D. Dastjerdi

activity

20112024

most citedIterated function systems over arbitrary shift spaces

2 citations · 9 across the 12 of their papers we have counts for

collaborators

13 papers

math.DS2024

Attractor and its self-similarities for an IFS over arbitrary sub-shift

Dawoud Ahmadi Dastjerdi, Sedigheh Darsaraee

Consider a compact metric space $X$ , and let $F = {f_{1}, f_{2}, \dots, f_{k}}$ be a set of contracting and continuous self maps on $X$ . Let $Σ$ be a sub-shift on $k$ symbol…

math.DS2022

Shift limits of a non-autonomous system

Dawoud Ahmadi Dastjerdi, Mahdi Aghaee

Let $t = t_{1} t_{2} \dots$ be an element of the full shift with shift map $τ$ on a finite set of characters $A$ and let $Σ = closure {τ^{i} (t) : i \in N \cup {0}}$ . Let $…

math.DS2022★ 2 cited

Iterated function systems over arbitrary shift spaces

Dawoud Ahmadi Dastjerdi, Mahdi Aghaee

The orbit of a point $x \in X$ in a classical iterated function system (IFS) can be defined as ${f_{u} (x) = f_{u_{n}} \circ \dots \circ f_{u_{1}} (x) :$ $u = u_{1} \dots u_{n}$ is a word of a full…

math.DS2020

Topological conjugacy and its relations for symbolic matrices

Naghmeh Akhavan, Dawoud Ahmadi Dastjerdi

In 1988 Boyle and Krieger defined sub-matrices for representation matrices of sofic shift. This paper presents some details of relations between integral sub-matrices and represent…

math.DS2017

Types of mixings and transitivities in topological dynamics

Dawoud Ahmadi Dastjerdi, Maliheh Dabbaghian Amiri

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 hi…

math.DS2015

Mixing coded systems

Dawoud Ahmadi Dastjerdi, Maliheh Dabbaghian Amiri

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…