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Super Ricci flows for weighted graphs and Markov chains

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Erbar, Matthias

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Super Ricci flows for weighted graphs and Markov chains
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Super Ricci flows for Markov chains
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31
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will present a discrete notion of super Ricci flow that applies to time dependent Markov chains or weighted graphs. This notion can be characterized equivalently in terms of a discrete time-dependent Bochner inequality, gradient estimates for the heat propagator on the evolving graph, contraction estimates in discrete transport distances, or dynamic convexity of the entropy. I will also discuss several examples.