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Learn about a dynamical approach to multi-marginal optimal transport theory in this 33-minute conference talk delivered by Yair Shenfeld from Brown University at the Fields Institute. Explore the mathematical foundations and theoretical developments in extending classical optimal transport problems to multiple marginal distributions through a dynamical lens. Discover how this formulation provides new insights into the structure and properties of multi-marginal transport problems, which arise naturally in various applications including economics, probability theory, and mathematical physics. Gain understanding of the connections between dynamical systems and optimal transport theory, and examine how this perspective can lead to new computational approaches and theoretical results in the field of multi-marginal optimal transport.
Syllabus
A dynamical formulation of multi-marginal optimal transport
Taught by
Fields Institute