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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 6, Pages 52–54 (Mi vmumm284)

This article is cited in 1 paper

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Ricci curvature of a weighted tree

O. V. Rubleva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A formula of coarse Ricci curvature for weighed trees with a random walk on vertex set is presented in the paper. A criterion of restoration of binary trees topology from the Ricci curvature matrix is obtained.

Key words: weighed trees, Ricci curvature, coarse Ricci curvature, transportation distance, random walk on metric spaces.

UDC: 514.774.8+515.124.4+519.17+519.224.22

Received: 28.11.2014


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015, 70:6, 278–279

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