Transport and Concentration Problems with Interaction Effects

Details Transport and Concentration Problems with Interaction Effects Transport and Concentration Problems with Interaction Effects

2005-08-11

arxiv.org/abs/math/0508209v1

Mathematics

Optimization and Control

12 pages

Scientific paper

After presenting an overview about variational problems on probability
measures for functionals involving transport costs and extra terms encouraging
or discouraging concentration, we look for optimality conditions, regularity
properties and explicit computations in the case where Wasserstein distances
and interaction energies are considered.

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