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arXiv · 1903.10796

Liouville property and non-negative Ollivier curvature on graphs

Jürgen Jost·Florentin Münch·Christian Rose
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Abstract

For graphs with non-negative Ollivier curvature, we prove the Liouville property, i.e., every bounded harmonic function is constant. Moreover, we improve Ollivier's results on concentration of the measure under positive Ollivier curvature.

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Jürgen Jost, Florentin Münch, Christian Rose. 2019-03-26. Liouville property and non-negative Ollivier curvature on graphs. https://arxiv.org/abs/1903.10796

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