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  Logarithmic concavity of Schur and related polynomials

Huh, J., Matherne, J. P., Mészáros, K., & Dizier, A. S. (2022). Logarithmic concavity of Schur and related polynomials. Transactions of the American Mathematical Society, 375(6), 4411-4427. doi:10.1090/tran/8606.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-75CA-F Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1B88-B
Genre: Journal Article

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1906.09633.pdf (Preprint), 534KB
 
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 Creators:
Huh, June, Author
Matherne, Jacob P.1, Author           
Mészáros, Karola, Author
Dizier, Avery St., Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Combinatorics, Algebraic Geometry, Representation Theory
 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.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 17
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1906.09633
DOI: 10.1090/tran/8606
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Title: Transactions of the American Mathematical Society
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 375 (6) Sequence Number: - Start / End Page: 4411 - 4427 Identifier: -