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Statistical Mechanics of Mean-Field Disordered Systems : A Hamilton-Jacobi Approach / Tomas Dominguez, Jean-Christophe Mourrat.
- Format:
- Book
- Author/Creator:
- Domínguez Mínguez, Tomás, author.
- Mourrat, Jean-Christophe, author.
- Language:
- English
- Subjects (All):
- Statistical mechanics.
- Statistical mechanics--Mathematical models.
- Physical Description:
- 1 online resource
- Place of Publication:
- Berlin : European Mathematical Society - EMS - Publishing House GmbH, 2024.
- Summary:
- The goal of this book is to present new mathematical techniques for studying the behavior of mean-field systems with disordered interactions. We mostly focus on certain problems of statistical inference in high dimension, and on spin glasses. The techniques we present aim to determine the free energy of these systems, in the limit of large system size, by showing that they asymptotically satisfy a Hamilton-Jacobi equation.
- Contents:
- Frontmatter
- Contents
- Overview
- Introduction to statistical mechanics
- Convex analysis and large deviation principles
- Hamilton-Jacobi equations
- Statistical inference
- Poisson point processes and extreme values
- Mean-field spin glasses
- Basic results in analysis and probability
- Solutions to exercises
- References
- References.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-9854757-4-1
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