The maximal action A satisfies A = a ln L + O(1) with overwhelming probability for a deterministic a in (0, ∞).
Domain branching in uniaxial ferromagnets: as- ymptotic behavior of the energy.Calculus of variations and partial differential equations,38, 1, 135–181 (2010), Springer
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Quantitative homogenization of the maximal action of curves in a Brownian potential
The maximal action A satisfies A = a ln L + O(1) with overwhelming probability for a deterministic a in (0, ∞).