Glauber Dynamics Courses and Certifications

IEEE

Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction

Explore rapid mixing of Glauber dynamics in spin systems, focusing on the hardcore model and Ising model. Learn about uniqueness thresholds, MCMC methods, and self-avoiding walk trees.

• YouTube
• 27 minutes
• On-Demand
• Conference Talk

Centre International de Rencontres Mathématiques

Metastability of Glauber Dynamics with Inhomogeneous Coupling Disorder

Explore metastability in mean-field-like spin systems with random couplings, focusing on Glauber dynamics and quantitative estimates in large volumes at fixed temperatures.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Generalizations of Glauber and Metropolis Dynamics

Explore quantum generalizations of classical sampling dynamics with novel Lindbladian constructions, fast mixing proofs, and efficient DMRG variants for open quantum systems.

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

3Blue1Brown

The Math of Phase Change - Deriving the Boltzmann Formula and Defining Temperature

Explore the mathematical foundations of phase transitions through Boltzmann formulas, temperature definitions, and liquid-vapor simulations with interactive modeling.

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

Institut des Hautes Etudes Scientifiques (IHES)

Mathematical Foundation of Various MCMC Methods

Explore advanced MCMC methods for combinatorial optimization, including multi-spin flip techniques. Compare mathematical and numerical results to evaluate efficiency in different contexts.

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

Simons Institute

Localization Schemes

Explore innovative localization schemes for analyzing Markov chain mixing times in continuous and discrete spaces, with applications to Ising models and Glauber dynamics.

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

IEEE

Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model

Explore spectral independence in high-dimensional expanders and its application to the hardcore model, focusing on Glauber dynamics, complexity phase transitions, and future research directions.

• YouTube
• 26 minutes
• On-Demand
• Conference Talk

Paul G. Allen School

Theory Seminar - Spectral Independence in High-Dimensional Expanders, Kuikui Liu

Explore spectral independence in high-dimensional expanders and its application to the hardcore model, including rapid mixing of Glauber dynamics for generating random independent sets.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Convergence of the Ising-Kac Model to Φ4 in Three Dimensions

Explore the convergence of the Ising-Kac model to $\Phi^4$ in 3D, analyzing Glauber dynamics and applying regularity structure theory to discrete particle systems.

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

Simons Institute

When Do Dependencies in Your Data Help? - Emerging Generalization Settings

Explore how dependencies in data can overcome computational barriers in learning graphical models, using the Glauber dynamics process as a natural data generation method.

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

Centre International de Rencontres Mathématiques

Critical Dynamical Fluctuations in Reaction-Diffusion Processes

Explore critical dynamical fluctuations in one-dimensional reaction-diffusion processes at phase transition points, examining non-Gaussian density fluctuations and their scaling limits.

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

ACM SIGPLAN

Proving Expected Sensitivity of Probabilistic Programs

Explore advanced concepts in program sensitivity through EpRHL logic, focusing on probabilistic programs, expectation coupling, and practical applications in machine learning and Markov chains.

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

Institute for Pure & Applied Mathematics (IPAM)

Spectral Gap Estimates for the Random Field Ising Model - Lecture

Spectral gap estimates for random field Ising model: convergence rates, Glauber dynamics, Griffiths phase. Combines stochastic localization and percolation-theoretic coarse-graining techniques.

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