Asymptotic periodicity of some stochastically perturbed dynamical systems
Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient
We show that the effective diffusivity of a random diffusion with a drift is a continuous function of the drift coefficient. In fact, in the case of a homogeneous and isotropic random environment the function is smooth outside the origin. We provide a one-dimensional example which shows that the diffusivity coefficient need not be differentiable at 0.
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