Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings

DOI10.1017/S0963548321000468OpenAlexW3205666188MaRDI QIDQ5886333

Martin Tassy, Igor Pak, Alejandro H. Morales

Publication date: 31 March 2023

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00992

zbMATH Keywords

asymptoticsvariational principlestandard tableauxEuler numberslozenge tilingsskew shapesNaruse hook length formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of representation theory (05E10) Combinatorial inequalities (05A20) Asymptotic enumeration (05A16) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items

Roots of descent polynomials and an algebraic inequality on hook lengths, On the Okounkov-Olshanski formula for standard tableaux of skew shapes, Hook formulas for skew shapes. III: Multivariate and product formulas

Uses Software

• DLMF

Cites Work

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