92 citations · 502 across the 56 of their papers we have counts for
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math.CA2014
Spatially independent martingales, intersections, and applications
Pablo Shmerkin, Ville Suomala
We define a class of random measures, spatially independent martingales, which we view as a natural generalisation of the canonical random discrete set, and which includes as speci…
math.CA2014★ 12 cited
Dynamics of the scenery flow and geometry of measures
Antti Käenmäki, Tuomas Sahlsten, Pablo Shmerkin
We employ the ergodic theoretic machinery of scenery flows to address classical geometric measure theoretic problems on Euclidean spaces. Our main results include a sharp version o…