To logconcavity and beyond
classification
🧮 math.AP
math.FA
keywords
logconcavityconcavityflowheatpreservesbeyondbrascampfact
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In 1976 Brascamp and Lieb proved that the heat flow preserves logconcavity. In this paper, introducing a variation of concavity, we show that it preserves in fact a stronger property than logconcavity and we identify the strongest concavity preserved by the heat flow.
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