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Welcome to Siamak Taati's Homepage!



Teaching

[Winter 2016] Introduction to Complex Variables (Math 300), UBC

[Fall 2016] Differential Calculus (Math 100), UBC

[2015 and 2016] Statistics, LUC The Hague

[2013 and 2014] Modern theory of Markov chains, SFM program

Research Interests

I am interested in the interplay between statistical mechanics, symbolic dynamics, probability theory, ergodic theory, combinatorics and computation theory.  Here are some questions and topics (very much out-of-date) I think about.

Recent/Upcoming Events

AUTOMATA 2019 (Guadalajara, June 2019)
Symbolic Dynamical Systems (Oaxaca, May 2019)
Topics in Mathematical Physics (São Paulo, July 2018)
Mathematical Physics of Non-periodic Structures (Będlewo, July 2018)
Current Trends in Dynamical Systems (Vancouver, July–August 2017)

Slides of Recent Talks

Preprints

[2018] (with Sebastián Barbieri, Ricardo Gómez Aíza and Brian Marcus), Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups, Preprint.

[2017] (with Irène Marcovici and Mathieu Sablik), Ergodicity of some classes of cellular automata subject to noise, Preprint.

Publications

[2018] (with Frank den Hollander and Francesca Nardi), Metastability of hard-core dynamics on bipartite graphs, To appear in Electronic Journal of Probability.

[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), Post-surjectivity 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 AUTOMATA-2016, LNCS 9664, 77–89, Springer, 2016.

[2016] (with Nazim Fatès and Irène Marcovici), Two-dimensional traffic rules and the density classification problem, in Proceedings of AUTOMATA-2016, LNCS 9664, 135–148, Springer, 2016.

[2015] Restricted density classification in one dimension, in Proceedings of AUTOMATA-2015, 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: Random-cluster representation and Pirogov-Sinai 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 AUTOMATA-2011, DMTCS, 113–122, 2012.

[2012] (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.

[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), First-order 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 Two-Dimensional Cellular Automata, in Proceedings of JAC-2008, 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 CSR-2008, 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.

Resumé

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Contact Information

Email: siamak [dot] taati [at] gmail [dot] com

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Last Update:  August 2018