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Optimal Transport, Regularity, and Branched Microstructures — NSF Award to Georgia Tech Research Corporation (GA, $204,069)

A great number of problems in physics, mathematics and other scientific disciplines are variational, that is, their solutions are obtained by optimizing cost or energy functions subject to certain constraints. A classical question, for instance, is concerned with the most efficient way to move resources from one place

Award titleOptimal Transport, Regularity, and Branched Microstructures
Award ID2453121
AwardeeGeorgia Tech Research Corporation
CityATLANTA
StateGA
Amount obligated$204,069
Principal investigatorTobias Ried
ProgramANALYSIS PROGRAM
Start date07/15/2025
AbstractA great number of problems in physics, mathematics and other scientific disciplines are variational, that is, their solutions are obtained by optimizing cost or energy functions subject to certain constraints. A classical question, for instance, is concerned with the most efficient way to move resources from one place to another. The mathematical theory addressing this is the theory of optimal transport. It has deep connections to analysis, geometry, and probability, and plays a central role in
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