Brian Rider

collaborators

2 papers

math.PR2024

Solvable Families of Random Block Tridiagonal Matrices

Brian Rider, Benedek Valkó

We introduce two families of random tridiagonal block matrices for which the joint eigenvalue distributions can be computed explicitly. These distributions are novel within random…

math.PR2004

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 $q (x)$ , $0 \leq x \leq 1$ , is a White Noise. Denote by $f (μ)$ the probability density function of $- λ_{0} (q)$ , the negativ…