Measures on the Spectra of Algebraic Integers
Dynamical Systems
2021-02-16 v1
Abstract
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 the distribution of random polynomials in beta, and discuss the local structure of this measure. We also make links with the question of the Hausdorff dimension of the corresponding Bernoulli Convolution
Keywords
Cite
@article{arxiv.2102.07581,
title = {Measures on the Spectra of Algebraic Integers},
author = {Tom Kempton and Alex Batsis},
journal= {arXiv preprint arXiv:2102.07581},
year = {2021}
}