ScalingStacks

Lemma 3.1 . [02B6]

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Lemma 3.1.

For any integer μ≥1\mu\geq 1 and any kk we have

ρμ​k,X​(x)≥(K02​kn)1−μ​ρk,X​(x)μ,\rho_{\mu k,X}(x)\geq(K_{0}^{2}k^{n})^{1-\mu}\rho_{k,X}(x)^{\mu},

where K0K_{0} is the constant in the C0C^{0}-bound of Proposition 2.1.

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