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Gamma two

I realized this week that my former PhD advisor has spent a significant amount of his  research time juggling with the Talagrand $\gamma_2$ and the Bakry-Émery $\Gamma_{\!\!2}$. He belongs to this very small set of individuals versed in these two universes, between analysis, geometry, and probability. The link is clearly the Gaussian law. It might be amusing to connect the two in a deep statement.

Recently, a kind of Bakry-Émery $\Gamma_2$ was developed for Markov chains on metric spaces.

More recently, the Talagrand $\gamma_2$ was used successfully for random walks on graphs.

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