A short proof of gevrey regularity for homogenized coefficients of the poisson point process

HIGHLIGHTS

SUMMARY

Symmetry is not essential in what follows, see e_g the discussion at the end of_[4, Section 1]. The decimated (p) process P λ has the same law as P pλ, so that the regularity of λ 7→ A λ is equivalent to the (p) regularity of p 7→ A λ for fixed λ. In the introduction of_[6], the authors point out that the strategy they use could be applied to prove the regularity of λ 7→ A λ in the setting. By qualitative stochastic h homogenization arguments (see e_g_[7, Theorem 1] for the convergence in T and_[4 . . .

 



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