Rémi Rhodes

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J o u r n a l o f P r o b a b i l i t y Electron. Abstract In [15], a Feller process called Liouville Brownian motion on R 2 has been introduced. It can be seen as a Brownian motion evolving in a random geometry given formally by the exponential of a (massive) Gaussian Free Field e γ X and is the right diffusion process to consider regarding 2d-Liouville(More)
We investigate stochastic homogenization for some degenerate quasilinear pa-rabolic PDEs. The underlying nonlinear operator degenerates along the space variable, uniformly in the nonlinear term: the degeneracy points correspond to the degeneracy points of a reference diffusion operator on the random medium. Assuming that this reference diffusion operator is(More)
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