From Markov Chains To Non Equilibrium Particle Systems

Author : Mufa Chen
Publisher : World Scientific
ISBN 13 : 9812388117
Total Pages : 610 pages
Book Rating : 4.17/5 ( download)

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Download or read book From Markov Chains to Non-equilibrium Particle Systems written by Mufa Chen and published by World Scientific. This book was released on 2004 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction-diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.

Author : Mu Fa Chen
Publisher :
ISBN 13 : 9787506219259
Total Pages : 551 pages
Book Rating : 4.55/5 ( download)

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Download or read book From Markov Chains to Non-equilibrium Particle Systems written by Mu Fa Chen and published by . This book was released on 1994 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mu Fa Chen
Publisher :
ISBN 13 : 9789814439510
Total Pages : 550 pages
Book Rating : 4.17/5 ( download)

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Download or read book From Markov Chains to Non-equilibrium Particle Systems written by Mu Fa Chen and published by . This book was released on 1992 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Claude Kipnis
Publisher : Springer Science & Business Media
ISBN 13 : 3662037521
Total Pages : 453 pages
Book Rating : 4.22/5 ( download)

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Download or read book Scaling Limits of Interacting Particle Systems written by Claude Kipnis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been long awaited in the "interacting particle systems" community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.

Author : D. Griffeath
Publisher : Springer
ISBN 13 : 3540351744
Total Pages : 114 pages
Book Rating : 4.40/5 ( download)

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Download or read book Additive and Cancellative Interacting Particle Systems written by D. Griffeath and published by Springer. This book was released on 2006-11-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G.R. Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 9401583269
Total Pages : 334 pages
Book Rating : 4.68/5 ( download)

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Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

Author : Christian Maes
Publisher : Springer
ISBN 13 : 3319677802
Total Pages : 53 pages
Book Rating : 4.04/5 ( download)

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Download or read book Non-Dissipative Effects in Nonequilibrium Systems written by Christian Maes and published by Springer. This book was released on 2017-09-20 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and discusses both the fundamental aspects and the measurability of applications of time-symmetric kinetic quantities, outlining the features that constitute the non-dissipative branch of non-equilibrium physics. These specific features of non-equilibrium dynamics have largely been ignored in standard statistical mechanics texts. This introductory-level book offers novel material that does not take the traditional line of extending standard thermodynamics to the irreversible domain. It shows that although stationary dissipation is essentially equivalent with steady non-equilibrium and ubiquitous in complex phenomena, non-equilibrium is not determined solely by the time-antisymmetric sector of energy-entropy considerations. While this should not be very surprising, this book provides timely, simple reminders of the role of time-symmetric and kinetic aspects in the construction of non-equilibrium statistical mechanics.

Author : Matthias Birkner
Publisher : World Scientific
ISBN 13 : 9811206090
Total Pages : 363 pages
Book Rating : 4.92/5 ( download)

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Download or read book Genealogies of Interacting Particle Systems written by Matthias Birkner and published by World Scientific. This book was released on 2020 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop "--Publisher's website.

Author : Thomas M. Liggett
Publisher : Springer Science & Business Media
ISBN 13 : 3662039907
Total Pages : 346 pages
Book Rating : 4.08/5 ( download)

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Download or read book Stochastic Interacting Systems: Contact, Voter and Exclusion Processes written by Thomas M. Liggett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactive particle systems is a branch of probability theory with close connections to mathematical physics and mathematical biology. This book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. It explains and develops many of the most useful techniques in the field.

Author : Mu-Fa Chen
Publisher : Springer Science & Business Media
ISBN 13 : 1846281237
Total Pages : 239 pages
Book Rating : 4.35/5 ( download)

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Download or read book Eigenvalues, Inequalities, and Ergodic Theory written by Mu-Fa Chen and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first and only book to make this research available in the West Concise and accessible: proofs and other technical matters are kept to a minimum to help the non-specialist Each chapter is self-contained to make the book easy-to-use