To logconcavity and beyond

Kazuhiro Ishige, Paolo Salani, Asuka Takatsu

Research output: Contribution to journalArticle


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.

Original languageEnglish
Article number1950009
JournalCommunications in Contemporary Mathematics
Issue number2
Publication statusPublished - 2020 Mar 1
Externally publishedYes


  • heat transfer
  • Logconcave functions
  • power logconcavity

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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