Gibbs Measures Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Thermodynamical Formalism and Geometric Applications - 3/3

Explore thermodynamical formalism and Gibbs measures for hyperbolic surface geodesic flows, with applications to entropy regularity and horocyclic flow analysis.

• YouTube
• 1 hour 13 minutes
• On-Demand
• 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
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Statistical Physics Approach to Asymptotic Enumeration and Large Deviations in Random Graphs - Part 2

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
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Ergodic Theory of the Geodesic Flow of Hyperbolic Surfaces - Lecture 1

Dive into the chaotic behavior of geodesic flow on hyperbolic surfaces through ergodic theory, exploring Gibbs measures and their product structure to understand geometric properties.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Ergodic Theory of the Geodesic Flow of Hyperbolic Surfaces - Lecture 2

Delve into the chaotic behavior of geodesic flow on hyperbolic surfaces through Gibbs measures, exploring their product structure and resulting geometric applications in this mathematical lecture.

• YouTube
• 1 hour 34 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística (2025)

1 review

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
• On-Demand
• 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
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística - Aula 20

Explore sistemas hamiltonianos, teoremas fundamentais e modelos estatísticos em mecânica estatística avançada. Aprofunde-se em conceitos como ensembles, medida de Gibbs e transições de fase.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Mecânica Estatística - Aula 02

Explore sistemas hamiltonianos, teoremas fundamentais e conceitos avançados em mecânica estatística. Aprofunde-se em modelos como Ising e FK, transições de fase e teoria de Pirogov-Sinai.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video