Measures on the Spectra of Algebraic Integers
arXiv:2102.07581
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
References in corpus (5)
- On self-similar sets with overlaps and inverse theorems for entropy
- Aperiodic order and pure point diffraction
- A short guide to pure point diffraction in cut-and-project sets
- A lower bound for the dimension of Bernoulli convolutions
- Computing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters