萨伦型置换悬浮流谱测量的连续性模量

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI:10.1007/s11856-024-2630-0

Juan Marshall-Maldonado

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引用次数: 0

摘要

我们研究了原始置换产生的子移动的自相似悬浮流谱。我们重点研究了置换矩阵以萨利姆数α为主导特征值的情况。我们为远离零且属于ℚ(α)场的点的谱测量得到了一个霍尔德指数。这个指数只取决于每个点的三个参数：绝对值、实共轭绝对值和分母。

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Modulus of continuity for spectral measures of suspension flows over Salem type substitutions

We study the spectrum of the self-similar suspension flows of subshifts arising from primitive substitutions. We focus on the case where the substitution matrix has a Salem number α as dominant eigenvalue. We obtain a Hölder exponent for the spectral measures for points away from zero and belonging to the field ℚ(α). This exponent depends only on three parameters of each of these points: its absolute value, the absolute value of its real conjugate and its denominator.

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来源期刊

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.