Abstract for the talk at 05.12.2013 (11:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Simone Di Marino (Scuola Normale Superiore, Pisa)
Optimal trasportation on the real line: the multimarginal case.
There will be an introduction to classical (2 marginal) optimal trasport problem in 1-dimension, with the solution in the strictly convex case. Then the multimarginal problem in one dimension for a symmetric, repulsive convex cost function is treated, showing the existence of an optimal map also in this case.