Asymptotics of partition functions in a fermionic matrix model and of related q‐polynomials

DOI10.1111/sapm.12234zbMath1419.81028arXiv1808.01193OpenAlexW2949779712MaRDI QIDQ4967121

Dan Dai, Xiang-Sheng Wang, Mourad E. H. Ismail

Publication date: 2 July 2019

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01193

zbMATH Keywords

asymptoticspartition functiontheta functionmatrix modelsStieltjes-Wigert polynomials

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Model quantum field theories (81T10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Theta functions and abelian varieties (14K25) Applications of basic hypergeometric functions (33D90)

Related Items (1)

Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble

Uses Software

• DLMF

Cites Work

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• Zeros of entire functions and a problem of Ramanujan
• Uniform asymptotics of the Stieltjes-Wigert polynomials via the Riemann-Hilbert approach
• Advanced determinant calculus
• Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
• Variants of the Rogers-Ramanujan identities
• Solvable quantum Grassmann matrices
• Polynomial solution of quantum Grassmann matrices

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