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arXiv · 1809.05648

To logconcavity and beyond

Kazuhiro Ishige·Paolo Salani·Asuka Takatsu
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Abstract

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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Kazuhiro Ishige, Paolo Salani, Asuka Takatsu. 2018-09-15. To logconcavity and beyond. https://doi.org/10.1142/s0219199719500093

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