Equality in Borell–Brascamp–Lieb inequalities on curved spaces
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DOI: 10.1016/j.aim.2018.09.041
Abstract: By using optimal mass transportation and a quantitative Holder inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds. Accordingly, equality cases in Borell-Brascamp-Lieb inequalities (including Brunn-Minkowski and Prekopa-Leindler inequalities) are characterized in… read more here.
Keywords: equality borell; borell brascamp; lieb inequalities; brascamp lieb ... See more keywords
Unifying the Brascamp-Lieb Inequality and the Entropy Power Inequality
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DOI: 10.1109/tit.2022.3192913
Abstract: The entropy power inequality (EPI) and the Brascamp-Lieb inequality (BLI) are fundamental inequalities concerning the differential entropies of linear transformations of random vectors. The EPI provides lower bounds for the differential entropy of linear transformations… read more here.
Keywords: power inequality; lieb inequality; brascamp lieb; entropy ... See more keywords