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math.DS2023
Tangents of invariant sets
Antti Käenmäki, Alex Rutar
We study the fine scaling properties of sets satisfying various weak forms of invariance. For general attractors of possibly overlapping bi-Lipschitz iterated function systems, we…
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…