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.
To logconcavity and beyond / Ishige, Kazuhiro; Salani, Paolo; Takatsu, Asuka. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 22:(2020), pp. 0-0. [10.1142/S0219199719500093]
To logconcavity and beyond
Ishige, Kazuhiro;Salani, Paolo
;TAKATSU, ASUKA
2020
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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