Gibbs Measures Courses and Certifications

IAS | PCMI Park City Mathematics Institute

Statistical Physics Approach to Asymptotic Enumeration and Large Deviations in Random Graphs - Part 1

Explore statistical physics tools like Gibbs measures and partition functions to solve asymptotic enumeration problems and analyze large deviations in random graphs.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Statistical Physics Approach to Asymptotic Enumeration and Large Deviations in Random Graphs - Part 3

Explore statistical physics tools like Gibbs measures and partition functions to solve asymptotic enumeration problems and analyze large deviations in random graphs.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Thermodynamical Formalism and Geometric Applications - 2/3

Explore thermodynamical formalism through Gibbs measures for hyperbolic surface geodesic flows and their applications to geometric problems like entropy regularity.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Thermodynamical Formalism and Geometric Applications - 1/3

Discover thermodynamical formalism through Gibbs measures for geodesic flows on hyperbolic surfaces, exploring their ergodic properties and geometric applications.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Euclidean Field Theories as Limit of Interacting Bose Gases

Explore the rigorous mathematical derivation of Euclidean field theories from interacting Bose gases, focusing on quartic interactions in two dimensions and extending previous torus results.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Phase Transitions and Mittag-Leffler Functions for Critical Schemes Under q-Enumeration

Explore phase transitions in combinatorial structures through q-enumeration, revealing Mittag-Leffler distributions at critical points and Gaussian behavior in supercritical regimes.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Simons Foundation

How Do Waves Propagate Randomness in Nature and Mathematical Models

Explore the mathematical foundations of wave dynamics and randomness propagation in nature, from quantum mechanics to atmospheric phenomena, with insights into statistical mechanics and quantum field theory.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Statistical Physics Approach to Asymptotic Enumeration and Large Deviations in Random Graphs - Part 5

Explore statistical physics tools like Gibbs measures and partition functions to solve asymptotic enumeration problems and analyze large deviations in random graphs.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Statistical Physics Approach to Asymptotic Enumeration and Large Deviations in Random Graphs - Part 4

Explore statistical physics tools like Gibbs measures and partition functions to solve asymptotic enumeration problems and analyze large deviations in random graphs.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Big Ideas In Dynamics

Thermodynamic Formalism and Conformal Iterated Function Systems

Explore advanced concepts in dynamical systems, focusing on thermodynamic formalism and conformal iterated function systems.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Geometry of the Doubly Periodic Aztec Dimer Model

Explore the geometry of the doubly periodic Aztec diamond dimer model, including arctic curves, amoeba, and local fluctuations in statistical mechanics and discrete geometry.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística (2025)

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Explore sistemas hamiltonianos, ensembles estatísticos, modelo de Ising e transições de fase nesta introdução abrangente à mecânica estatística pelo professor Hubert Lacoin do IMPA.

• YouTube
• 1 day 17 hours 24 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística (2023)

Explore sistemas hamiltonianos, ensembles estatísticos, modelo de Ising e transições de fase através de 20 aulas ministradas pelo Professor Hubert Lacoin no IMPA.

• YouTube
• 1 day 10 hours 52 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística - Aula 02

Explore advanced statistical mechanics concepts, from Hamiltonian systems and Liouville's theorem to phase transitions, Ising models, and Pirogov-Sinai theory in this graduate-level mathematics lecture.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística - Aula 01

Explore os fundamentos da mecânica estatística através de sistemas hamiltonianos, teoremas fundamentais e modelos matemáticos avançados, com foco em transições de fase e teoria de Pirogov-Sinai.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video