Valores propios de Dirichlet asociados a la ecuación de Hill con potencial de ruido blanco

We show that Hill’s equation with white noise potential has a sequence of Dirichlet eigenvalues /lambda n that behaves almost like in the classical case, in the sense that /lambda n - n2/pi 2 has a logarithmic growth coming from a sequence of Gaussian random variables.

Main Authors: McKean, Henry, Cambronero, Santiago
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/114
http://hdl.handle.net/10669/12743
Summary: We show that Hill’s equation with white noise potential has a sequence of Dirichlet eigenvalues /lambda n that behaves almost like in the classical case, in the sense that /lambda n - n2/pi 2 has a logarithmic growth coming from a sequence of Gaussian random variables.