Statistical Mechanics Courses and Certifications

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)

Exact Three- and Four-Point Correlation Functions in O(n) and Potts Loop Models

Explore exact three- and four-point correlation functions in O(n) and Potts loop models, combining CFT symmetry, lattice discretization, and conformal bootstrap for insights into 2D conformally invariant systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Rotational Invariance of Planar Random Cluster Models and Beyond

Exploration of rotational invariance in planar random cluster models, discussing its applications and potential for new insights into critical models on Z^2.

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

Institute for Pure & Applied Mathematics (IPAM)

Local Weak Convergence for Random Constraint Satisfaction Problems

Explore local weak convergence in random constraint satisfaction problems with Princeton's Allan Sly, delving into advanced statistical mechanics concepts beyond two dimensions.

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

Institute for Pure & Applied Mathematics (IPAM)

The Arboreal Gas - Percolative Properties of Random Forests

Explore the percolative properties of random forests in the arboreal gas model, examining the formation of giant trees and its applications to branched polymer gelation.

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

Institute for Pure & Applied Mathematics (IPAM)

The Plaquette Random Cluster Model and Potts Lattice Gauge Theory

Explore phase transitions in Potts lattice gauge theory, focusing on Wilson loop expectations and their transition from area to perimeter law, using a generalized random cluster model approach.

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

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)

Frozen Boundaries and Their Fluctuations in the Square-Ice Model

Explore the emptiness formation probability in the six-vertex model, focusing on frozen boundaries and fluctuations in square-ice. Discover insights into arctic curves and the GUE Tracy-Widom distribution.

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

Simons Institute

Robust Equation Discovery and Sparse Sensing with Guarantees

Explore statistical mechanics for robust sparse equation discovery and optimal sensor placement, with applications in nuclear digital twins and high-dimensional field reconstruction.

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

Hausdorff Center for Mathematics

Kinetic Theory of Social Phenomena I

Explore statistical mechanics of multi-agent systems to explain distributions in human activities, focusing on skewed distributions in economics and social sciences.

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

International Centre for Theoretical Sciences

Replica Symmetry Breaking in Spin Glasses by Chandan Dasgupta

Explore replica symmetry breaking in spin glasses, covering key concepts, models, and experimental results. Gain insights into Parisi's Nobel Prize-winning work and its significance in statistical mechanics.

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

International Centre for Theoretical Sciences

Statistical Mechanics of Developed Turbulence - Lecture 1

Explore turbulence through statistical mechanics, covering energy cascades, Kolmogorov's hypotheses, and connections to phase transitions. Learn about predator-prey dynamics in pipe flow and directed percolation in laminar-turbulent transitions.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Mesoscopic Aspects of Classical Transport - Lecture 1

Explore mesoscopic aspects of classical transport, covering equilibrium models, time reversal, entropy, and non-equilibrium states. Gain insights into fluctuations in nonequilibrium systems and their applications.

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

ICTP-SAIFR

Markov Dynamics and Entropy Production in a Prandtl-Tomlinson Model for Friction

Explore Markov dynamics and entropy production in friction models, focusing on the Prandtl-Tomlinson approach. Gain insights into condensed matter theory and its applications.

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

ICTP-SAIFR

Phase Coexistence, Interface Tension and Convexity of Thermodynamic Potentials

Explore phase coexistence, interface tension, and thermodynamic potential convexity in condensed matter theory. Gain insights from expert Vera Bohomoletz Henriques.

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