Skew-orthogonal polynomials: the quartic case
Saugata Ghosh
TL;DR
This paper introduces an iterative method for deriving skew-orthogonal polynomials associated with quartic weights, relevant to symplectic random matrix ensembles, advancing computational techniques in this mathematical area.
Contribution
It provides a novel iterative approach to compute skew-orthogonal polynomials for quartic weights, a problem previously not fully addressed.
Findings
Development of an iterative technique for quartic weights
Application to symplectic ensembles of random matrices
Enhanced computational methods for skew-orthogonal polynomials
Abstract
We present an iterative technique to obtain skew-orthogonal polynomials with quartic weight, arising in the study of symplectic ensembles of random matrices.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry