Conformal Invariance

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Publisher : Springer
ISBN 13 : 9783642279355
Total Pages : 208 pages
Book Rating : 4.5X/5 ( download)

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Book Synopsis Conformal Invariance by :

Download or read book Conformal Invariance written by and published by Springer. This book was released on 2012-04-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

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Publisher : Springer Science & Business Media
ISBN 13 : 3642279333
Total Pages : 200 pages
Book Rating : 4.31/5 ( download)

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Book Synopsis Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution by : Malte Henkel

Download or read book Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2012-04-04 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642279341
Total Pages : 200 pages
Book Rating : 4.48/5 ( download)

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Book Synopsis Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution by : Malte Henkel

Download or read book Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2012-04-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Cambridge University Press
ISBN 13 : 1107124107
Total Pages : 383 pages
Book Rating : 4.03/5 ( download)

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Book Synopsis Advances in Disordered Systems, Random Processes and Some Applications by : Pierluigi Contucci

Download or read book Advances in Disordered Systems, Random Processes and Some Applications written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2016-12-15 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conformally Invariant Processes in the Plane

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846248
Total Pages : 258 pages
Book Rating : 4.47/5 ( download)

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Book Synopsis Conformally Invariant Processes in the Plane by : Gregory F. Lawler

Download or read book Conformally Invariant Processes in the Plane written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 2008 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Probability, Geometry and Integrable Systems

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Publisher : Cambridge University Press
ISBN 13 : 0521895278
Total Pages : 405 pages
Book Rating : 4.79/5 ( download)

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Book Synopsis Probability, Geometry and Integrable Systems by : Mark Pinsky

Download or read book Probability, Geometry and Integrable Systems written by Mark Pinsky and published by Cambridge University Press. This book was released on 2008-03-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.

Random Walks and Geometry

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Publisher : Walter de Gruyter
ISBN 13 : 3110198088
Total Pages : 545 pages
Book Rating : 4.89/5 ( download)

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Book Synopsis Random Walks and Geometry by : Vadim Kaimanovich

Download or read book Random Walks and Geometry written by Vadim Kaimanovich and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer
ISBN 13 : 3319653296
Total Pages : 145 pages
Book Rating : 4.97/5 ( download)

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Book Synopsis Schramm–Loewner Evolution by : Antti Kemppainen

Download or read book Schramm–Loewner Evolution written by Antti Kemppainen and published by Springer. This book was released on 2017-12-22 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : American Mathematical Soc.
ISBN 13 : 0821868632
Total Pages : 481 pages
Book Rating : 4.38/5 ( download)

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Book Synopsis Probability and Statistical Physics in Two and More Dimensions by : Clay Mathematics Institute. Summer School

Download or read book Probability and Statistical Physics in Two and More Dimensions written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2012 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Selected Works of Oded Schramm

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Publisher : Springer Science & Business Media
ISBN 13 : 1441996753
Total Pages : 1199 pages
Book Rating : 4.56/5 ( download)

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Book Synopsis Selected Works of Oded Schramm by : Itai Benjamini

Download or read book Selected Works of Oded Schramm written by Itai Benjamini and published by Springer Science & Business Media. This book was released on 2011-08-12 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of the late Oded Schramm (1961-2008), distinguished mathematician. Throughout his career, Schramm made profound and beautiful contributions to mathematics that will have a lasting influence. In these two volumes, Editors Itai Benjamini and Olle Häggström have collected some of his papers, supplemented with three survey papers by Steffen Rohde, Häggström and Cristophe Garban that further elucidate his work. The papers within are a representative collection that shows the breadth, depth, enthusiasm and clarity of his work, with sections on Geometry, Noise Sensitivity, Random Walks and Graph Limits, Percolation, and finally Schramm-Loewner Evolution. An introduction by the Editors and a comprehensive bibliography of Schramm's publications complete the volume. The book will be of especial interest to researchers in probability and geometry, and in the history of these subjects.