arXiv subjects

Maliheh Dabbaghian Amiri

Publications and source records attributed to Maliheh Dabbaghian Amiri.

3 recordsLinked to original sources

arXiv2017

Types of mixings and transitivities in topological dynamics

Using the combinatorial properties of subsets of integers, a classification of metric dynamical systems was given in [V. Bergelson and T. Downarowicz, Large sets of integers and hierarchy of mixing properties of measure-preserving systems, Colloquium Mathematicum, 110(1), (2008), 117-150]. As a result, some new families emerged. Here, their counterparts in topological dynamics has been considered. The differences will be discussed and new classes of systems in topological dynamics will be introduced.

math.DS↗

arXiv2015

Mixing coded systems

We show that a coded system is mixing if and only if it is totally transitive and if in addition it has a relatively prime generator, then it has strong property P. We continue by showing that a mixing half-synchronized system has such a generator. Moreover, we give an example of a mixing coded system which does not have any relatively prime generator.

math.DS↗

arXiv2011

Characterization of Entropy for Spacing shifts

Suppose $P\subseteq \mathbb{N}$ and let $(Σ_P,\,σ_P)$ be the space of a spacing shift. We show that if entropy $h_{σ_P}=0$ then $(Σ_P,\,σ_P)$ is proximal. Also $h_{σ_P}=0$ if and only if $P=\mathbb N\setminus E$ where $E$ is an intersective set. Moreover, we show that $h_{σ_P}>0$ implies that $P$ is a $Δ^*$ set; and by giving a class of examples, we show that this is not a sufficient condition. Then there is enough results to solve question 5 given in [J. Banks et al., \textit{Dynamics of Spacing Shifts}, Discrete Contin. Dyn. Syst., to appear.].

math.DS↗