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Averages of Products and Ratios of Characteristic Polynomials in Polynomial Ensembles
2020
Annales de l'Institute Henri Poincare. Physique theorique
Polynomial ensembles are a sub-class of probability measures within determinantal point processes. Examples include products of independent random matrices, with applications to Lyapunov exponents, and random matrices with an external field, that may serve as schematic models of quantum field theories with temperature. We first analyse expectation values of ratios of an equal number of characteristic polynomials in general polynomial ensembles. Using Schur polynomials, we show that polynomial
doi:10.1007/s00023-020-00963-9
fatcat:wxqziyrzufgrhnf2hbvme2nuxu