Random eigenvalues from a stochastic heat equation

Carlos Gabriel Pacheco

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arXiv · 1605.02833

Random eigenvalues from a stochastic heat equation

Carlos Gabriel Pacheco

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Abstract

In this paper we prove the convergence of the eigenvalues of a random matrix that approximates a random Schrödinger 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.

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Carlos Gabriel Pacheco. 2016-05-10. Random eigenvalues from a stochastic heat equation. https://arxiv.org/abs/1605.02833

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