ScalingStacks

Lemma 4.1 . [023F]

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Lemma 4.1.

(Volume form error) In the generic region min⁡(x1,x2)≫1\min(x_{1},x_{2})\gg 1, we have exponential decay on the local Ck,αC^{k,\alpha} norm of the error function: ‖E​r​r1‖k,α,l​o​c=O⁡(e−c​min⁡(x1,x2))\left\lVert Err_{1}\right\rVert_{k,\alpha,loc}=O(e^{-c\min(x_{1},x_{2})}) for some c>0c>0.

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