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math.DS2023
Dimension of planar non-conformal attractors with triangular derivative matrices
Balázs Bárány, Antti Käenmäki
We study the dimension of the attractor and quasi-Bernoulli measures of parametrized families of iterated function systems of non-conformal and non-affine maps. We introduce a tran…
math.DS2023
Covering number on inhomogeneous graph-directed self-similar sets
Balázs Bárány, Antti Käenmäki, Petteri Nissinen
For a strongly connected inhomogeneous graph-directed self-similar set satisfying the strong open set condition, we characterize the asymptotic behaviour of the -covering…