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Joseph Najnudel: Convergence of random holomorphic functions

Time: Wed 2023-06-07 13.15 - 14.15

Location: KTH, D32

Participating: Joseph Najnudel, Bristol

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In this talk, we study sufficient conditions under which the convergence in distribution of the point process of the zeros of random holomorphic functions implies the convergence in distribution of the random holomorphic function itself. We apply this result to the renormalized characteristic polynomials of several random matrix ensembles, and to the suitably rescaled Riemann zeta function.