Titlebook: A Journey Through Discrete Mathematics; A Tribute to Jiří Ma Martin Loebl,Jaroslav Nešetřil,Robin Thomas Book 2017 Springer International p

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Janina Kutzner,Thomas Gerlingerr every .. In words, transitions only occur between neighboring points of the graph. Suppose further that . has coarse Ricci curvature at least 1∕. in the sense of Ollivier: For all ., it holds that . where .. denotes the Wasserstein 1-distance..In this note, we derive a transport-entropy inequality

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978-3-319-83062-9Springer International publishing AG 2017

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Schlussbetrachtung und Ausblick,Given a finite point set ., we call a multiset . a . for . (with respect to convex sets), if . for every convex set ...We show that, in contrast with the usual (two-sided) weak .-approximants, for every set . there exists a one-sided weak .-approximant of size bounded by a function of . and ..