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2017 | OriginalPaper | Buchkapitel

Interpolation of Probability Measures on Graphs

verfasst von : Erwan Hillion

Erschienen in: Convexity and Concentration

Verlag: Springer New York

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Abstract

These notes are a review of the author’s works about interpolation of probability measures on graphs via optimal transportation methods. We give more detailed proofs and constructions in the particular case of an interpolation between two finitely supported probability measures on \(\mathbb{Z}\), with a stochastic domination assumption. We also present other types of interpolations, in particular Léonard’s entropic interpolations and discuss the relationships between these constructions.

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Metadaten
Titel
Interpolation of Probability Measures on Graphs
verfasst von
Erwan Hillion
Copyright-Jahr
2017
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4939-7005-6_1

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