Surprising Pfaffian factorizations in random matrix theory with Dyson index β = 2

DOI10.1088/1751-8113/45/9/095205zbMath1239.15019arXiv1109.5109OpenAlexW3098921613MaRDI QIDQ2879929

Mario Kieburg

Publication date: 10 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5109

zbMATH Keywords

skew-orthogonal polynomialsrandom matrix ensemblesDyson indexchiral unitary ensemblesPfaffian determinantPfaffian factorization

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Pfaffian systems (58A17) Random matrices (algebraic aspects) (15B52)

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