Lectures related to Currents in the O(n) Model: Conformal Field Theory Insights

Renormalization Group in Field Theory

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

Renormalization & Scaling

Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.

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.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Easing Model Conformal Theory: Scaling Limits and Correlations

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

Critical Exponents from RG

Covers CFT, gravity, phase transitions, critical exponents, and RG formalism.

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Advanced Probabilities: Random Variables & Expected Values

Explores advanced probabilities, random variables, and expected values, with practical examples and quizzes to reinforce learning.

Conformal Field Theories: Review and Scaling

Covers statistical mechanics, conformal field theories, and critical exponents, emphasizing the importance of universality and renormalization group flows.

Probability and Statistics

Introduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.

Correlation Functions in Loop Models: Structural Assumptions

Covers correlation functions in loop models and the role of degenerate fields in conformal field theory.

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.

Probability Theory: Midterm Solutions

Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.

Random Variables and Expected Value

Introduces random variables, probability distributions, and expected values through practical examples.

Statistical Field Theory

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

Transformations of Joint Densities

Covers the transformations of joint continuous densities and their implications on probability distributions.

Probability and Statistics

Covers probability distributions, moments, and continuous random variables.

Compactified Imaginary Liouville Theory: Scaling Limits and Challenges

Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.

Conditional Density and Expectation

Covers conditional density, independence of random variables, expectation, and variance calculation.