1 citations · 1 across the 7 of their papers we have counts for
7 papers
Irrational eigenvalues of D-Dimensional Cellular automata
Nassima Ait Sadi, Rezki Chemlal
Cellular automata are dynamical systems defined on lattices and commuting with the Bernoulli shift. In this work, we focus on the spectral properties of D-dimensional cellular auto…
Fire Spread Modeling using Probabilistic Cellular Automata
Rohit Ghosh, Jishnu Adhikary, Rezki Chemlal
A cellular automaton (CA)-based modeling approach to simulate wildfire spread, emphasizing its strengths in capturing complex fire dynamics and its integration with geographic info…
Strictly periodic points and periodic factors of cellular automata
Nacira Allaoua, Rezki Chemlal
We show that the set of strictly temporally periodic points of cellular automata with almost equicontinuous points is dense in the topological support of the measure. This extends…
A note on combining chaotic dynamical systems using the fuzzy logic XOR operator
Rezki Chemlal
In this paper we explore whatever combining two chaotic dynamical systems using the fuzzy logic operator XOR can maintain or not the chaotic properties of the resulting dynamical s…
Irrational eigenvalues of almost expansive cellular automata
Rezki Chemlal
We show that an almost expansive cellular automaton according to Gilman's classification cannot have irrational eigenvalues. This completes the proof that any surjective cellular a…
Some topological properties of one dimensional cellular automata
Rezki Chemlal
Cellular automata, CA for short are continuous maps defined on the set of configurations over a finite alphabet A that commutes with the shift. They are characterized by the existe…
Equicontinuous factors of one dimensional cellular automata
Rezki Chemlal
We are interested in topological and ergodic properties of one dimensional cellular automata. We show that an ergodic cellular automaton cannot have irrational eigenvalues. We show…