Continuity of the natural dimension of piecewise linear iterated function systems

Autor:	Prokaj, R. D., Raith, P.
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. We show that typically the natural dimension of these systems changes continuously with respect to the parameters that define the system. As an application of this property, we prove a result on the positivity of the Lebesgue measure of the attractor. Comment: arXiv admin note: text overlap with arXiv:2302.04333
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.05695 Zobrazit plný text záznamu View this record from Arxiv