@article{25a153fb4d974905a0ae39d693691552,
title = "LOGARITHMIC CONCAVITY OF SCHUR AND RELATED POLYNOMIALS",
abstract = "We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.",
keywords = "Lorentzian polynomials, Schur polynomials, log-concavity, weight multiplicities",
author = "June Huh and Matherne, {Jacob P.} and Karola M{\'e}sz{\'a}ros and Dizier, {Avery S.T.}",
note = "Funding Information: The first author received support from NSF Grant DMS-1638352 and the Ellentuck Fund. The second author received support from NSF Grant DMS-1638352, the Association of Members of the Institute for Advanced Study, the Hausdorff Research Institute for Mathematics, and the Deutsche Forschungsgemeinschaft (DFG) under Germany{\textquoteright}s Excellence Strategy - GZ 2047/1, Projekt-ID 390685813. The third author received support from NSF Grant DMS-1501059, CAREER NSF Grant DMS-1847284, and a von Neumann Fellowship funded by the Friends of the Institute for Advanced Study. The fourth author received support from NSF Grant DMS-2002079. Publisher Copyright: {\textcopyright} 2022 American Mathematical Society",
year = "2022",
month = jun,
day = "1",
doi = "10.1090/tran/8606",
language = "English (US)",
volume = "375",
pages = "4411--4427",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "6",
}