Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices
نویسندگان
چکیده
By using asymptotics of Toeplitz+Hankel determinants, we establish formulae for the moments characteristic polynomials random orthogonal and symplectic matrices, as matrix size tends to infinity. Our results are analogous those that Fahs obtained unitary matrices in (Fahs B. 2021 Communications Mathematical Physics 383 , 685–730. (doi: 10.1007/s00220-021-03943-0 )). A key feature derive is phase transitions seen depend on symmetry group question a significant way.
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ژورنال
عنوان ژورنال: Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2023
ISSN: ['1471-2946', '1364-5021']
DOI: https://doi.org/10.1098/rspa.2022.0652