Free Probability and Free Transport - Part 2

Explore the second part of a comprehensive tutorial on "Free Probability and Free Transport" presented by Dima Shlyakhtenko at IPAM's Non-commutative Optimal Transport Tutorials at UCLA. This 1 hour 17 minute lecture, recorded on March 14, 2025, continues the introduction to Voiculescu's free probability theory, delving into various transport concepts within this framework and examining the Biane-Voiculescu extension of the Wasserstein distance. Discover applications to operator algebra problems as Shlyakhtenko builds upon the foundations established in the first part of this tutorial series. The presentation is part of the Institute for Pure & Applied Mathematics' program on Non-commutative Optimal Transport.