ScalingStacks

Conjecture 5.15 . [02D4]

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Conjecture 5.15.

For any n,c,Vn,c,V and η<1\eta<1 there is a number k0​(n,c,V,η)k_{0}(n,c,V,\eta) such that if k≥k0k\geq k_{0} then for any XX in 𝒦⁡(n,c,V){\mathcal{K}}(n,c,V) we have

η​(2​π)−n​(k​D)n≤ρk​D,X≤η−1​c−1​(2​π)−n​(k​D)n,\eta(2\pi)^{-n}(kD)^{n}\leq\rho_{kD,X}\leq\eta^{-1}c^{-1}(2\pi)^{-n}(kD)^{n},

with D=D⁡(c)D=D(c) as above.

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