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In this 54-minute lecture, explore applications of transport in free probability theory presented by Dimitri Shlyakhtenko from the University of California, Los Angeles. Recorded on April 28, 2025, at IPAM's Dynamics of Density Operators Workshop, the talk delves into transport applications in free probability theory and examines an associated notion of dimension related to free entropy dimension and L^2 invariants. The presentation is part of the Institute for Pure & Applied Mathematics (IPAM) workshop series at UCLA. For more information about this workshop, visit the IPAM website.
