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.

Absolutely continuous curves in extended Wasserstein-Orlicz spaces

LISINI, STEFANO
2016-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/823046
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