Ising Model: Critical Behavior and Universal Classes

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Covers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.

Covers copulas, dependence structures, simulation techniques, and properties of copula densities.

Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Explores the renormalization group applied to the Ising model and the derivation of the central limit theorem.

Covers universality and rotational invariance in isoradial graphs and their implications in statistical mechanics.

Explores phase transitions in thermodynamics, emphasizing competition between phases controlled by temperature and the concept of universality.

Covers copulas, Sklar's Theorem, types of copulas, and simulation of copulas for risk management.

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

Explains estimation, correlation, and Pearson correlation in statistics, focusing on measuring and describing relationships between variables.