92 citations · 502 across the 56 of their papers we have counts for
Showing 2007Show all
2 papers · 1 filter
math.CA2007★ 29 cited
Overlapping self-affine sets of Kakeya type
Antti Kaenmaki, Pablo Shmerkin
We compute the Minkowski dimension for a family of self-affine sets on the plane. Our result holds for every (rather than generic) set in the class. Moreover, we exhibit explicit o…
math.CA2007★ 1 cited
Resonance between Cantor sets
Yuval Peres, Pablo Shmerkin
Let be the central Cantor set obtained by removing a central interval of length from the unit interval, and continuing this process inductively on each of the remainin…