Curie-Weiss Model

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Information Theory Basics

Introduces information theory basics, including entropy, independence, and binary entropy function.

Source Coding Theorem

Explores the Source Coding Theorem, entropy, Huffman coding, and conditioning's impact on entropy reduction.

Local Fields and Correlations in Ising Models

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

Statistical Field Theory

Covers the basics of statistical field theory, focusing on Ising models and the Ginsburg-Landau theory.

Energy Minimization in Biological Systems: Equilibrium Models

Covers energy minimization models in biological systems, focusing on equilibrium and the roles of entropy and hydrophobicity.

Replica Symmetry Breaking: Full Solution & Condensation

Explores Replica Symmetry Breaking in the Random Energy Model, discussing configurational entropy and condensation.

Random Walks and Moran Model in Population Genetics

Explores random walks, Moran model, bacterial chemotaxis, entropy, information theory, and coevolving sites in proteins.

Phase Transitions in the Ising Model

Explores phase transitions in the Ising model, mean magnetization, susceptibility, critical exponents, and the universality of critical exponents.

Density of States and Bayesian Inference in Computational Mathematics

Explores computing density of states and Bayesian inference using importance sampling, showcasing lower variance and parallelizability of the proposed method.

Renormalization Group in Field Theory

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.