The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, p
The Wulff crystal in Ising and percolation models: Ecole d'Ete de Probabilites de Saint-Flour XXXIV, 2004
✍ Scribed by Raphaël Cerf, Jean Picard
- Book ID
- 127423840
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 3 MB
- Series
- Lecture notes in mathematics 1878
- Edition
- 1
- Category
- Library
- City
- Berlin
- ISBN
- 3540348069
- ISSN
- 0075-8434
No coin nor oath required. For personal study only.
✦ Synopsis
This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.
📜 SIMILAR VOLUMES
Since the impressive works of Talagrand, concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn out to be essential tools to develop a non-asymptotic theory in statistics, exactly as the centra