ScalingStacks

Theorem 3.43 . [04CR]

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Theorem 3.43.

(Bounded part of the Solomon functional) Under the quantitative almost calibratedness and the potential clustering assumption, and all the standing assumptions of this section, there is a uniform a priori bound independent of LL,

|𝒮⁡(L)−𝒮¯​(L)|≤A⁡(4​N+2)sin⁡ϵ​∫L0Re ​Ω.|\mathcal{S}(L)-\bar{\mathcal{S}}(L)|\leq\frac{A(4N+2)}{\sin\epsilon}\int_{L_{0}}\text{Re }\Omega.

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