Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution
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Conformal Invariance
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Author :
language : en
Publisher: Springer
Release Date : 2012-04-06
Conformal Invariance written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-06 with categories.
Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution
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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-05
Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution written by Malte Henkel 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 2012-04-05 with Science categories.
Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.
Advances In Disordered Systems Random Processes And Some Applications
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Author : Pierluigi Contucci
language : en
Publisher: Cambridge University Press
Release Date : 2017
Advances In Disordered Systems Random Processes And Some Applications written by Pierluigi Contucci 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 2017 with Science categories.
This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.
Physique Quantique Des Champs Et Des Transitions De Phase
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Author : Dragi Karevski
language : fr
Publisher: Editions Ellipses
Release Date : 2022-02-15
Physique Quantique Des Champs Et Des Transitions De Phase written by Dragi Karevski and has been published by Editions Ellipses this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-15 with Science categories.
Cet ouvrage propose une introduction pédagogique à la théorie quantique des champs et à la physique des transitions de phase notamment dans le régime quantique. Il propose plus de 50 exercices et problèmes corrigés.
Probability Geometry And Integrable Systems
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Author : Mark Pinsky
language : en
Publisher: Cambridge University Press
Release Date : 2008-03-17
Probability Geometry And Integrable Systems written by Mark Pinsky 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 2008-03-17 with Mathematics categories.
Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Random Walks And Geometry
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Author : Vadim Kaimanovich
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Random Walks And Geometry written by Vadim Kaimanovich and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik.
Schramm Loewner Evolution
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Author : Antti Kemppainen
language : en
Publisher: Springer
Release Date : 2017-12-22
Schramm Loewner Evolution written by Antti Kemppainen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Science categories.
This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the text in an example case. The book is based on a course (with the same title) lectured by the author. First three chapters are devoted to the background material, but at the same time, give the reader a good understanding on the overview on the subject and on some aspects of conformal invariance. The chapter on the Loewner equation develops in detail the connection of growing hulls and the differential equation satisfied by families of conformal maps. The Schramm–Loewner evolutions are defined and their basic properties are studied in the following chapter, and the regularity properties of random curves as well as scaling limits of discrete random curves are investigated in the final chapter. The book is aimed at graduate students or researchers who want to learn the subject fairly quickly.
Probability And Statistical Physics In Two And More Dimensions
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Author : Clay Mathematics Institute. Summer School
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Probability And Statistical Physics In Two And More Dimensions written by Clay Mathematics Institute. Summer School and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ``Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest.
Conformally Invariant Processes In The Plane
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Author : Gregory F. Lawler
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Conformally Invariant Processes In The Plane written by Gregory F. Lawler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Presents an introduction to the conformally invariant processes that appear as scaling limits. This book covers such topics as stochastic integration, and complex Brownian motion and measures derived from Brownian motion. It is suitable for those interested in random processes and their applications in theoretical physics.
Markov Processes And Related Fields
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Author :
language : en
Publisher:
Release Date : 2007
Markov Processes And Related Fields written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Markov processes categories.