12 citations · 30 across the 12 of their papers we have counts for
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math.DS2020
Self-similar measures associated to a homogeneous system of three maps
Ariel Rapaport, Péter P. Varjú
We study the dimension of self-similar measures associated to a homogeneous iterated function system of three contracting similarities on and other more general IFS's. We e…
math.DS2020
Exact dimensionality and Ledrappier-Young formula for the Furstenberg measure
Ariel Rapaport
Assuming strong irreducibility and proximality, we prove that the Furstenberg measure, corresponding to a finitely supported measure on the general linear group of a finite dimensi…
math.DS2020
Proof of the exact overlaps conjecture for systems with algebraic contractions
Ariel Rapaport
We establish the exact overlaps conjecture for iterated functions systems on the real line with algebraic contractions and arbitrary translations.