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Author : Enzo Olivieri
Publisher : Cambridge University Press
ISBN 13 : 9780521591638
Total Pages : 540 pages
Book Rating : 4.5/5 (916 download)
Download or read book Large Deviations and Metastability written by Enzo Olivieri and published by Cambridge University Press. This book was released on 2005-02-21 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Maria Eulália Vares
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (392 download)
Download or read book Large Deviations and Metastability written by Maria Eulália Vares and published by . This book was released on 1992 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anton Bovier
Publisher : Springer
ISBN 13 : 3319247778
Total Pages : 578 pages
Book Rating : 4.3/5 (192 download)
Download or read book Metastability written by Anton Bovier and published by Springer. This book was released on 2016-02-11 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes. The authors shed new light on the metastability phenomenon as a sequence of visits of the path of the process to different metastable sets, and focuses on the precise analysis of the respective hitting probabilities and hitting times of these sets. The theory is illustrated with many examples, ranging from finite-state Markov chains, finite-dimensional diffusions and stochastic partial differential equations, via mean-field dynamics with and without disorder, to stochastic spin-flip and particle-hop dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour. The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.
Author : Claude Kipnis
Publisher : Springer Science & Business Media
ISBN 13 : 3662037521
Total Pages : 453 pages
Book Rating : 4.6/5 (62 download)
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 : Ari Laptev
Publisher : European Mathematical Society
ISBN 13 : 9783037190098
Total Pages : 906 pages
Book Rating : 4.1/5 (9 download)
Download or read book European Congress of Mathematics written by Ari Laptev and published by European Mathematical Society. This book was released on 2005 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992, Budapest, 1996, and Barcelona, 2000, the Fourth European Congress of Mathematics took place in Stockholm, Sweden, June 27 to July 2, 2004, with 913 participants from 65 countries. Apart from seven plenary and thirty three invited lectures, there were six Science Lectures covering the most relevant aspects of mathematics in science and technology. Moreover, twelve projects of the EU Research Training Networks in Mathematics and Information Sciences, as well as Programmes from the European Science Foundation in Physical and Engineering Sciences, were presented. Ten EMS Prizes were awarded to young European mathematicians who have made a particular contribution to the progress of mathematics. Five of the prizewinners were independently chosen by the 4ECM Scientific Committee as plenary or invited speakers. The other five prizewinners gave their lectures in parallel sessions. Most of these contributions are now collected in this volume, providing a permanent record of so much that is best in mathematics today.
Author : Robert Dalang
Publisher : Springer Science & Business Media
ISBN 13 : 3034800215
Total Pages : 487 pages
Book Rating : 4.0/5 (348 download)
Download or read book Seminar on Stochastic Analysis, Random Fields and Applications VI written by Robert Dalang and published by Springer Science & Business Media. This book was released on 2011-03-16 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed research or review papers presented at the 6th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, in May 2008. The seminar focused mainly on stochastic partial differential equations, especially large deviations and control problems, on infinite dimensional analysis, particle systems and financial engineering, especially energy markets and climate models. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance.
Author : Jean-Dominique Deuschel
Publisher : Springer Science & Business Media
ISBN 13 : 3642238114
Total Pages : 518 pages
Book Rating : 4.6/5 (422 download)
Download or read book Probability in Complex Physical Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Mark A Peletier
Publisher : World Scientific
ISBN 13 : 9813239611
Total Pages : 428 pages
Book Rating : 4.8/5 (132 download)
Download or read book Complexity Science: An Introduction written by Mark A Peletier and published by World Scientific. This book was released on 2019-03-20 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on complexity science comprises a collection of chapters on methods and principles from a wide variety of disciplinary fields — from physics and chemistry to biology and the social sciences.In this two-part volume, the first part is a collection of chapters introducing different aspects in a coherent fashion, and providing a common basis and the founding principles of the different complexity science approaches; the next provides deeper discussions of the different methods of use in complexity science, with interesting illustrative applications.The fundamental topics deal with self-organization, pattern formation, forecasting uncertainties, synchronization and revolutionary change, self-adapting and self-correcting systems, and complex networks. Examples are taken from biology, chemistry, engineering, epidemiology, robotics, economics, sociology, and neurology.
Author : Ignacio Rojas
Publisher : Springer
ISBN 13 : 3642386792
Total Pages : 687 pages
Book Rating : 4.6/5 (423 download)
Download or read book Advances in Computational Intelligence written by Ignacio Rojas and published by Springer. This book was released on 2013-06-21 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set LNCS 7902 and 7903 constitutes the refereed proceedings of the 12th International Work-Conference on Artificial Neural Networks, IWANN 2013, held in Puerto de la Cruz, Tenerife, Spain, in June 2013. The 116 revised papers were carefully reviewed and selected from numerous submissions for presentation in two volumes. The papers explore sections on mathematical and theoretical methods in computational intelligence, neurocomputational formulations, learning and adaptation emulation of cognitive functions, bio-inspired systems and neuro-engineering, advanced topics in computational intelligence and applications
Author : Andreas Greven
Publisher : Princeton University Press
ISBN 13 : 1400865220
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)
Download or read book Entropy written by Andreas Greven and published by Princeton University Press. This book was released on 2014-09-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.
Author : Carolina Araujo
Publisher : Springer Nature
ISBN 13 : 3030211703
Total Pages : 164 pages
Book Rating : 4.0/5 (32 download)
Download or read book World Women in Mathematics 2018 written by Carolina Araujo and published by Springer Nature. This book was released on 2019-11-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first World Meeting for Women in Mathematics - (WM)2 - was a satellite event of the International Congress of Mathematicians (ICM) 2018 in Rio de Janeiro. With a focus on Latin America, the first (WM)2 brought together mathematicians from all over the world to celebrate women mathematicians, and also to reflect on gender issues in mathematics, challenges, initiatives, and perspectives for the future. Its activities were complemented by a panel discussion organized by the Committee for Women in Mathematics (CWM) of the International Mathematical Union (IMU) inside the ICM 2018 entitled "The gender gap in mathematical and natural sciences from a historical perspective”. This historical proceedings book, organized by CWM in coordination with the Association for Women in Mathematics, records the first (WM)2 and the CWM panel discussion at ICM 2018. The first part of the volume includes a report of activities with pictures of the first (WM)2 and a tribute to Maryam Mirzakhani, the first woman to be awarded the Fields medal. It also comprises survey research papers from invited lecturers, which provide panoramic views of different fields in pure and applied mathematics. The second part of the book contains articles from the panelists of the CWM panel discussion, which consider the historical context of the gender gap in mathematics. It includes an analysis of women lecturers in the ICM since its inception. This book is dedicated to the memory of Maryam Mirzakhani.
Author : Pierre-Yves Louis
Publisher : Springer
ISBN 13 : 3319655582
Total Pages : 350 pages
Book Rating : 4.3/5 (196 download)
Download or read book Probabilistic Cellular Automata written by Pierre-Yves Louis and published by Springer. This book was released on 2018-02-21 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical systems. As such, it will be of interest to students and non-specialists looking to enter the field and to explore its challenges and open issues.
Author : Peter Mörters
Publisher : Oxford University Press, USA
ISBN 13 : 0199239258
Total Pages : 347 pages
Book Rating : 4.1/5 (992 download)
Download or read book Analysis and Stochastics of Growth Processes and Interface Models written by Peter Mörters and published by Oxford University Press, USA. This book was released on 2008-07-24 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of topical survey articles by researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is given to the interplay of the usually separate fields of applied analysis and probability theory.
Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
ISBN 13 : 3540729941
Total Pages : 304 pages
Book Rating : 4.5/5 (47 download)
Download or read book The Fermi-Pasta-Ulam Problem written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2007-11-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews the current understanding of the Fermi-Pasta-Ulam (FPU) Problem without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions lead the interested but inexperienced reader through gradual understanding, starting from general analysis and proceeding towards more specialized topics. The volume also includes a reprint of the original Fermi-Pasta-Ulam paper.
Author : M. I. Freidlin
Publisher : Springer Science & Business Media
ISBN 13 : 1468401769
Total Pages : 334 pages
Book Rating : 4.4/5 (684 download)
Download or read book Random Perturbations of Dynamical Systems written by M. I. Freidlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes.
Author : Matthew Cook
Publisher : Springer
ISBN 13 : 3319393006
Total Pages : 211 pages
Book Rating : 4.3/5 (193 download)
Download or read book Cellular Automata and Discrete Complex Systems written by Matthew Cook and published by Springer. This book was released on 2016-06-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed proceedings of the 22nd IFIP WG 1.5International Workshop on Cellular Automata and Discrete ComplexSystems, AUTOMATA 2016, held in Zurich, Switzerland, in June 2016. This volume contains 3 invited talks in full-paper length and 12 regularpapers, which were carefully reviewed and selected from a total of 23submissions. The papers feature research on all fundamental aspects of cellular automata and related discrete complex systems and deal with the following topics: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.
Author : Donald Andrew Dawson
Publisher : American Mathematical Soc.
ISBN 13 : 0821824619
Total Pages : 102 pages
Book Rating : 4.8/5 (218 download)
Download or read book Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions written by Donald Andrew Dawson and published by American Mathematical Soc.. This book was released on 1989 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large deviations for an exchangeable system of reversible diffusions in [double-struck]R[superscript italic]d are investigated in the limit when the number of particles tends to infinity with the objective of providing a methodology to study dynamical phase transitions, tunnelling and metastability for the class of mean field models in statistical physics.
