Statistical Mechanics Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Poisson-Dirichlet Distribution for the Interchange Process in Five Dimensions

Explores the emergence of macroscopic cycles in the interchange process on high-dimensional tori, proving convergence to Poisson-Dirichlet distribution for cycle lengths in dimensions 4 and above.

• YouTube
• 47 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

Institute for Pure & Applied Mathematics (IPAM)

Distances in Hierarchical Percolation

Explore hierarchical percolation's behavior across dimensions, examining chemical, extremal, and pivotal distances in high and upper-critical dimensions through renormalization group analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Minimal Surfaces in Random Environment

Explore minimal surfaces in random environments, their geometric properties, and connections to disordered systems. Gain insights into surface delocalization, localization, and fluctuations across dimensions.

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

Institute for Pure & Applied Mathematics (IPAM)

Stability and Chaos in Dynamical Last Passage Percolation

Explore stability and chaos in dynamical last passage percolation, examining energy landscapes, ground states, and the transition from stability to chaos using probabilistic and geometric techniques.

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

Institute for Pure & Applied Mathematics (IPAM)

Gaussian Free Field and Schramm-Loewner Evolution - Part 2

Explore Gaussian free field and Schramm-Loewner Evolution in random geometry. Discover connections between these canonical objects and their applications in statistical physics and conformal field theory.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

From Random Tilings to Integrable Vertex Models - Part 2

Explore integrable vertex models, their applications to random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

From Random Tilings to Integrable Vertex Models - Part 1

Explore integrable vertex models, their applications in random growth and particle systems, and connections to random tilings and symmetric functions in this advanced mathematics lecture.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Conference GSI

Extensive Entropy Functionals and Non-Ergodic Random Walks

Explore extensive entropy functionals and non-ergodic random walks in statistical physics and complex systems.

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

PoreLab

Non-equilibrium Theory for Non-ergodic Systems Based on Time-and-Space Averaging

Explore non-equilibrium theory for non-ergodic systems using time-and-space averaging, focusing on internal energy dynamics and applications to immiscible fluid flow in porous media.

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

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Thermalization in Large Classical and Quantum Harmonic Systems

Explore the fascinating dynamics of thermalization processes in classical and quantum harmonic systems, examining their behavior and fundamental principles in complex physical environments.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

NYU Physics

The Origins of Life - A New Look from Physics at an Old Problem from Biology

Explore how physics approaches the origins of life, examining autocatalytic dynamics, protein evolution from random polymers, and pre-biological fitness concepts.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Stochastic Field Effects in the Ising Model - Symmetry Breaking and Symmetry Restoring

Explore stochastic field effects in the Ising model, examining how random fields break and restore symmetry in complex physical systems.

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

Galileo Galilei Institute (GGI)

Large Deviations of Non-Equilibrium Diffusive Systems - Lecture I

Explore large deviation theory applied to non-equilibrium diffusive systems through advanced mathematical physics concepts and statistical mechanics principles.

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

Galileo Galilei Institute (GGI)

Large Deviations of Non-Equilibrium Diffusive Systems - Lecture I

Explore large deviation theory applied to non-equilibrium diffusive systems through advanced mathematical physics concepts and statistical mechanics principles.

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