On the shape of the ground state eigenvalue density of a random Hill's equation
| dc.creator | Cambronero, Santiago | |
| dc.creator | Ramirez, Jose | |
| dc.creator | Rider, Brian | |
| dc.date | 2004-08-04 | |
| dc.date | 2006-09-16 | |
| dc.date.accessioned | 2026-07-07T06:38:42Z | |
| dc.date.available | 2026-07-07T06:38:42Z | |
| dc.description | Consider the Hill's operator $Q = - d^2/dx^2 + q(x)$ in which $q(x)$, $0 \le x \le 1$, is a White Noise. Denote by $f(μ)$ the probability density function of $-λ_0(q)$, the negative of the ground state eigenvalue, at $μ$. We describe the detailed asymptotics of this density as $μ\to +\infty$. This result is based on a precise Laplace analysis of a functional integral representation for $f(μ)$ established by S. Cambronero and H.P. McKean. | |
| dc.description | Typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0408068 | |
| dc.identifier | http://arxiv.org/abs/math/0408068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100832 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.title | On the shape of the ground state eigenvalue density of a random Hill's equation | |
| dc.type | text |