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math.PR2015★ 58 cited
The continuous Anderson hamiltonian in dimension two
Romain Allez, Khalil Chouk
We define the Anderson hamiltonian on the two dimensional torus . This operator is formally defined as where is the Laplacian oper…
math.PR2015
Multidimensional SDEs with singular drift and universal construction of the polymer measure with white noise potential
Giuseppe Cannizzaro, Khalil Chouk
We study existence and uniqueness of solution for stochastic differential equations with distributional drift by giving a meaning to the Stroock-Varadhan martingale problem associa…