63 citations · 156 across the 13 of their papers we have counts for
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math.DS2015★ 49 cited
Ledrappier-Young formula and exact dimensionality of self-affine measures
Balázs Bárány, Antti Käenmäki
In this paper, we solve the long standing open problem on exact dimensionality of self-affine measures on the plane. We show that every self-affine measure on the plane is exact di…
math.DS2015
Dimension maximizing measures for self-affine systems
Balázs Bárány, Michał Rams
In this paper we study the dimension theory of planar self-affine sets satisfying dominated splitting in the linear parts and strong separation condition. The main results of this…
math.DS2015★ 1 cited
On the dimension of self-affine sets and measures with overlaps
Balázs Bárány, Michał Rams, Károly Simon
In this paper we consider diagonally affine, planar IFS . Combining the techniques of Hochman and Feng, Hu we compute…