Coarse Graining in Statistical Physics

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Renormalization Group: Ising Model

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

Block Spin Renormalization

Introduces block spin renormalization and scaling variables in the Ising model, focusing on RG fixed points and critical exponents.

Conformal Field Theories: Review and Scaling

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

Statistical Field Theory

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

Local structure of totally disconnected locally compact groups III

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Scaling of Free Energy

Explores the scaling of free energy, Renormalization Group flow, Ising model, critical exponents, and scaling relations.

Fundamental Groups

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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Irreducible Representations of Rotations Group

Explores irreducible representations of the rotations group and their mathematical properties.

Conformal Transformations: Theory and Applications

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.