Conformal Invariance
Title | Conformal Invariance PDF eBook |
Author | |
Publisher | Springer |
Total Pages | 208 |
Release | 2012-04-06 |
Genre | |
ISBN | 9783642279355 |
Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution
Title | Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution PDF eBook |
Author | Malte Henkel |
Publisher | Springer Science & Business Media |
Total Pages | 200 |
Release | 2012-04-04 |
Genre | Language Arts & Disciplines |
ISBN | 3642279333 |
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
Title | Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution PDF eBook |
Author | Malte Henkel |
Publisher | Springer Science & Business Media |
Total Pages | 200 |
Release | 2012-04-05 |
Genre | Science |
ISBN | 3642279341 |
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
Title | Advances in Disordered Systems, Random Processes and Some Applications PDF eBook |
Author | Pierluigi Contucci |
Publisher | Cambridge University Press |
Total Pages | 383 |
Release | 2016-12-15 |
Genre | Science |
ISBN | 1107124107 |
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
Title | Conformally Invariant Processes in the Plane PDF eBook |
Author | Gregory F. Lawler |
Publisher | American Mathematical Soc. |
Total Pages | 258 |
Release | 2008 |
Genre | Mathematics |
ISBN | 0821846248 |
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
Title | Probability, Geometry and Integrable Systems PDF eBook |
Author | Mark Pinsky |
Publisher | Cambridge University Press |
Total Pages | 405 |
Release | 2008-03-17 |
Genre | Mathematics |
ISBN | 0521895278 |
Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Random Walks and Geometry
Title | Random Walks and Geometry PDF eBook |
Author | Vadim Kaimanovich |
Publisher | Walter de Gruyter |
Total Pages | 545 |
Release | 2008-08-22 |
Genre | Mathematics |
ISBN | 3110198088 |
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.