Junior Docent
Mathematical
Institute, Utrecht University
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Teaching
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Research
Interests
- Probability and Statistical Mechanics
- Symbolic Dynamical Systems and Ergodic Theory
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Work in Progress
[2012] (with Roberto
Fernández) A dynamical
view of Dobrushin’s uniqueness theorem.
[2012] (with Jarkko Kari) Statistical mechanics of surjective
cellular automata. Working paper.
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Publications
[2012] (with
Amir
Daneshgar and Alireza Rahimi), Function
Simulation, Graph Grammars and Colourings, to appear in the
International Journal of Computer Mathematics.
[2011] (with Aernout
C. D.
van
Enter and Giulio Iacobelli), Potts
model with invisible
colours: Random-cluster representation and Pirogov-Sinai analysis,
Reviews in Mathematical Physics, 24(2):1250004, 2012.
[2011] (with Jarkko Kari), Conservation
laws and invariant
measures in surjective cellular automata, in Proceedings of AUTOMATA-2011, DMTCS,
113--122, 2012.
[2011]
(with Aernout C. D. van
Enter and Giulio Iacobelli), First-order
transition in Potts models
with ``invisible'' states: Rigorous proofs, Progress of Theoretical
Physics, 126(5):983--991, 2011.
[2010] (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 Enrico
Formenti, Jean-Paul
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 MTNS-2010.
[2009] Conservation
Laws in Cellular Automata, in G. Rozenberg et al.
(Eds.), Handbook
of Natural Computing (Vol I), 259--286, Springer, 2012.
[2009] Conservation Laws in Cellular
Automata, Ph.D. thesis, University of Turku, 2009.
Supervisor: Professor Jarkko
Kari. Opponent: Professor Bruno Durand.
[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 Two-Dimensional
Cellular Automata, in Proceedings of JAC-2008, B. Durand (Ed.),
65--73, 2008.
[2007] (with Enrico
Formenti and Jarkko Kari), The Most General
Conservation Law for a Cellular Automaton, in Proceedings of CSR-2008, E. A. Hirsch et al. (Eds.),
LNCS 5010, 194--203, 2008.
[2006] (with Tim
Boykett and Jarkko Kari), Conservation
Laws in Rectangular CA, Journal of Cellular Automata,
3(2):115--122, 2008.
[2005] Cellular Automata Reversible over Limit Set,
Journal of Cellular Automata, 2(2):167--177, 2007.
[2004] (with Amir
Daneshgar and Hossein
Hajiabolhassan), On the
Complexity of Unique List Colourability and the Fixing Number of Graphs,
Ars Combinatoria, 97, 2010.
[2000] (with Amir F.
Dana) Evolutionary Computers,
in Proc. of ISCEE'2000 (3rd Iranian Student Conference on Electrical
Engineering), Nov. 2000, Tehran, Iran.
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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.
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