Weighted marginals of even concave functions are concave after a 1/(β+n) power for rotationally invariant log-concave measures, unifying the functional dimensional Brunn-Minkowski and B-inequalities under a new 'hereditary convexity' condition.
Entropy jumps in the presence of a spectral gap
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Concavity principles for weighted marginals
Weighted marginals of even concave functions are concave after a 1/(β+n) power for rotationally invariant log-concave measures, unifying the functional dimensional Brunn-Minkowski and B-inequalities under a new 'hereditary convexity' condition.