On the shape of the ground state eigenvalue density of a random Hill's equation

Santiago Cambronero, Jose Ramirez, Brian Rider

Consider the Hill's operator $Q=-d^2/d{x}^2+q(x)$ in which $q(x)$, $0\le x\le 1$, is a White Noise. Denote by $f(\mu )$ the probability density function of $-{\lambda }_0(q)$, the negativ…