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AJS - Bardelloni

Speaker: 
Mauro Bardelloni
Institution: 
SISSA
Schedule: 
Wednesday, April 30, 2014 - 16:30 to 17:30
Location: 
A-133
Abstract: 

Title: Optimal transportation and Sudakov’s type decomposition

Abstract:I will briefly present an introduction to optimal transportation problem. I will mainly focus on the definitions of potentials and c-monotonicity. These objects are linked to the optimality of a transference plans, in particular the existence of potentials allows to simplify the problem and to find solutions. Indeed, problems may arise when potentials do not exists. In the last part I will sketch what is a Sudakov’s type decomposition of transference plans and i will show how to simplify a convex cost problem by means of this technique. Moreover, in order to iterate this procedure and find a solution, I will show how to overcome the lack of potential throughout the existence of a preorder.

This seminar is part of the AJS series of seminars.

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