45 citations · 191 across the 18 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.CA2020★ 10 cited
Fourier decay of self-similar measures and self-similar sets of uniqueness
Péter P. Varjú, Han Yu
In this paper, we investigate the Fourier transform of self-similar measures on R. We provide quantitative decay rates of Fourier transform of some self-similar measures. Our metho…
math.PR2020★ 16 cited
Mixing time of the Chung--Diaconis--Graham random process
Sean Eberhard, Péter P. Varjú
Define on by , where the steps are chosen independently at random from . The mixing time of this random walk…