Next Article in Journal
Impulsive Stability of Stochastic Functional Differential Systems Driven by G-Brownian Motion
Next Article in Special Issue
Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem
Previous Article in Journal
A Functional Data Analysis Approach for the Detection of Air Pollution Episodes and Outliers: A Case Study in Dublin, Ireland
Previous Article in Special Issue
Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces p(·)
Open AccessArticle

Conjugacy of Dynamical Systems on Self-Similar Groups

Department of Mathematics Education, Ewha Womans University, Seoul 03760, Korea
Mathematics 2020, 8(2), 226; https://doi.org/10.3390/math8020226
Received: 13 January 2020 / Revised: 6 February 2020 / Accepted: 6 February 2020 / Published: 10 February 2020
(This article belongs to the Special Issue New Trends in Analysis and Geometry)
We show that the limits for dynamical systems of self-similar groups are eventually conjugate if, and only if, there is an isomorphism between their Deaconu groupoid preserving cocycles. For limit solenoids of self-similar groups, we show that the conjugacy of limit solenoids is equivalent to existence of isomorphism between the Deaconu groupoids of limit solenoid preserving cocycles. View Full-Text
Keywords: self-similar group; eventual conjugacy; limit dynamical system; limit solenoid; groupoid self-similar group; eventual conjugacy; limit dynamical system; limit solenoid; groupoid
MDPI and ACS Style

Yi, I. Conjugacy of Dynamical Systems on Self-Similar Groups. Mathematics 2020, 8, 226. https://doi.org/10.3390/math8020226

AMA Style

Yi I. Conjugacy of Dynamical Systems on Self-Similar Groups. Mathematics. 2020; 8(2):226. https://doi.org/10.3390/math8020226

Chicago/Turabian Style

Yi, Inhyeop. 2020. "Conjugacy of Dynamical Systems on Self-Similar Groups" Mathematics 8, no. 2: 226. https://doi.org/10.3390/math8020226

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop