Phase Transitions: Connectivity in Random Graphs

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Explores phase transitions in energy systems, including non-analytic behavior and the Ising model.

Introduces the Random-Subcube Model (RSM) for constraint satisfaction problems, exploring its structure, phase transitions, and variable freezing.

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

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

Explores phase transitions in two-dimensional systems and the critical behavior near transition points.

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

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.

Explores optimal detection in spinodal systems, discussing stability analysis and phase transitions.

Explores phase transitions, critical points, opalescence, and metastability in substances.