To logconcavity and beyond-Reference-Cited by-同舟云学术

To logconcavity and beyond

Published:2019-02-15 Issue:02 Volume:22 Page:1950009
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Ishige Kazuhiro¹,Salani Paolo²,Takatsu Asuka³

Affiliation:

1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

2. Dipartimento di Matematica “U. Dini”, Università di Firenze, viale Morgagni 67/A, Firenze 50134, Italy

3. Department of Mathematical Sciences, Tokyo Metropolitan University, Minami-osawa, Hachioji-shi, Tokyo 192-0397, Japan

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.

Funder

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199719500093

Reference16 articles.

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