274 citations · 904 across the 27 of their papers we have counts for
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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…
math.DS2012
On the ratio ergodic theorem for group actions
Michael Hochman
We study the ratio ergodic theorem (RET) of Hopf for group actions. Under a certain technical condition, if a sequence of sets {F_n} in a group satisfy the RET, then there is a fin…