Best approximation of orbits in iterated function systems
type: Item
instance of: scholarly article
title: Best approximation of orbits in iterated function systems
zbMATH Open document ID: 1469.11254
author: Saisai Shi
author: Bo Tan
author: Qing-Long Zhou
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-06-08T00:00:00Z
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 37F35
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 7356641
zbMATH Keywords: best approximation
zbMATH Keywords: shortest distance function
zbMATH Keywords: iterated function systems
MaRDI profile type: Publication
full work available at URL: dcds.2021029
OpenAlex ID: W3127145646
cites work: Quantitative recurrence results
cites work: Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
cites work: Hausdorff dimension of measures via Poincaré recurrence
cites work: Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions
cites work: Q3955608
cites work: Dynamical Borel-Cantelli lemmas for Gibbs measures
cites work: Fractal geometry. Mathematical foundations and applications
cites work: Dimension and hitting time in rapidly mixing systems
cites work: The ergodic theory of shrinking targets
cites work: Metric diophantine approximation in Julia sets of expanding rational maps
cites work: The Rényi entropy function and the large deviation of short return times
cites work: Q5554460
cites work: Q5727752
cites work: The shrinking target problem in the dynamical system of continued fractions
cites work: On longest matching consecutive subsequence
cites work: Dimensions and Measures in Infinite Iterated Function Systems
cites work: Conformal iterated function systems with applications to the geometry of continued fractions
cites work: Entropy and data compression schemes
cites work: On the hitting depth in the dynamical system of continued fractions
cites work: Quantitative Poincaré recurrence in continued fraction dynamical system
cites work: Recurrence rate in rapidly mixing dynamical systems
cites work: Jarník and Julia; a Diophantine analysis for parabolic rational maps for Geometrically Finite Kleinian Groups with Parabolic Elements
cites work: Quantitative recurrence properties in conformal iterated function systems
cites work: Quantitative recurrence properties for beta-dynamical system
cites work: Generalized entropies: Rényi and correlation integral approach
cites work: The relative growth rate for partial quotients in continued fractions
cites work: Q3931654
cites work: Dimensions of recurrent sets in \(\beta\)-symbolic dynamics
DOI: 10.3934/DCDS.2021029
description: scientific article; zbMATH DE number 7356641