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Monge's transport problem in the Heisenberg group

Luigi De Pascale·Severine Rigot
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Abstract

We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous with respect to the Haar measure of the group.

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Luigi De Pascale, Severine Rigot. 2010-01-22. Monge's transport problem in the Heisenberg group. https://arxiv.org/abs/1001.4012

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