Year: 2024
Type: article
Abstract: This paper studies various aspects of inverse limits of locally expanding affine linear maps on flat branched manifolds, which I call flat Wieler solenoids. Among the aspects studied are different types of cohomologies, the rates of mixing given by the Ruelle spectrum of the hyperbolic map acting on this space, and solutions of the cohomological equation in primitive substitution subshifts for Hölder functions. The overarching theme is that considerations of $\alpha $ -Hölder regularity on Cantor sets go a long way.
DOI: 10.1017/etds.2024.41
Author: RODRIGO TREVIÑO
Institution: University of Maryland, College Park
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,450
Funder: National Science Foundation
OpenAlex ID: W4402394972