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math.PR2022
The infinitesimal generator of the Brox diffusion
Antoine Mouzard
We construct the infinitesimal generator of the Brox diffusion on a line with a periodic Brownian environment. This gives a new construction of the process and allows to solve the…
math.PR2022★ 4 cited
Analysis of the Anderson operator
I. Bailleul, N. V. Dang, A. Mouzard
We consider the continuous Anderson operator on a two dimensional closed Riemannian manifold . We provide a short self-contained functional analysis constructi…