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

Autor:	Marshall-Maldonado, Juan
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We study the spectrum of the self-similar suspension flows of sub-shifts arising from primitive substitutions. We focus on the case where the substitution matrix has a Salem number {\alpha} as dominant eigenvalue. We obtain a H\"older exponent for the spectral measures for points away from zero and belonging to the field Q({\alpha}). 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.13607 Zobrazit plný text záznamu View this record from Arxiv