Stability Theory Courses and Certifications

Instituto de Matemática Pura e Aplicada

Variational Formulations of Fokker-Planck Equations: Theory and Applications to Stability - Lecture 1

Explore variational formulations of Fokker-Planck equations, focusing on theory and applications to stability. Gain insights into advanced mathematical concepts at the doctorate level.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Steve Brunton

Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

Learn to solve systems of linear ODEs using eigenvalues and eigenvectors. Covers problem setup, solution methods, and intuitive interpretation, with code examples in Python and MATLAB.

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

Institute for Advanced Study

Stability and Testability - A Computational Perspective

Explore advanced mathematical concepts connecting group theory, approximation theory, and computational complexity through expert lectures on stability and testability.

• YouTube
• 1 day 4 hours 31 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

Explore Wasserstein distributionally robust optimization theory and its applications in machine learning, focusing on data-driven decision-making under uncertainty and statistical learning.

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

The Royal Institution

Catastrophe Theory and Psychology - 1978 Christmas Lectures 6/6

Explore how gradually changing variables produce sudden effects through catastrophe theory, from mathematical models to applications in physics and psychology including mood changes.

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

Fields Institute

Tame Control Theory - Lecture 5

Explore advanced concepts in tame control theory, focusing on phenomena over real fields. Delve into graduate-level mathematical analysis and applications.

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

Fields Institute

Invariant Measures in Simple Theories

Explore invariant measures in simple theories, delving into advanced concepts in model theory and their applications in mathematical logic and related fields.

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

Applied Algebraic Topology Network

Stable and Consistent Density-Based Clustering

Explore stable and consistent density-based clustering methods, including a novel 3-parameter hierarchical approach. Learn about stability theorems and their applications in various clustering algorithms.

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

Applied Algebraic Topology Network

Stabilizing Decomposition of Multiparameter Modules

Explores stability theories for multiparameter module decomposition, addressing challenges and presenting recent findings. Discusses potential strengthening of stability results for staircase decomposable modules.

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

Applied Algebraic Topology Network

L-P Metrics on Multiparameter Persistence Modules

Explores generalizations of p-Wasserstein distance for multi-parameter persistence modules, introducing d_I^p and d_M^p metrics. Examines their properties and applications in topological data analysis.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Mathematical Union

Hydrodynamic Stability at High Reynolds Number and Transition Threshold Problem

Explores hydrodynamic stability theory, focusing on laminar flow instability and turbulence transition at high Reynolds numbers. Discusses key physical effects and recent progress in linear inviscid damping and enhanced dissipation for shear flows.

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

Fields Institute

Stability and Lifting Properties for C*-algebras and Groups - Lecture 3

Explore stability and lifting properties in C*-algebras and groups, delving into advanced mathematical concepts with expert insights from Tatiana Shulman.

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

Fields Institute

Stability and Lifting Properties for C*-algebras and Groups - Lecture 2

Explore stability and lifting properties in C*-algebras and groups, delving into advanced mathematical concepts with expert insights from Tatiana Shulman.

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

Fields Institute

Stability and Lifting Properties for C*-Algebras and Groups - Lecture 1

Explore stability and lifting properties in C*-algebras and groups, focusing on advanced mathematical concepts and their applications in operator theory.

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