Random "dyadic" lattice in geometrically doubling metric space and A2 conjecture

Abstract

Recently three proofs of the A2-conjecture were obtained. All of them are "glued" to euclidian space and a special choice of one random dyadic lattice. We build a random "dyadic" lattice in any doubling metric space which have properties that are enough to prove the A2-conjecture in these spaces.

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