Poincaré Inequalities and Moment Maps
Copyright policy )Poincaré Inequalities and Moment Maps
We discuss a method for obtaining Poincaré-type inequalities on arbitrary convex bodies in ℝ n . Our technique involves a dual version of Bochner’s formula and a certain moment map, and it also applies to some non-convex sets. In particular, we generalize the central limit theorem for convex bodies to a class of non-convex domains, including the unit balls of ℓ p -spaces in ℝ n for 0<p<1.
- Tel Aviv University Israel
Central limit and other weak theorems, Metric Geometry (math.MG), Poincaré inequalities, moment map, log-concave functions, Functional Analysis (math.FA), Mathematics - Spectral Theory, Mathematics - Functional Analysis, \(l_p\) norm, Mathematics - Metric Geometry, regularity at infinity, Inequalities and extremum problems involving convexity in convex geometry, FOS: Mathematics, dual Bochner formula, convex bodies, Spectral Theory (math.SP)
Central limit and other weak theorems, Metric Geometry (math.MG), Poincaré inequalities, moment map, log-concave functions, Functional Analysis (math.FA), Mathematics - Spectral Theory, Mathematics - Functional Analysis, \(l_p\) norm, Mathematics - Metric Geometry, regularity at infinity, Inequalities and extremum problems involving convexity in convex geometry, FOS: Mathematics, dual Bochner formula, convex bodies, Spectral Theory (math.SP)
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