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math.PR2016
Random eigenvalues from a stochastic heat equation
Carlos Gabriel Pacheco
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 stochas…
math.PR2016★ 3 cited
From the Sinai's walk to the Brox diffusion using bilinear forms
Carlos Gabriel Pacheco
Using the generators, we establish a connection between the Sinai's random walk and the so-called Brox process. We first find the Dirichlet form of the Brox diffusion, and then pro…