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20052022
most citedThe entropy per coordinate of a random vector is highly constrained under convexity conditions

84 citations · 508 across the 36 of their papers we have counts for

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math.PR2009★ 58 cited

Weighted Poincaré-type inequalities for Cauchy and other convex measures

Sergey G. Bobkov, Michel Ledoux

Brascamp--Lieb-type, weighted Poincaré-type and related analytic inequalities are studied for multidimensional Cauchy distributions and more general -concave probability measure…