Interacting Particle Systems Courses and Certifications

Instituto de Matemática Pura e Aplicada

Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 3

Explore hydrodynamic limits in interacting particle systems with advanced mathematical concepts and techniques. Gain insights into complex systems behavior at the doctorate level.

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

Instituto de Matemática Pura e Aplicada

Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 2

Explore hydrodynamic limits in interacting particle systems through advanced mathematical concepts. Gain insights into complex systems behavior and statistical mechanics.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

BIMSA

Interface and Its Fluctuation in Interacting Particle Systems - ICBS 2024

Explore particle separation in Glauber-Kawasaki dynamics, interface evolution, and fluctuations. Delve into extended research on anisotropic curvature flow and stochastic partial differential equations.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Quantitative Homogenization of Interacting Particle Systems

Explore quantitative homogenization of interacting particle systems with Jean-Christophe Mourrat. Gain insights into functional inequalities, optimal transport, and particle systems in this advanced mathematics lecture.

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

International Mathematical Union

Hydrodynamic Limit and Stochastic PDEs Related to Interface Motion

Explore interacting particle systems and their macroscopic behavior through hydrodynamic limits, deriving models for interface motion in phase separation, species segregation, and coupled KPZ equations.

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

International Centre for Theoretical Sciences

Introduction to Stochastic Processes by Sanjib Sabhapandit

Explore stochastic processes in this advanced lecture, covering key concepts and applications in statistical physics for graduate-level students and researchers.

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

Alan Turing Institute

Interacting Particle Systems for Expectation Maximization in Latent Variable Models

Explore a novel interacting particle system for EM optimization in latent variable models, featuring Langevin diffusion analysis and non-asymptotic concentration bounds for maximum likelihood estimation.

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

Hausdorff Center for Mathematics

Hydrodynamic Limits and Condensing Zero Range Processes

Explore hydrodynamic limits and condensing zero range processes in interacting particle systems. Learn about phase separation, relative entropy method, and non-closed hydrodynamic descriptions.

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

Hausdorff Center for Mathematics

Mean Field Limit by Gamma Convergence

Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.

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

Hausdorff Center for Mathematics

Ricci Curvature and Functional Inequalities for Interacting Particle Systems

Explore entropic Ricci curvature bounds and their applications to interacting particle systems, focusing on functional inequalities and convergence rates to equilibrium in nonnegative curvature scenarios.

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

ICTP Mathematics

Color-Position Symmetry in Interacting Particle Systems

Explore color-position symmetry in particle systems, covering probability, partition functions, and stochastic processes. Gain insights into ASEP and simulation techniques.

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

International Mathematical Union

KPZ Limit Theorems

Explores KPZ universality in particle systems, growth models, and polymers, discussing limit theorems, integrable methods, and recent results on periodic domains.

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

International Mathematical Union

Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis

Explore high-dimensional geometry through pathwise analysis, revealing simple structures in complex spaces and their applications in probability theory and statistical physics.

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

International Centre for Theoretical Sciences

Path Convergence of Markov Chains on Large Graphs

Explore path convergence of Markov chains on large graphs, examining theoretical aspects and applications in network science, probability theory, and complex systems analysis.

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

International Centre for Theoretical Sciences

Detecting Geometry in Networks

Explore methods for uncovering geometric structures in complex networks, focusing on innovative techniques and applications in network analysis and data science.

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