Lecture

Cavity Method: Mean Field Theory

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In course

PHYS-435: Statistical physics III

This course introduces statistical field theory, and uses concepts related to phase transitions to discuss a variety of complex systems (random walks and polymers, disordered systems, combinatorial optimisation, information theory and error correcting cod ...

Description

This lecture covers the Cavity Method in the context of Mean Field Theory, focusing on neglecting correlations and analyzing the behavior of spins in an external field within a graph. The slides discuss the iterative process of the Cavity Method, the impact of external fields on spins, and the concept of neighbors in the graph. The lecture also delves into the application of the Cavity Method to spin glasses, exploring the convergence to fixed points and the role of belief propagation in information theory.

Official source

Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

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