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math-ph2022
Matrix-valued Cauchy bi-orthogonal polynomials and a novel noncommutative integrable lattice
Shi-Hao Li, Ying Shi, Guo-Fu Yu +1
Matrix-valued Cauchy bi-orthogonal polynomials were proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in four-term recurrence…
math-ph2022
Discrete orthogonal ensemble on the exponential lattices
Peter J Forrester, Shi-Hao Li, Bo-Jian Shen +1
Inspired by Aomoto's -Selberg integral, the orthogonal ensemble in the exponential lattice is considered in this paper. By introducing a skew symmetric kernel, the configuration…