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@book{book1,
title = {Solvable cellular automata -- methods and applications},
author = {H. Fuk{\'{s}}},
publisher = {Springer},
year = {2023},
url = {https://link.springer.com/book/9783031386992},
doi = {10.1007/978-3-031-38700-5},
hfkey = {ca}
}
@misc{paper75,
title = {Solving the initial value problem for cellular automata by pattern decomposition},
author = {H. Fuk{\'{s}}},
year = {2023},
note = {submitted},
hfkey = {ca}
}
@incollection{paper71,
title = {Four state deterministic cellular automaton rule emulating random diffusion},
author = {H. Fuk{\'{s}}},
year = {2022},
hfkey = {ca},
editor = {B. Chopard},
booktitle = {Cellular Automata, ACRI 2022},
publisher = {Springer},
series = {LNCS 13402},
pages = {142--152},
url = {https://link.springer.com/chapter/10.1007/978-3-031-14926-9_13},
doi = {10.1007/978-3-031-14926-9_13},
hfkey = {ca}
}
@article{paper69,
title = {Deterministic cellular automata resembling diffusion},
author = {H. Fuk{\'{s}} and S. A. Mudiyanselage},
journal = {Int. J. Mod. Phys. C},
year = {2022},
eprint = {arXiv:2108.08353},
hfkey = {ca},
pages = {2250148},
volume = {33},
doi = {10.1142/S0129183122501480},
number = {11}
}
@article{paper67,
author = {H. Fuk{\'{s}} and Y. Yin},
title = {Approximating dynamics of a number-conserving cellular automaton by a finite-dimensional dynamical system},
journal = {Int. J. Mod. Phys. C},
year = {2020},
volume = {31},
number = {12},
pages = {2050172},
doi = {10.1142/S0129183120501727},
url = {https://www.worldscientific.com/doi/10.1142/S0129183120501727},
hfkey = {ca}
}
@article{paper66,
author = {H. Fuk{\'{s}} and R. Procyk},
title = {Explorations of ternary cellular automata and ternary density classification problems},
journal = {Acta Physica Polonica Supp.},
year = {2019},
volume = {12},
number = {1},
pages = {75--89},
eprint = {arXiv:2002.08924},
pdf = {https://www.actaphys.uj.edu.pl/S/12/1/75/pdf},
doi = {10.5506/APhysPolBSupp.12.75},
hfkey = {ca,dcp}
}
@incollection{paper64,
author = {Fuk{\'{s}}, Henryk and Francis Kwaku Combert},
title = {Evaluating the Quality of Local Structure Approximation Using Elementary Rule 14},
pages = {43--56},
editor = {Jan M. Baetens and Martin Kutrib},
booktitle = {Cellular Automata and Discrete Complex Systems - 24th {IFIP} {WG} 1.5 International Workshop, {AUTOMATA} 2018, Ghent, Belgium, June 20-22, 2018, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {10875},
publisher = {Springer},
year = {2018},
url = {https://doi.org/10.1007/978-3-319-92675-9},
doi = {10.1007/978-3-319-92675-9},
pdf = {https://link.springer.com/content/pdf/10.1007%2F978-3-319-92675-9_4.pdf},
eprint = {arXiv:2002.08920},
hfkey = {ca}
}
@incollection{paper62,
author = {Fuk{\'{s}}, Henryk},
editor = {Meyers, Robert A.},
title = {Orbits of {B}ernoulli Measures in Cellular Automata},
booktitle = {Encyclopedia of Complexity and Systems Science},
year = {2017},
publisher = {Springer},
address = {Berlin, Heidelberg},
pages = {1--19},
doi = {10.1007/978-3-642-27737-5-676-1},
url = {https://doi.org/10.1007/978-3-642-27737-5_676-1},
hfkey = {ca}
}
@article{paper59,
author = {H. Fuk\'s},
title = {Explicit solution of the {C}auchy problem for cellular automaton rule~172},
journal = {J. of Cellular Automata},
volume = {12},
number = {6},
pages = {423--444},
year = {2017},
eprint = {arXiv:2002.09362},
hfkey = {ca}
}
@article{paper57,
title = {An example of a deterministic cellular automaton exhibiting linear-exponential convergence to the steady state},
author = {H. Fuk\'s and J. Midgley-Volpato},
year = 2016,
journal = {Acta Phys. Pol. B},
volume = {9},
number = {1},
pages = {49--62},
eprint = {arXIv:1704.00716},
pdf = {http://www.actaphys.uj.edu.pl/fulltext?series=Sup&vol=9&page=49},
hfkey = {ca}
}
@inproceedings{paper55,
title = {An Example of Degenerate Hyperbolicity in Cellular Automaton with 3 States},
year = {2015},
author = {H. Fuk\'s and J. Midgley-Volpato},
booktitle = {21st International Workshop on Cellular Automata and Discrete Complex Systems},
editor = {J. Kari and I. T\"orm\"a and M. Szabados},
volume = {24},
pages = {47--55},
address = {Turku, Finland},
series = {TUCS Lecture Notes},
eprint = {arXiv:1506.06649},
hfkey = {ca}
}
@incollection{paper54,
author = {H. Fuk\'s},
title = {Computing the density of ones in probabilistic cellular automata by direct recursion},
series = {Lecture Notes in Computer Science},
year = {2018},
pages = {131--144},
doi = {10.1007/978-3-319-65558-1},
booktitle = {Probabilistic Cellular Automata - Theory, Applications and Future Perspectives},
editor = {P. Y. Louis and F. R. Nardi},
eprint = {arXiv:1506.06655},
publisher = {Springer},
hfkey = {ca}
}
@article{paper53,
author = {H. Fuk\'s},
title = {Solving Two-dimensional Density Classification Problem with Two Probabilistic Cellular Automata},
journal = {Journal of Cellular Automata},
volume = 10,
number = {1--2},
pages = {149--160},
year = {2015},
eprint = {arXiv:1506.06653},
hfkey = {ca,dcp}
}
@article{paper52,
author = {H. Fuk\'s and J-M. G\'omez Soto},
title = {Exponential convergence to equilibrium in cellular automata asymptotically emulating identity},
journal = {Complex Systems},
year = {2014},
volume = {23},
pages = {1--26},
pdf = {http://www.complex-systems.com/pdf/23-1-1.pdf},
eprint = {arXiv:1306.1189},
doi = {10.25088/complexsystems.23.1.1},
hfkey = {ca}
}
@article{paper51,
author = {H. Fuk{\'s}},
title = {Minimal entropy approximation for cellular automata},
journal = {J. of Statistical Mechanics: Theory and Experiment},
year = {2014},
volume = {4},
pages = {P02009},
eprint = {arXiv:1305.1240},
doi = {doi:10.1088/1742-5468/2014/02/P02009},
month = {April},
hfkey = {ca}
}
@article{paper50,
author = {H. Fuk{\'s}},
title = {Construction of local structure maps for cellular automata},
journal = {J. of Cellular Automata},
year = {2013},
volume = {7},
pages = {455--488},
eprint = {arXiv:1304.8035},
hfkey = {ca}
}
@article{paper49,
author = {H. Fuk{\'s} and N. Fat{\`{e}}s},
title = {Local structure approximation as a predictor of second-order phase transitions in asynchronous cellular automata},
year = {2015},
eprint = {arXiv:1312.5244},
volume = {14},
issue = {4},
journal = {Natural Computing},
pages = {507--522},
doi = {10.1007/s11047-015-9521-6},
hfkey = {ca}
}
@inproceedings{paper49a,
author = {H. Fuk{\'s} and N. Fat{\`{e}}s},
title = {Bifurcations of Local Structure Maps as Predictors of Phase Transitions in Asynchronous Cellular Automata},
booktitle = {Lecture Notes in Computer Science},
year = {2014},
volume = {8751},
pages = {556--560},
publisher = {Springer},
doi = {10.1007/978-3-319-11520-7_58},
pdf = {http://lie.ac.brocku.ca/~hfuks/publications/paper49a.pdf},
hfkey = {ca}
}
@inproceedings{paper45,
author = {H. Fuk\'s and A. Skelton},
title = {Classification of two-dimensional binary cellular automata with respect to surjectivity},
booktitle = {Proceedings of the 2012 International Conference on Scientific Computing: CSC-2012},
year = {2012},
pages = {51--57},
publisher = {CSERA Press},
eprint = {arXiv:1208.0771},
pdf = {https://worldcomp-proceedings.com/proc/p2012/CSC2550.pdf},
hfkey = {ca}
}
@article{paper44,
author = {H Fuk\'s and A. Skelton},
title = {Orbits of {B}ernoulli measure in single-transition asynchronous cellular automata},
journal = {Dis. Math. Theor. Comp. Science},
year = {2012},
volume = {AP},
pages = {95--112},
pdf = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAP0107},
doi = {https://doi.org/10.46298/dmtcs.2972},
hfkey = {ca}
}
@article{paper43,
author = {J-M. G\'omez Soto and H. Fuk\'s},
title = {Performance of the majority voting rule in solving the density classification problem in high dimension},
journal = {J. Phys. A: Math. Theor.},
year = {2011},
volume = {44},
pages = {art. no. 445101},
doi = {10.1088/1751-8113/44/44/445101},
pdf = {http://lie.ac.brocku.ca/~hfuks/publications/paper43.pdf},
hfkey = {ca,dcp}
}
@inproceedings{paper41,
author = {H. Fuk\'s and A. Skelton},
title = {Response curves and preimage sequences of two-dimensional cellular automata},
booktitle = {Proceedings of the 2011 International Conference on Scientific Computing: CSC-2011},
eprint = {arXiv:1108.1559},
pages = {165--171},
year = {2011},
publisher = {CSERA Press},
hfkey = {ca}
}
@article{paper40,
author = {H. Fuk\'s and A. Skelton},
title = {Response curves for cellular automata in one and two dimensions -- an example of rigorous calculations},
journal = {International Journal of Natural Computing Research},
volume = {1},
issue = {3},
pages = {85--99},
year = {2010},
eprint = {arXiv:1108.1987},
doi = {10.4018/jncr.2010070106},
hfkey = {ca}
}
@article{paper39,
author = {H. Fuk{\'s}},
title = {Probabilistic initial value problem for cellular automaton rule 172},
journal = {DMTCS proc.},
year = {2010},
volume = {AL},
pages = {31--44},
eprint = {arXiv:1007.1026},
doi = {10.46298/dmtcs.2761},
hfkey = {ca}
}
@inbook{paper36,
title = {Modeling, Simulation, and Optimization},
author = {H. Fuk{\'s}},
chapter = {Cellular automata simulations - tools and techniques},
publisher = {IN-TECH},
year = {2009},
address = {Vienna},
pages = {223--243},
note = {ISBN 978-953-307-056-8},
pdf = {http://cdn.intechopen.com/pdfs-wm/10335.pdf},
doi = {10.5772/9044},
hfkey = {ca}
}
@article{paper34,
author = {H. Fuk{\'s} and J. Haroutunian},
title = {Catalan numbers and power laws in cellular automaton rule 14},
journal = {Journal of cellular automata},
year = {2009},
volume = {4},
pages = {99-110},
eprint = {arXiv:0711.1338},
hfkey = {ca}
}
@article{paper31,
author = {H. Fuk{\'s} and K. Sullivan},
title = {Enumeration of number-conserving cellular automata rules with two inputs},
journal = {Journal of Cellular Automata},
year = {2007},
volume = {2},
pages = {141--148},
eprint = {arXiv:0711.1349},
url = {https://www.oldcitypublishing.com/journals/jca-home/jca-issue-contents/jca-volume-2-number-2-2007/jca-2-2-p-141-148},
hfkey = {ca}
}
@article{paper28,
author = {N. Boccara and H. Fuk{\'s}},
title = {Motion representation of one-dimensional cellular automaton rules},
journal = {Int. J. Mod. Phys. C},
year = {2006},
pages = {1605--1611},
volume = {17},
eprint = {arXiv:nlin.CG/0501043},
doi = {10.1142/S0129183106010029},
hfkey = {ca}
}
@article{paper27,
author = {H. Fuk{\'s}},
title = {Dynamics of the cellular automaton rule 142},
journal = {Complex Systems},
volume = {16},
pages = {123--138},
year = {2006},
eprint = {arXiv:nlin/0610077},
pdf = {http://www.complex-systems.com/pdf/16-2-2.pdf},
hfkey = {ca}
}
@article{paper25,
author = {H. Fuk{\'s}},
title = {Critical behaviour of number-conserving cellular automata with nonlinear fundamental diagrams},
journal = {J. Stat. Mech.: Theor. Exp.},
year = {2004},
note = {art. no. P07005},
doi = {10.1088/1742-5468/2004/07/P07005},
eprint = {arXiv:nlin/0610078},
hfkey = {ca}
}
@article{paper23,
author = {H. Fuk{\'s}},
title = {Remarks on the Critical Behavior of Second Order Additive Invariants in Elementary Cellular Automata},
journal = {Fundamenta Informaticae},
year = {2007},
volume = {78},
pages = {329-341},
eprint = {arXiv:nlin.CG/0502037},
pdf = {https://content.iospress.com/articles/fundamenta-informaticae/fi78-3-03},
hfkey = {ca}
}
@inproceedings{paper22,
author = {A. Gerisch and A. T. Lawniczak and R. A. Budiman and H. E. Ruda and H. Fuk{\'s}},
booktitle = {Proceedings of Canadian Conference on Electrical and Computer Engineering, Montreal, May 2003},
pages = {1413--1416},
title = {Lattice gas cellular automaton modeling of surface roughening in homoepitaxial growth in nanowires},
year = {2003},
doi = {10.1109/CCECE.2003.1226165},
pdf = {http://lie.ac.brocku.ca/~hfuks/publications/paper22.pdf},
hfkey = {ca,model}
}
@article{paper21,
author = {H. Fuk{\'s}},
journal = {Nonlinearity},
title = {Probabilistic cellular automata with conserved quantities},
year = {2004},
volume = {17},
pages = {159--173},
eprint = {arXiv:nlin.CG/0305051},
doi = {10.1088/0951-7715/17/1/010},
hfkey = {ca}
}
@article{paper20,
author = {H. Fuk{\'s}},
journal = {Phys. Rev. E},
title = {Non-deterministic density classification with
diffusive probabilistic cellular automata},
year = {2002},
volume = {66},
pages = {066106},
eprint = {arXiv:nlin.CG/0302015},
doi = {10.1103/PhysRevE.66.066106},
hfkey = {ca,dcp}
}
@article{paper19,
author = {H. Fuk{\'s} and N. Boccara},
journal = {Phys. Rev. E},
title = {Convergence to equilibrium in a class of interacting particle systems},
year = {2001},
volume = {64},
pages = {016117},
eprint = {arXiv:nlin.CG/0101037},
doi = {10.1103/PhysRevE.64.016117},
hfkey = {ca}
}
@article{paper14,
author = {N. Boccara and H. Fuk{\'s}},
journal = {J. Phys. A: Math. Gen.},
pages = {3407--3415},
title = {Critical behavior of a cellular automaton highway traffic model},
volume = {33},
year = {2000},
eprint = {arXiv:cond-mat/9911039},
doi = {10.1088/0305-4470/33/17/301},
hfkey = {ca,model}
}
@article{paper12,
author = {N. Boccara and H. Fuk{\'s}},
journal = {Fundamenta Informaticae},
volume = {52},
pages = {1--13},
title = {Number-conserving cellular automaton rules},
year = {2002},
pdf = {https://content.iospress.com/articles/fundamenta-informaticae/fi52-1-3-02},
eprint = {arXiv:adap-org/9905004},
hfkey = {ca}
}
@article{paper11,
author = {H. Fuk{\'s}},
journal = {Phys. Rev. E},
pages = {197--202},
title = {Exact results for deterministic cellular automata traffic models},
volume = {60},
year = {1999},
eprint = {arXiv:comp-gas/9902001},
doi = {10.1103/PhysRevE.60.197},
hfkey = {ca,model}
}
@inproceedings{paper10,
author = {H. Fuk{\'s}},
booktitle = {Hydrodynamic Limits and Related Topics},
editor = {S. Feng, A. T. Lawniczak and R. S. Varadhan},
series = {Fields Institute Communications Series},
title = {A class of cellular automata equivalent to deterministic particle systems},
year = {2000},
address = {Providence, RI},
publisher = {AMS},
doi = {10.1090/fic/027/03},
eprint = {arXiv:nlin.CG/0207047},
hfkey = {ca}
}
@article{paper8,
author = {N. Boccara and H. Fuk{\'s}},
journal = {J. Phys. A: Math. Gen.},
pages = {6007--6018},
title = {Cellular Automaton Rules Conserving the Number of Active Sites},
volume = {31},
year = {1998},
eprint = {arXiv:adap-org/9712003},
doi = {10.1088/0305-4470/31/28/014},
hfkey = {ca}
}
@inproceedings{paper7,
address = {Dordrecht},
author = {N. Boccara and H. Fuk{\'s}},
booktitle = {Cellular Automata: A Parallel Model},
editor = {M. Delorme and J. Mazoyer},
publisher = {Kluwer Academic Publishers},
title = {Modeling Diffusion of Innovations with Probabilistic Cellular Automata},
year = {1998},
pages = {263--277},
eprint = {arXiv:adap-org/9705004},
doi = {10.1007/978-94-015-9153-9_9},
hfkey = {ca,model}
}
@article{paper6,
author = {N. Boccara and H. Fuk{\'s} and Q. Zeng},
journal = {J. Phys. A: Math. Gen.},
pages = {3329-3332},
title = {Car accidents and number of stopped cars due to road blockage on a one-lane highway},
volume = {30},
year = {1997},
eprint = {arXiv:adap-org/9704001},
doi = {10.1088/0305-4470/30/10/012},
hfkey = {model,ca}
}
@article{paper5,
author = {H. Fuk{\'s} and N. Boccara},
journal = {Int. J. Mod. Phys. C},
pages = {1-12},
title = {Generalized Deterministic Traffic Rules},
volume = {9},
year = {1998},
eprint = {arXiv:adap-org/9705003},
doi = {10.1142/S0129183198000029},
hfkey = {ca,model}
}
@article{paper4,
author = {H. Fuk{\'s}},
journal = {Phys. Rev. E},
pages = {2081R--2084R},
title = {Solution of the density classification problem with two cellular automata rules},
volume = {55},
year = {1997},
eprint = {arXiv:comp-gas/9703001},
doi = {10.1103/PhysRevE.55.R2081},
hfkey = {ca,dcp}
}
@techreport{paper3old,
address = {Toronto},
author = {H. Fuk{\'s}},
institution = {The Fields Institute for Research in Mathematical Sciences},
number = {FI-NP-2000-001},
title = {Regularities in Sequences of Numbers of Preimages in Elementary Cellular Automata},
type = {Report},
year = {2000},
hfkey = {ca}
}
@article{paper3,
author = {H. Fuk{\'s}},
journal = {Complex systems},
volume = {14},
pages = {29--43},
title = {Sequences of preimages in elementary cellular automata},
year = {2003},
pdf = {http://www.complex-systems.com/pdf/14-1-2.pdf},
doi = {10.25088/ComplexSystems.14.1.29},
eprint = {arXiv:1305.6533},
hfkey = {ca}
}
@unpublished{paper2,
author = {H. Fuk{\'s} and N. Boccara},
title = {Cellular Automata Models for Diffusion of Innovations},
year = {1997},
eprint = {arXiv:adap-org/9704002},
note = {Unpublished},
hfkey = {ca,model}
}
@article{paper1,
author = {N. Boccara and H. Fuk{\'s} and S. Geurten},
journal = {Physica D},
pages = {145--154},
title = {A New Class of Automata Networks},
volume = {103},
year = {1997},
eprint = {arXiv:chao-dyn/9610002},
doi = {10.1016/S0167-2789(97)00257-1},
hfkey = {ca}
}
This file was generated by bibtex2html 1.99.