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math.DS2023
Scaling limits of self-conformal measures
Balázs Bárány, Antti Käenmäki, Aleksi Pyörälä +1
We show that any self-conformal measure on is uniformly scaling and generates an ergodic fractal distribution. This generalizes existing results by removing the ne…
math.DS2023
Large slices through self affine carpets
Amir Algom, Meng Wu
Let be a Bedford-McMullen carpet defined by exponents , that projects to on the -axis. We show that under mild conditions on , there are man…