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• W3037598510 abstract "This paper extends the Bakry-Emery theorem connecting the Ricci curvature and log-Sobolev inequalities to the matrix-valued setting. Using tools from noncommuative geometry, it is shown that for a right invariant second order differential operator on a compact Lie group, a lower bound for a matrix-valued modified log-Sobolev inequality is equivalent to a uniform lower bound for all finite dimensional representations. Using combinatorial tools, we obtain computable lower bounds for matrix-valued log-Sobolev inequalities of graph-Hormander systems using combinatorial methods." @default.
• W3037598510 created "2020-07-02" @default.
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• W3037598510 date "2020-06-25" @default.
• W3037598510 modified "2023-09-27" @default.
• W3037598510 title "Graph Hormander Systems" @default.
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• W3037598510 hasPublicationYear "2020" @default.
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