Z. N. Ahmadabadi

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20172026

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4 papers · 1 filter

math.DS2019

On proximal relations in transformation semigroups arising from generalized shifts

Fatemah Ayatollah Zadeh Shirazi, Amir Fallahpour, Mohammad Reza Mardanbeigi +1

For a finite discrete topological space $X$ with at least two elements, a nonempty set $Γ$ , and a map $φ : Γ \to Γ$ , $σ_{φ} : X^{Γ} \to X^{Γ}$ with $σ_{φ} ((x_{α})_{α \in Γ}) = (x_{φ (α)})_{α \in Γ}$ (for…

math.DS2017

Set-theoretical entropies of generalized shifts

Zahra Nili Ahmadabadi, Fatemah Ayatollah Zadeh Shirazi

In the following text for arbitrary $X$ with at least two elements, nonempty set $Γ$ and self-map $φ : Γ \to Γ$ we prove the set-theoretical entropy of generalized shift $σ_φ:X^Γ\to X^…

math.DS2017

Distributional chaotic generalized shifts

Zahra Nili Ahmadabadi, Fatemah Ayatollah Zadeh Shirazi

Suppose $X$ is a finite discrete space with at least two elements, $Γ$ is a nonempty countable set, and consider self--map $φ : Γ \to Γ$ . We prove that the generalized shift $σ_φ:X^Γ\t…

math.DS2017

Specification properties on uniform spaces

Fatemah Ayatollah Zadeh Shirazi, Zahra Nili Ahmadabadi, Bahman Taherkhani +1

In the following text we introduce specification property (stroboscopical property) for dynamical systems on uniform space. We focus on two classes of dynamical systems: generalize…