Gayral, Léo; Sablik, Mathieu; Taati, Siamak Characterisation of the Set of Ground States of Uniformly Chaotic Finite-Range Lattice Models. arXiv:2302.07326 Preprint, arXiv:2302.07326 [math-ph] (2023). MSC: 82B20 37D35 68Q17 68Q04 68Q87 37B51 05B45 BibTeX Cite \textit{L. Gayral} et al., ``Characterisation of the Set of Ground States of Uniformly Chaotic Finite-Range Lattice Models'', Preprint, arXiv:2302.07326 [math-ph] (2023) Full Text: arXiv OA License
Barbieri, Sebastián; Gómez, Ricardo; Marcus, Brian; Meyerovitch, Tom; Taati, Siamak Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited. (English) Zbl 1465.60082 Commun. Math. Phys. 382, No. 2, 1111-1164 (2021). MSC: 60K35 60G20 82B20 37B10 PDFBibTeX XMLCite \textit{S. Barbieri} et al., Commun. Math. Phys. 382, No. 2, 1111--1164 (2021; Zbl 1465.60082) Full Text: DOI arXiv
Barbieri, Sebastián; Gómez, Ricardo; Marcus, Brian; Taati, Siamak Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups. (English) Zbl 1487.37040 Nonlinearity 33, No. 5, 2409-2454 (2020). MSC: 37D35 37B10 82B44 82B20 60K35 PDFBibTeX XMLCite \textit{S. Barbieri} et al., Nonlinearity 33, No. 5, 2409--2454 (2020; Zbl 1487.37040) Full Text: DOI arXiv
Marcovici, Irène; Sablik, Mathieu; Taati, Siamak Ergodicity of some classes of cellular automata subject to noise. (English) Zbl 1466.37013 Electron. J. Probab. 24, Paper No. 41, 44 p. (2019). MSC: 37B15 37A35 60J05 60K35 PDFBibTeX XMLCite \textit{I. Marcovici} et al., Electron. J. Probab. 24, Paper No. 41, 44 p. (2019; Zbl 1466.37013) Full Text: DOI arXiv Euclid
Taati, Siamak Statistical equilibrium in deterministic cellular automata. (English) Zbl 1402.37021 Louis, Pierre-Yves (ed.) et al., Probabilistic cellular automata. Theory, applications and future perspectives. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). Emergence, Complexity and Computation 27, 145-164 (2018). MSC: 37B15 82B30 PDFBibTeX XMLCite \textit{S. Taati}, Emerg. Complex. Comput. 27, 145--164 (2018; Zbl 1402.37021) Full Text: DOI arXiv
Capobianco, Silvio; Kari, Jarkko; Taati, Siamak Post-surjectivity and balancedness of cellular automata over groups. (English) Zbl 1407.37015 Discrete Math. Theor. Comput. Sci. 19, No. 3, Paper No. 4, 16 p. (2017). Reviewer: Thomas B. Ward (Leeds) MSC: 37B15 68Q80 37B10 PDFBibTeX XMLCite \textit{S. Capobianco} et al., Discrete Math. Theor. Comput. Sci. 19, No. 3, Paper No. 4, 16 p. (2017; Zbl 1407.37015) Full Text: arXiv Link
Kari, Jarkko; Taati, Siamak Statistical mechanics of surjective cellular automata. (English) Zbl 1360.37044 J. Stat. Phys. 160, No. 5, 1198-1243 (2015). MSC: 37B15 37A60 37D35 37B10 82B20 82C41 PDFBibTeX XMLCite \textit{J. Kari} and \textit{S. Taati}, J. Stat. Phys. 160, No. 5, 1198--1243 (2015; Zbl 1360.37044) Full Text: DOI arXiv
Kari, Jarkko; Taati, Siamak Conservation laws and invariant measures in surjective cellular automata. (English) Zbl 1323.37011 Fatès, Nazim (ed.) et al., Automata 2011. Selected papers based on the presentations at the 17th international workshop on cellular automata and discrete complex systems, Santiago, Chile, November 21–23, 2011. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 113-122, electronic only (2012). MSC: 37B15 PDFBibTeX XMLCite \textit{J. Kari} and \textit{S. Taati}, in: Automata 2011. Selected papers based on the presentations at the 17th international workshop on cellular automata and discrete complex systems, Santiago, Chile, November 21--23, 2011. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 113--122 (2012; Zbl 1323.37011) Full Text: Link
Formenti, Enrico; Kari, Jarkko; Taati, Siamak On the hierarchy of conservation laws in a cellular automaton. (English) Zbl 1251.68148 Nat. Comput. 10, No. 4, 1275-1294 (2011). MSC: 68Q80 37B15 PDFBibTeX XMLCite \textit{E. Formenti} et al., Nat. Comput. 10, No. 4, 1275--1294 (2011; Zbl 1251.68148) Full Text: DOI
Kari, Jarkko; Taati, Siamak Combinatorics of conservation laws. (English) Zbl 1169.68530 Bull. Eur. Assoc. Theor. Comput. Sci. EATCS 95, 183-197 (2008). MSC: 68Q80 37B15 35L65 82C20 PDFBibTeX XMLCite \textit{J. Kari} and \textit{S. Taati}, Bull. Eur. Assoc. Theor. Comput. Sci. EATCS 95, 183--197 (2008; Zbl 1169.68530)