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Ricci curvature of semigroup walks on graphs and generator representations
We present an operator-theoretic framework for the Ollivier--Ricci curvature of (one-parameter families of) random walks generated by positive semigroups on graphs. On a metrically complete graph $(G,d)$ that is $d$-locally finite, we introduce a class of admissible semigroup random walks whose infi
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