Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove this sort is inherited by the convex envelope, which key to obtain other remarkable properties such as coercivity. Our techniques allow retrieve Enflo's uniformly renorming super-reflexive Banach spaces regularization raw function built from trees. Among appl...

A bstract We show that the two-point function of protected bi-scalar operators in $$ \mathcal{N} N = 4 SYM evaluated dimensional regularization exhibits a uniform transcendental weight up to three-loop order. conjecture this property holds for whole perturbative series and leverage explicit results postulate ...