Scaling & Renormalization in Statistical Mechanics

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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.

Statistical Field Theory

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

Cavity Method: Mean Field Theory

Explores the Cavity Method in Mean Field Theory, analyzing spins in an external field within a graph.

Renormalization Group: Universal Critical Exponents

Explores the universal critical exponents of microscopic systems and the role of the renormalization group.

Conservation of Energy: Work and Potential Energy

Explores conservative forces, work, and potential energy calculations.

Nonlinear Equations: Fixed Point Method Convergence

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Easing Model Conformal Theory: Scaling Limits and Correlations

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

Molecular Dynamics and Monte Carlo

Covers computational methods for molecular systems at finite temperature, emphasizing stochastic sampling and time evolution simulations.

Conservation of Energy in Mechanics

Explores work, energy, and conservation principles in mechanics through examples and experiments, emphasizing the optimization of paths for efficiency.