Hubert GoldschmidtInstitute for Advanced Study and Princeton University, Princeton, N.J., USADonald SpencerInstitute for Advanced Study and Princeton University, Princeton, N.J., USA
Dorian GoldfeldDepartment of Mathematics, Columbia UniversityAlexander LubotzkyEinstein Institute of Mathematics, The Hebrew University of JerusalemLászló PyberA Renyi Institute of Mathematics, Hungarian Academy of Sciences
We establish sharp asymptotics for the$L$^{$p$}-norm of Hermite polynomials and prove convergence in distribution of suitably normalized Wick powers. The results are combined with numerical integration to study an extremal problem on Wiener chaos.