Concept

Random cluster model

Related lectures (16)

Explores the Random Field Ising Model on random graphs, discussing belief propagation updates and population dynamics.

Random Field Ising Model: Overview and Analysis

Provides an in-depth analysis of the Random Field Ising Model, covering model description, free entropy, and mean field algorithm.

FK-Percolation and the Six-Vertex Model: Critical Phenomena

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

Partition Functions and Models

Explores partition functions in spin systems, models like Ising and Potts, computational challenges, and the Lee-Yang Theorem.

Proteins: Central Dogma and Translation

Explains protein synthesis, translation, and the central dogma of molecular biology.

Bethe Free Entropy

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.

Potts Model & Erdös-Renyi Degree

Discusses the Potts model on random graphs, belief propagation, and simplifying messages.

Protein Contact Prediction: Pseudolikelihoods and Potts Models

Covers protein contact prediction using Potts models and pseudolikelihood methods, comparing different approaches for contact prediction in proteins.

Potts Model: Introduction

Introduces the Potts model, a generalization of the Ising model used in statistical mechanics to study phase transitions.

Percolation Theory: FKG Inequality

Explores the FKG inequality in percolation theory and the reverse FKG theorem.

Random Field Ising Model

Covers the Random Field Ising Model, discussing the concept of disorder and the process of finding the ground state.

Constraint Satisfaction Problem

Covers the Random Constraint Satisfaction Problem and explores methods for solving constraint satisfaction problems.

Conformal Loop Ensembles: Connections to CFT

Explores the relationship between conformal loop ensembles and conformal field theory, focusing on the three-point nesting function and its mathematical derivation.

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

Magnetic Phase Transitions

Explores magnetic phase transitions, ferromagnetism, Bethe lattice, Potts model, and free entropy.

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