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Currently displaying 1 – 2 of 2

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Asymptotic periodicity of some stochastically perturbed dynamical systems

T. Komorowski — 1992

Annales de l'I.H.P. Probabilités et statistiques

Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient

M. Cudna; T. Komorowski — 2008

Studia Mathematica

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 $C^{\infty}$ 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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