05-24
Probability And Analysis In Interacting Physical Systems written by Peter Friz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-24 with Mathematics categories.
This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation. The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.
Complex Physical Biophysical And Econophysical Systems
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Author :
language : en
Publisher:
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Complex Physical Biophysical And Econophysical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.