期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (7)
We study the independence density for finite families of finite tuples of sets for continuous actions of discrete groups on compact metrizable spaces.......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (8)
Let (G, Lambda) be a self-similar k-graph with a possibly infinite vertex set Lambda(0). We associate a universal C*-algebra O-G,O-Lambda to (G, Lambd......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (6)
In this paper we consider the following nonlinear quasi-periodic system: (x) over dot = (A + epsilon P(t, epsilon))x + epsilon g(t, epsilon) + h(x, t,......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (8)
In this article, we will prove a full topological version of Popa's measurable cocycle superrigidity theorem for full shifts [Popa, Cocycle and orbit ......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (8)
Fix an alphabet A = {0, 1, ..., M} with M is an element of N. The univoque set u of bases q is an element of (1, M + 1) in which the number 1 has a un......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (9)
We show that any action of a countable amenable group on a uniquely arcwise connected continuum has a periodic point of order <= 2.
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (5)
We study homeomorphisms of a Cantor set with k (k < +infinity) minimal invariant closed (but not open) subsets; we also study crossed product C*-al......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (2)
Let f be an n-dimensional holomorphic map defined in a neighborhood of the origin such that the origin is an isolated fixed point of all of its iterat......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (2)
We study dynamical systems that have bounded complexity with respect to three kinds metrics: the Bowen metric d(n), the max-mean metric (d) over cap (......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021; 41 (2)
There is much research on the dynamical complexity on irregular sets and level sets of ergodic average from the perspective of density in base space, ......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020; 40 (12)
In this paper, it is shown that if a dynamical system is null and distal, then it is equicontinuous. It turns out that a null system with closed proxi......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020; 40 (6)
Let V. X; T /!.Y; S / be an extension between minimal systems; we consider its relative sensitivity. We obtain that is relatively n-sensitive if and o......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020; 40 (7)
We generalize the higher rank rigidity theorem to a class of Finsler spaces, i.e. Berwald spaces. More precisely, we prove that a complete connected B......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020; 40 (8)
Consider a C-1-partially hyperbolic diffeomorphism f : M -> M. Following the ideas in establishing the local variational principle for topological ......
期刊： ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020; 40 (8)
By an assignment we mean a mapping from a Choquet simplex K to probability measure-preserving systems obeying some natural restrictions. We prove that......
