Gibbs Measures Courses and Certifications

Simons Semester on Dynamics

Entropy and Gibbs Measures for Hyperbolic Systems - Lecture 2

Explore the intricacies of entropy and Gibbs measures for hyperbolic systems in this comprehensive lecture by Mark Pollicott from the University of Warwick. Delve into classical examples of hyperbolic systems, including toral automorphisms and geodesic f…

• YouTube
• 49 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

One-Parameter Families of Hyperbolic Iterated Function Systems on the Line - Lecture 2B

Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their geometric characteristics.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

One-Parameter Families of Hyperbolic Iterated Function Systems on the Line - Lecture 2A

Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their geometric characteristics in mathematical dynamics.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

The Gibbs Measure of the Renormalized Two Dimensional Stochastic Gross-Pitaevskii

Explore the construction of Gibbs measures for the renormalized 2D stochastic Gross-Pitaevskii equation, a mean-field model for Bose-Einstein condensates near critical temperature.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Gibbs Measures and Propagation of Randomness in Nonlinear Dispersive PDE

Explore Gibbs measures and randomness propagation in nonlinear dispersive PDE flows with Andrea R. Nahmod. Gain insights into advanced mathematical concepts and their applications in this engaging seminar.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Invariant Gibbs Measures for 2D NLS and 3D Cubic NLW

Explore recent developments in randomness propagation for dispersive PDE, focusing on Gibbs measure invariance for 2D NLS and 3D cubic NLW, using advanced mathematical techniques.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

One-sided Multifractal Analysis of Gibbs Measures on the Line

Explore one-sided multifractal analysis of Gibbs measures on the line. Delve into advanced mathematical concepts with De-Jun Feng's in-depth conference talk from the CIRM thematic meeting.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Entropy and Gibbs Measures for Hyperbolic Systems - Lecture 1

Explore hyperbolic systems, entropy, and Gibbs measures. Delve into classical examples, SRB measures, mixing speeds, and geodesic flows. Examine random walks in hyperbolic space and related concepts.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

International Mathematical Union

Mean-Field Limits for Quantum Systems and Nonlinear Gibbs Measures

Explore quantum systems, Bose-Einstein condensation, and nonlinear Gibbs measures in this advanced mathematics lecture on mean-field limits and symmetry-induced independence.

• YouTube
• 45 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Simons Semester on Dynamics

One-Parameter Families of Hyperbolic Iterated Function Systems on the Line - Lecture 3

Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their applications in measure theory and dynamics.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Károly Simon (Budapest University of Technology and Economics), lecture 1

Syllabus: Károly Simon (Budapest University of Technology and Economics), lecture 1

• YouTube
• 1 hour 33 minutes
• On-Demand
• 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
• On-Demand
• 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
• 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