@article{f67c5e1c9b904923b02b57b8e6c3f38d,
title = "To logconcavity and beyond",
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.",
keywords = "Logconcave functions, heat transfer, power logconcavity",
author = "Kazuhiro Ishige and Paolo Salani and Asuka Takatsu",
note = "Funding Information: The first author was supported in part by the Grant-in-Aid for Scientific Research (A)(No. 15H02058) from Japan Society for the Promotion of Science. The second author has been partially supported by INdAM through a GNAMPA Project. The third author was supported in part by the Grant-in-Aid for Young Scientists (B)(No. 15K17536) and the Grant-in-Aid for Scientific Research (C)(No. 16KT0132). Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",
year = "2020",
month = mar,
day = "1",
doi = "10.1142/S0219199719500093",
language = "English",
volume = "22",
journal = "Communications in Contemporary Mathematics",
issn = "0219-1997",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",
}