1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2024
Local dimension spectrum for dominated planar self-affine sets
Alex Batsis, Antti Käenmäki, Tom Kempton
The local dimension spectrum provides a framework for quantifying the fractal properties of a measure, and it is well understood for non-overlapping self-similar measures. In this…
math.DS2021
Towards Absolutely Continuous Bernoulli Convolutions
Alex Batsis, Tom Kempton
We show how to turn the question of the absolute continuity of Bernoulli convolutions into one of counting the growth of the number of overlaps in the system. When the contraction…
math.DS2021★ 1 cited
Measures on the Spectra of Algebraic Integers
Tom Kempton, Alex Batsis
Given a real number beta > 1, the spectrum of beta is a well studied dynamical object. In this article we show the existence of a certain measure on the spectrum of beta related to…