Interacting Particle Systems Courses and Certifications

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

International Centre for Theoretical Sciences

Algorithms on Networks

Explore algorithms for network analysis, optimization, and control. Learn techniques for solving complex problems on graphs and networks, with applications in various fields.

• YouTube
• 53 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Spin Systems on Spatial Random Graphs

Explore spin systems on spatial random graphs, examining their properties, dynamics, and applications in network science and statistical physics.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Best Arm Identification Through Fluid-Based Methods

Explore fluid-based methods for best arm identification in multi-armed bandit problems. Learn innovative techniques to optimize decision-making in uncertain environments.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Well Posedness for Hamilton-Jacobi Equations for Linearly Controlled Gradient Flows

Explore well-posedness of Hamilton-Jacobi equations for linearly controlled gradient flows, examining mathematical foundations and applications in optimization and control theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course