I am a mathematician working at the Department of Mathematics of the American University of Beirut.



Teaching
[Fall 2020] Topology I (MATH214)
[Fall 2020] Introduction to Probability and Statistics (STAT230)
Past Teaching



Research Interests
I am interested in the interplay between probability theory, symbolic dynamics, ergodic theory,
computation theory, combinatorics and information theory, and applications of these
in statistical physics and computer science.



Recent/Upcoming Events
AUTOMATA 2021 (Marseille, July 2021)
Expanding Dynamics (online workshop series)
BernoulliIMS One World Symposium (online, August 2020)
Percolation Today (online, weekly)
Horowitz seminar on probability, ergodic theory and dynamical systems (online, weekly)
One World Probability seminar (online, weekly)
Online Open Probability School (online, May–August 2020)
AUTOMATA 2020 (Stockholm, August 2020) $\to$ online
Symbolic Dynamics, Entropy and Thermodynamic Formalism
(São Paulo, June 2020) $\to$ postponed
YEP XVII: Interacting Particle Systems
(Eindhoven, May 2020) $\to$ cancelled
Geometry, Analysis and Mathematical Physics (Beirut, February 2020)
50 Years of Random Cluster Model (Leiden, June 2019)
Symbolic Dynamical Systems (Oaxaca, May 2019)
Statistical mechanics, gmeasures and PCA (Créteil, April 2019)
Mathematical Physics of Nonperiodic Structures (Będlewo, July 2018)



Slides of Recent Talks



Preprints



Publications
[2020]
(with Sebastián Barbieri, Ricardo Gómez, Brian Marcus and Tom Meyerovitch),
Gibbsian representations of continuous specifications:
the theorems of Kozlov and Sullivan revisited,
To appear in Communications in Mathematical Physics.
[ preprint]
[2020]
(with Sebastián Barbieri, Ricardo Gómez and Brian Marcus),
Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups,
Nonlinearity, 33(5), 2409–2454, 2020.
[ preprint]
[2019]
(with Nazim Fatès and
Irène Marcovici),
Cellular Automata for the selfstabilisation of colourings and tilings,
in Proceedings of RP2019,
LNCS 11674,
121–136, Springer, 2019.
[2019]
(with Irène Marcovici and
Mathieu Sablik),
Ergodicity of some classes of cellular automata subject to noise,
Electronic Journal of Probability, 24, paper #41, 44pp, 2019.
[2018]
(with Frank den Hollander
and Francesca Nardi),
Metastability of hardcore dynamics on bipartite graphs,
Electronic Journal of Probability, 23, paper #97, 65pp, 2018.
[2018]
Statistical equilibrium in deterministic cellular automata,
in Probabilistic Cellular Automata: Theory, Applications and Future Perspectives, 145–164, Springer, 2018.
[2017] (with Silvio Capobianco and
Jarkko Kari),
Postsurjectivity and balancedness of cellular automata over groups,
Discrete Mathematics & Theoretical Computer Science, 19(3), 2017.
[2016]
(with Silvio Capobianco and
Jarkko Kari),
An "almost dual" to Gottschalk’s conjecture,
in Proceedings of AUTOMATA2016,
LNCS 9664,
77–89, Springer, 2016.
[2016]
(with Nazim Fatès and
Irène Marcovici),
Twodimensional traffic rules and the density classification problem,
in Proceedings of AUTOMATA2016,
LNCS 9664,
135–148, Springer, 2016.
[2015]
Restricted density classification in one dimension,
in Proceedings of AUTOMATA2015,
LNCS 9099, 238–250, Springer, 2015.
[2015] (with Jarkko Kari),
Statistical mechanics of surjective cellular automata,
Journal of Statistical Physics, 160(5):1198–1243, 2015.
[2013] (with Amir Daneshgar and Alireza Rahimi),
Function Simulation, Graph Grammars and Colourings,
International Journal of Computer Mathematics, 90(7):1334–1357, 2013.
[2012] (with Aernout C. D. van Enter and Giulio Iacobelli),
Potts model with invisible colours: Randomcluster representation and PirogovSinai analysis,
Reviews in Mathematical Physics, 24(2):1250004, 2012.
[2012] (with Jarkko Kari),
Conservation laws and invariant measures in surjective cellular automata,
in Proceedings of AUTOMATA2011,
DMTCS, 113–122, 2012.
[2012] (with Enrico Formenti, JeanPaul Comet, and Gilles Bernot),
On the impact of distance between two genes on their interaction curve,
Journal of Mathematical Biology, 64(1–2):131–147, 2012.
Preliminary results presented in MTNS2010.
[2012] Conservation Laws in Cellular Automata,
in G. Rozenberg et al. (Eds.), Handbook of Natural Computing (Vol I), 259–286, Springer, 2012.
[2011] (with Aernout C. D. van Enter and Giulio Iacobelli),
Firstorder transition in Potts models with ``invisible'' states: Rigorous proofs,
Progress of Theoretical Physics, 126(5):983–991, 2011.
[2011] (with Enrico Formenti and Jarkko Kari),
On the hierarchy of conservation laws in a cellular automaton,
Natural Computing, 10(4):1275–1294, 2011.
[2010] (with Amir Daneshgar and Hossein Hajiabolhassan),
On the Complexity of Unique List Colourability and the Fixing Number of Graphs,
Ars Combinatoria, 97, 2010.
[2008] (with Jarkko Kari),
Combinatorics of Conservation Laws,
Bulletin of the EATCS, 95:183–197, June 2008.
[2008] (with Jarkko Kari),
A Particle Displacement Representation for Conservation Laws in TwoDimensional Cellular Automata,
in Proceedings of JAC2008, B. Durand (Ed.), 65–73, 2008.
[2008] (with Enrico Formenti and Jarkko Kari),
The Most General Conservation Law for a Cellular Automaton,
in Proceedings of CSR2008, E. A. Hirsch et al. (Eds.), LNCS 5010, 194–203, 2008.
[2008] (with Tim Boykett and Jarkko Kari),
Conservation Laws in Rectangular CA, Journal of Cellular Automata, 3(2):115–122, 2008.
[2007] Cellular Automata Reversible over Limit Set,
Journal of Cellular Automata, 2(2):167–177, 2007.



Theses
[2009] Conservation Laws in Cellular Automata, Ph.D. thesis, University of Turku, 2009.
Supervisor: Professor Jarkko Kari. Opponent: Professor Bruno Durand.
Errata to be added.
[2004] Multiparty Interactive Protocols and Some Applications (in Persian), Master's Thesis,
Department of Mathematical Sciences, Sharif University of Technology. Supervisor: Professor Amir Daneshgar.



Miscellaneous









Resources for Mathematicians

