2 papers
math-ph2023
Expanding the Fourier transform of the scaled circular Jacobi ensemble density
Peter J. Forrester, Bo-Jian Shen
The family of circular Jacobi ensembles has a singularity of a type associated with Fisher and Hartwig in the theory of Toeplitz determinants. Our interest is in the Fourier tr…
math-ph2023
Multiple skew orthogonal polynomials and 2-component Pfaff lattice hierarchy
Shi-Hao Li, Bo-Jian Shen, Jie Xiang +1
In this paper, we introduce multiple skew-orthogonal polynomials and investigate their connections with classical integrable systems. By using Pfaffian techniques, we show that mul…