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arXiv · 1402.7328

Absolutely continuous curves in extended Wasserstein-Orlicz spaces

Stefano Lisini
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Abstract

In this paper we extend a previous result of the author [Lis07] of characterization of absolutely continuous curves in Wasserstein spaces to a more general class of spaces: the spaces of probability measures endowed with the Wasserstein-Orlicz distance constructed on extended Polish spaces (in general non separable), recently considered in [AGS14]. An application to the geodesics of this Wasserstein-Orlicz space is also given.

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Stefano Lisini. 2014-02-28. Absolutely continuous curves in extended Wasserstein-Orlicz spaces. https://arxiv.org/abs/1402.7328

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