


Teaching



Research Interests
I am interested in the interplay between
statistical mechanics, ergodic theory, probability theory,
cellular automata, combinatorics and computation theory.
Here are some questions and topics (very much outofdate) I think about.



Recent/Upcoming Events
Symbolic Dynamical Systems (Oaxaca, May 2019)
Topics in Mathematical Physics (São Paulo, July 2018)
Mathematical Physics of Nonperiodic Structures (Będlewo, July 2018)
AUTOMATA 2018 (Ghent, June 2018)
Current Trends in Dynamical Systems (Vancouver, July–August 2017)
PIMSCRM Summer School in Probability 2017 (Vancouver, June 2017)
Computability in Europe 2017 (Turku, June 2017)
AUTOMATA 2017 (Milan, June 2017)
Analytic and Probabilistic Combinatorics
(Banff, October 2016)
Transformations in Statistical Mechanics (Leiden, October 2016)
Transversal Aspects of Tilings (Oléron, June 2016)
AUTOMATA 2016 (Zurich, June 2016)
Aperiodic Order (Leiden, May–June 2016)
New developments around x2 x3 conjecture (Jelenia Góra, May 2016)
Trends in Mathematical Crystallisation (Warwick, May 2016)
METASTABILITY (Eindhoven, April 2016)



Slides of Recent Talks



Preprints



Publications
[2018]
Statistical equilibrium in deterministic cellular automata,
To appear in Probabilistic Cellular Automata: Theory, Applications and Future Perspectives, 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.
[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.
[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.



Miscellaneous/Old Writings
[2006] Wang Tiles.
[2004] Multiparty Interactive Protocols and Some Applications (in Persian), Master's Thesis,
Department of Mathematical Sciences, Sharif University of Technology. Supervisor: Professor Amir Daneshgar.







