63 citations · 156 across the 13 of their papers we have counts for
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Birkhoff and Lyapunov spectra on planar self-affine sets
Balázs Bárány, Thomas Jordan, Antti Käenmäki +1
Working on strongly irreducible planar self-affine sets satisfying the strong open set condition, we calculate the Birkhoff spectrum of continuous potentials and the Lyapunov spect…
Dimension of the repeller for a piecewise expanding affine map
Balázs Bárány, Michał Rams, Károly Simon
In this paper, we study the dimension theory of a class of piecewise affine systems in euclidean spaces suggested by Michael Barnsley, with some applications to the fractal image c…
Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles
Balázs Bárány, Antti Käenmäki, Ian D. Morris
In topics such as the thermodynamic formalism of linear cocycles, the dimension theory of self-affine sets, and the theory of random matrix products, it has often been found useful…