Lectures related to Definition of a Gibbs measures

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

Explores spherical symmetry in statistical mechanics and its role in phase transitions.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Covers exercises on attaching 1-cells to intervals in topology.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Covers the Curie-Weiss model, discussing its theoretical foundations and practical applications in physical systems.

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Covers the fundamentals of statistical mechanics, including system parameters, variables, and thermal equilibrium.

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

Covers homotopy, quotient spaces, and the universal property in topology.

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Covers open and faded subspaces in topology with examples and exercises.

Explores quasilocality in statistical mechanics and the existence conditions of Gibbs measures.

Covers the definition of edges, vertices, and cells in geometric shapes.

Covers the theoretical background and applications of the 3-state Ising model.

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).