Ci-dessous, les différences entre deux révisions de la page.
| Les deux révisions précédentes Révision précédente | Prochaine révisionLes deux révisions suivantes |
| mega:seminaire [2024/05/04 16:35] – [Prochaine séance] Guillaume BARRAQUAND | mega:seminaire [2024/05/07 21:39] – [Prochaine séance] Guillaume BARRAQUAND |
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| * 14h00-15h00: Séminaire de **[[https://profiles.sussex.ac.uk/p435611-nicholas-simm/about|Nick Simm]]** //à venir.// | * 14h00-15h00: Séminaire de **[[https://profiles.sussex.ac.uk/p435611-nicholas-simm/about|Nick Simm]]** //Derivative moments of CUE characteristic polynomials.// |
| Abstract: | Abstract: I will discuss results for the derivative of the characteristic polynomial of a unitary matrix drawn at random from the Circular Unitary Ensemble (CUE). We obtain a formula for the non-integer moments in terms of a confluent hypergeometric function, valid in the limit of large matrix dimension. The approach is based on the theory of log-correlated Gaussian fields. I will discuss possible implications of our results for derivative moments of the Riemann zeta function. This is joint work with Fei Wei (University of Oxford). |
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