274 citations · 904 across the 27 of their papers we have counts for
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math.CA2013★ 6 cited
Self similar sets, entropy and additive combinatorics
Michael Hochman
This article is an exposition of recent results on self-similar sets, asserting that if the dimension is smaller than the trivial upper bound then there are almost overlaps between…
math.DS2013★ 55 cited
Equidistribution from Fractals
Michael Hochman, Pablo Shmerkin
We give a fractal-geometric condition for a measure on [0,1] to be supported on points x that are normal in base n, i.e. such that the sequence x,nx,n^2 x,... equidistributes modul…