A panorama of specification-like properties and their consequences
We offer an overview of the specification property, its relatives and their consequences. We
examine relations between specification-like properties and such notions as: mixing …
examine relations between specification-like properties and such notions as: mixing …
Intrinsic ergodicity beyond specification: β-shifts, S-gap shifts, and their factors
V Climenhaga, DJ Thompson - Israel Journal of Mathematics, 2012 - Springer
We give sufficient conditions for a shift space (Σ, σ) to be intrinsically ergodic, along with
sufficient conditions for every subshift factor of Σ to be intrinsically ergodic. As an application …
sufficient conditions for every subshift factor of Σ to be intrinsically ergodic. As an application …
On various definitions of shadowing with average error in tracing
When computing a trajectory of a dynamical system, influence of noise can lead to large
perturbations which can appear, however, with small probability. Then when calculating …
perturbations which can appear, however, with small probability. Then when calculating …
Diophantine approximation of the orbits of any given point under the family of beta-transformations
F Lü, B Wang, J Wu - Israel Journal of Mathematics, 2025 - Springer
This paper is concerned with the Diophantine properties of the orbits of any given point
under beta-transformations as beta varies. More precisely, let T β be the beta-transformation …
under beta-transformations as beta varies. More precisely, let T β be the beta-transformation …
On density of ergodic measures and generic points
K Gelfert, D Kwietniak - Ergodic Theory and Dynamical Systems, 2018 - cambridge.org
We introduce two properties of dynamical systems on Polish metric spaces: closeability and
linkability. We show that they imply density of ergodic measures in the space of invariant …
linkability. We show that they imply density of ergodic measures in the space of invariant …
Specification and thermodynamical properties of semigroup actions
FB Rodrigues, P Varandas - Journal of Mathematical Physics, 2016 - pubs.aip.org
In the present paper, we study the thermodynamical properties of finitely generated
continuous subgroup actions. We propose a notion of topological entropy and pressure …
continuous subgroup actions. We propose a notion of topological entropy and pressure …
Distribution of full cylinders and the Diophantine properties of the orbits in -expansions
Y Bugeaud, BW Wang - Journal of Fractal Geometry, 2014 - ems.press
Letˇ> 1 be a real number. LetTˇdenote theˇ-transformation on Œ0; 1. A cylinder of order n is
a set of real numbers in Œ0; 1 having the same first n digits in their ˇ-expansion. A cylinder is …
a set of real numbers in Œ0; 1 having the same first n digits in their ˇ-expansion. A cylinder is …
Quantitative recurrence properties for beta-dynamical system
B Tan, BW Wang - Advances in Mathematics, 2011 - Elsevier
This note is concerned with the quantitative recurrence properties of beta dynamical system
([0, 1], Tβ) for general β> 1; the size of points with the prescribed recurrence rate is …
([0, 1], Tβ) for general β> 1; the size of points with the prescribed recurrence rate is …
On the irregular points for systems with the shadowing property
On the irregular points for systems with the shadowing property Page 1 Ergod. Th. & Dynam.
Sys. (2018), 38, 2108–2131 doi:10.1017/etds.2016.126 c Cambridge University Press, 2017 …
Sys. (2018), 38, 2108–2131 doi:10.1017/etds.2016.126 c Cambridge University Press, 2017 …
Shrinking target problems for beta-dynamical system
LM Shen, BW Wang - Science China Mathematics, 2013 - Springer
Abstract For any β> 1, let (0, 1, T β) be the beta dynamical system. For a positive function ψ:
ℕ→ ℝ+ and a real number x 0∈ 0, 1, we define D\left (T_ β, ψ, x_0\right) the set of ψ-well …
ℕ→ ℝ+ and a real number x 0∈ 0, 1, we define D\left (T_ β, ψ, x_0\right) the set of ψ-well …