Probability And Statistical Physics In Two And More Dimensions
Download Probability And Statistical Physics In Two And More Dimensions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Probability And Statistical Physics In Two And More Dimensions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Probability and Statistical Physics in Two and More Dimensions
Author: Clay Mathematics Institute. Summer School
language: en
Publisher: American Mathematical Soc.
Release Date: 2012
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.
Probability and Statistical Physics in St. Petersburg
Author: V. Sidoravicius
language: en
Publisher: American Mathematical Soc.
Release Date: 2016-04-28
This book brings a reader to the cutting edge of several important directions of the contemporary probability theory, which in many cases are strongly motivated by problems in statistical physics. The authors of these articles are leading experts in the field and the reader will get an exceptional panorama of the field from the point of view of scientists who played, and continue to play, a pivotal role in the development of the new methods and ideas, interlinking it with geometry, complex analysis, conformal field theory, etc., making modern probability one of the most vibrant areas in mathematics.
The Genesis of the Langlands Program
Author: Julia Mueller
language: en
Publisher: Cambridge University Press
Release Date: 2021-08-05
A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.