Correlated Random Systems: Five Different Methods CIRM Jean-Morlet Chair, Spring 2013 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gayrard, Véronique (Editor), Kistler, Nicola (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Lecture Notes in Mathematics, 2143
• Subjects: Mathematics.; Probabilities.; Physics.; Statistical physics.; Dynamical systems.; Probability Theory and Stochastic Processes.; Mathematical Methods in Physics.; Statistical Physics, Dynamical Systems and Complexity.

This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a series of lectures delivered within the Jean-Mor...

Table of Contents:

• 1 Random Polymers
• 2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems
• 3 Derrida’s random energy models: from spin glasses to the extremes of correlated random fields
• 4 Isomorphism Theorems: Markov processes, Gaussian processes and beyond
• 5 Spectral properties of Wigner matrices.