My area of interest includes topological dynamics and ergodic theory, in particular symbolic dynamics.
In the area of applications I am interested in :
Applications of chaos theory in cryptography and image processing.
Applications of symbolic dynamics in social choices modeling.
Publications
Irrational eigenvalues of D-dimensional cellular automata, submitted.
A note on combining chaotic dynamical systems using the fuzzy logic XOR operator. Submitted , preprint available at https://arxiv.org/abs/2101.00053
R.Chemlal, Temporaly periodic point of almost equicontinuous cellular automata. Submitted.
R.Chemlal, Irrational eigenvalues of almost expansive cellular automata. Submitted, preprint available at https://arxiv.org/abs/1911.02474
Nacira Alloua and Rezki Chemlal, An asynchronous cellular automaton model for language shift, CALR Linguistic Journal, vol.15.
Nassima Ait Sadi and Rezki Chemlal , Urban Modeling Using Cellular Automata: The Case of Algiers, Algeria, The Arab World Geographer, Volume, 27, Issue 3-4 Pages 331-343 AWG Publishing.
https://meridian.allenpress.com/awg/article-abstract/27/3-4/331/503576/Urban-Modeling-Using-Cellular-Automata-The-Case-of?redirectedFrom=fulltext3
Jishnu Adhikary, Rezki Chemlal and Rohit Ghosh, Fire Spread Modeling using Probabilistic Cellular Automata Advances in Intelligent Systems and Computing.
https://www.springerprofessional.de/en/cellular-automata-technology/26995978
R. Chemlal, (2023). A Cellular Automaton Model for Language Shift in Algeria. In: Das, S., Martinez, G.J. (eds) Proceedings of Second Asian Symposium on Cellular Automata Technology. ASCAT 2023. Advances in Intelligent Systems and Computing, vol 1443. Springer, Singapore. https://doi.org/10.1007/978-981-99-0688-8_16
Majority 2D rule with moore neighberhood probabilty of change. Early version of this work is available here.
Equicontinuous factors of one dimensional cellular automata. Journal of cellular automata. 2019, Vol. 14, pp. 213–223.
Some topological properties of one dimensional cellular automata. Selected papers of the 2018 International Conference on Topology and its Applications.
Some Spectral Properties of One Dimensional Cellular Automata. Journal of Cellular Automata . 2018, Vol. 13 Issue 1/2, p159-172. 14p
Review of a Coding Scheme in Information Storage Techniques. Applied Mathematical Sciences, Vol. 1, 2007, no. 37, 1821 - 1829.
Coding information and problems of storage in dynamical systems., Facta universitatis - series: Electronics and Energetics, 2004 17(3):355-363.
R.Chemlal, A.Makhlouf, Study of the Mathieu’s Equation. International journal of differential equations and application IJDEA volume 5 , N° 3 , 2002 , 283 - 298.