The order of the decay of the hole probability for Gaussian random SUm 1 polynomials - Mathematics Complex VariablesReportar como inadecuado




The order of the decay of the hole probability for Gaussian random SUm 1 polynomials - Mathematics Complex Variables - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We show that for Gaussian random SUm+1 polynomials of a large degree N theprobability that there are no zeros in the disk of radius r is less than$e^{-c {1,r} N^{m+1}}$, and is also greater than $e^{-c {2,r} N^{m+1}}$.Enroute to this result, we also derive a more general result: probabilityestimates for the event where the volume of the zero set of a random polynomialof high degree deviates significantly from its mean.



Autor: Scott Zrebiec

Fuente: https://arxiv.org/







Documentos relacionados