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math.DS2018
Absolute continuity in families of parametrised non-homogeneous self-similar measures
Antti Käenmäki, Tuomas Orponen
Let be a planar self-similar measure with similarity dimension exceeding , satisfying a mild separation condition, and such that the fixed points of the associated similitud…
math.DS2018
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…