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A characterization of idempotent Schur multipliers
Csongor Beke, Marcel K. Goh, Hamed Hatami +2
We prove that every idempotent Schur multiplier is a finite signed sum of contractive idempotent Schur multipliers. This was conjectured by Katavolos and Paulsen in 2003 and previo…
Communication complexity of point-line incidences over the reals
Marcel K. Goh, Hamed Hatami
We construct a point-line incidence problem over the reals whose randomized communication complexity is constant, but whose deterministic communication complexity is linear even wh…
Entropy lower bounds and sum-product phenomena
Lampros Gavalakis, Marcel K. Goh, Ioannis Kontoyiannis
Various lower bounds are established for the entropy of sums, products and their combinations. First, we derive a prime-field analogue of a version of the entropy power inequality…