关于代数整数谱的测度
Measures on the Spectra of Algebraic Integers
摘要：
给定一个实数beta > 1，beta的谱是一个研究得很好的动力学对象。本文证明了β的谱上存在一个与β中随机多项式分布有关的测度，并讨论了这个测度的局部结构。我们还与相应的伯努利卷积的豪斯多夫维数问题联系起来
英文摘要：
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
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
