Logarithmic concavity of Schur and related polynomials

By June Huh, Jacob P. Matherne, Karola M'esz'aros, Avery St. Dizier. 2019

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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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/82f4cd0d0a7eea09dceebc32a352e4f8e3955571