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.CA2012★ 274 cited
On self-similar sets with overlaps and inverse theorems for entropy
Michael Hochman
We study the Hausdorff dimension of self-similar sets and measures on the line. We show that if the dimension is smaller than the minimum of 1 and the similarity dimension, then at…