Free Probability Courses and Certifications

Fields Institute

Optimal Transport Theory in Free Probability, Part II

Explore advanced concepts in free probability theory, focusing on optimal transport and its applications in operator algebras and random matrices.

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

Fields Institute

Optimal Transport Theory in Free Probability, Part I

Explore the intersection of optimal transport theory and free probability with David Jekel, delving into advanced mathematical concepts and their applications in operator algebras.

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

Fields Institute

Upgrading Subordination Properties in Free Probability

Explore advanced concepts in free probability theory, focusing on subordination properties and their applications in operator algebras and mathematical analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Limit Theorems in Finite Free Probability

Explore recent limit theorems in finite free probability, including techniques, implications, connections to empirical measure convergence of polynomial roots, and a new variational characterization of free convolutions.

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

Institute for Pure & Applied Mathematics (IPAM)

Schreier's Formula for some Free Probability Invariants

Delve into Schreier's Formula applications in free probability theory, exploring relationships between derivation spaces and entropy dimensions in von Neumann algebras with group actions.

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

Institute for Pure & Applied Mathematics (IPAM)

Horn's Problem and Free Probability

Explore the connection between Horn's problem on eigenvalues of matrix sums and free probability theory, examining how statistical physics and optimal transport arguments bridge deterministic and probabilistic perspectives.

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

Fields Institute

A Variational Approach to Free Probability

Explore a novel variational approach to free probability theory, examining its applications and implications in operator algebras and related mathematical fields.

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

Institute for Pure & Applied Mathematics (IPAM)

Relating Entropy and Wasserstein Distance in Free Probability

Explore the relationship between entropy and Wasserstein distance in free probability theory, focusing on displacement concavity and large-n behavior of random matrix models in this advanced mathematical presentation.

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

Institute for Pure & Applied Mathematics (IPAM)

Free Probability and Free Transport - Part 2

Delve into Voiculescu's free probability theory, exploring transport concepts, Wasserstein distance extensions, and applications to operator algebras in this advanced mathematical tutorial.

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

Institute for Pure & Applied Mathematics (IPAM)

Free Probability and Free Transport - Part 1

Dive into Voiculescu's free probability theory, exploring transport concepts, Wasserstein distance extensions, and applications to operator algebras in this mathematical tutorial.

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

Institut des Hautes Etudes Scientifiques (IHES)

Łukasiewicz Logic and Tsallis Entropy Connected with Free Projections in Probability Theory

Explore advanced connections between Łukasiewicz logic, Tsallis entropy, and free projections in noncommutative probability theory through rigorous mathematical analysis.

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

Fields Institute

Probability and Model Theory of Tracial von Neumann Algebras

Explore connections between free probability and model theory in von Neumann algebras, examining their interplay and applications in operator algebra research.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 3

Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 2

Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 1

Explore joint behavior of independent random tensor matrices with smaller symmetry groups. Learn about tensor structures, generalizations of free probability, and new analytical techniques.

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