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• W2014128112 abstract "The problem of correctly defining geometric objects, such as the curvature, is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs. He named it coarse Ricci curvature because it coincides, up to some given factor, with the classical Ricci curvature, when the space is a smooth manifold. Lin, Lu and Yau and Jost and Liu have used and extended this notion for graphs, giving estimates for the curvature and, hence, the diameter, in terms of the combinatorics. In this paper, we describe a method for computing the coarse Ricci curvature and give sharper results, in the specific, but crucial case of polyhedral surfaces." @default.
• W2014128112 created "2016-06-24" @default.
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• W2014128112 date "2014-03-06" @default.
• W2014128112 modified "2023-09-26" @default.
• W2014128112 title "Ricci Curvature on Polyhedral Surfaces via Optimal Transportation" @default.
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• W2014128112 doi "https://doi.org/10.3390/axioms3010119" @default.
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