English

Random eigenvalues from a stochastic heat equation

Probability 2016-05-11 v1

Abstract

In this paper we prove the convergence of the eigenvalues of a random matrix that approximates a random Schr\"{o}dinger operator. Originally, such random operator arises from a stochastic heat equation. The proof uses a detailed topological analysis of certain spaces of functions where the operators act.

Keywords

Cite

@article{arxiv.1605.02833,
  title  = {Random eigenvalues from a stochastic heat equation},
  author = {Carlos Gabriel Pacheco},
  journal= {arXiv preprint arXiv:1605.02833},
  year   = {2016}
}
R2 v1 2026-06-22T13:57:02.202Z