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Explore the mathematical foundations of optimal transport theory in this 26-minute conference lecture that examines the Monge-Kantorovich problem with optimal transport cost considerations. Delve into advanced probabilistic mass transport concepts as presented during the Workshop on "Probabilistic Mass Transport - from Schrödinger to Stochastic Analysis" at the Erwin Schrödinger International Institute for Mathematics and Physics. Learn about the theoretical framework connecting optimal transport problems to stochastic analysis, with particular focus on how transport costs influence the classical Monge-Kantorovich formulation. Gain insights into cutting-edge research in mathematical probability theory and its applications to transport phenomena, suitable for graduate students and researchers in mathematics, probability theory, and related fields.
