Mean-Field Theory Courses and Certifications

Fields Institute

On the Limit Theory of Mean Field Optimal Stopping with Common Noise

Explore mean field optimal stopping with common noise, focusing on limit theory. Gain insights into mathematical finance concepts presented at the Eastern Conference.

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

ICTP-SAIFR

Complexity / Mean-field Theory - Class 1

Dive into complexity and mean-field theory with Letícia Cugliandolo's comprehensive lecture from the São Paulo School of Advanced Science on Disordered Systems.

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

ICTP-SAIFR

Complexity / Mean-field Theory - Class 3

Delve into complexity and mean-field theory with Letícia Cugliandolo's advanced lecture from the São Paulo School of Advanced Science on Disordered Systems.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Complexity / Mean-field Theory - Class 2

Delve into complexity and mean-field theory with Letícia Cugliandolo's comprehensive lecture from the São Paulo School of Advanced Science on Disordered Systems.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Inferring Mean-field Models from Microscale Observations - Strengths of a Weak Form

Discover weak-form inference methods for extracting macroscale equations from microscale data, including WSINDy algorithm applications to cell migration and particle simulations.

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

GERAD Research Center

Mean Field Limits of Heterogeneous Networks - Informal Systems Seminar

Explore mean field limits of heterogeneous networks, focusing on interacting particle systems coupled on digraphs and their macroscopic behavior. Gain insights into Vlasov equations and digraph measures.

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

Centre International de Rencontres Mathématiques

Sharp Propagation of Chaos

Discover sharp quantitative results on propagation of chaos for weakly interacting particle systems using new local relative entropy methods and connections to percolation theory.

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

Institute for Pure & Applied Mathematics (IPAM)

The Gibbs State of the Mean-Field Bose Gas

Delve into the mathematical analysis of the homogeneous mean-field Bose gas, exploring trace-norm approximation of the grand canonical Gibbs state and its implications for Bogoliubov theory at positive temperature.

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

Institut des Hautes Etudes Scientifiques (IHES)

Two Methods for Deriving Singular Mean-Field Limits

Explore two mathematical methods for deriving mean-field limits in systems with singular interactions like Coulomb forces, including modulated energy and multiscale mollification approaches.

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

Simons Foundation

Mean-Field Limits by the Modulated Energy Method

Explore mean-field limits for N-point systems with singular interactions using the modulated energy method, covering commutator estimates and global convergence.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Mean-Field Limits and the Multiscale Approach to Cell Movements

Explore mathematical models of collective cell movement under chemical stimuli, from discrete particle systems to macroscopic limits using mean-field theory and Wasserstein distance.

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

Institute for Pure & Applied Mathematics (IPAM)

Recent Progress on Mean-Field Dynamics of Coulomb/Riesz Gases

Explore mean-field dynamics of Coulomb/Riesz gases through entropy, energy, and functional inequalities to understand particle system convergence and chaos propagation.

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

ICTP-SAIFR

Synchronization in High Dimensions: Mean-Field Theory of Vector Spin Models on Networks with Arbitrary Degree Distributions

Explore high-dimensional synchronization through mean-field theory of vector spin models on networks, focusing on arbitrary degree distributions.

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

International Centre for Theoretical Sciences

Mean-Field Theory Insights into Neural Feature Dynamics - Lecture 2

Explore mean-field theory applications to neural feature dynamics and infinite-width networks through advanced mathematical frameworks and theoretical insights.

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

International Centre for Theoretical Sciences

Mean-Field Theory Insights into Neural Feature Dynamics - Lecture 1

Explore mean-field theory applications to neural feature dynamics and infinite-width networks through advanced mathematical frameworks and theoretical insights.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video