@article{cvgmp24,
title = {{Sandpiles prediction and crossover on Z2 within Moore neighborhood}},
journal = {Natural Computing},
year = {2024},
doi = {10.1007/s11047-024-10002-9},
pdf = {https://doi.org/10.21203/rs.3.rs-3872054/v1},
author = {Concha-Vega, Pablo and Goles, Eric and Montealegre, Pedro and Perrot, K{\'e}vin},
note = {}
}
@article{lp24,
author = {Lutfalla, Victor and Perrot, Kevin},
title = {{Polygonal corona limit on multigrid dual tilings}},
journal = {Preprint},
pages = {19},
year = {2024},
eprint = {2402.01257},
note = {}
}
@article{gmp21,
title = {{Freezing sandpiles and Boolean threshold networks: Equivalence and complexity}},
journal = {Advances in Applied Mathematics},
volume = {125},
pages = {102161},
year = {2021},
doi = {10.1016/j.aam.2020.102161},
eprint = {2101.04204},
author = {Goles, Eric and Montealegre, Pedro and Perrot, K{\'e}vin},
note = {}
}
@article{fp22,
author = {Fersula, J{\'e}r{\'e}my and No{\^u}s, Camille and Perrot, K{\'e}vin},
title = {Sandpile toppling on Penrose tilings: identity and isotropic dynamics},
year = {2022},
journal = {(Chapter) Automata and complexity, Springer Series on Emergence, Complexity and Computation},
volume = {42},
doi = {10.1007/978-3-030-92551-2_10},
eprint = {2006.06254},
note = {}
}
@article{pr20,
title = {On the emergence of regularities on one-dimensional decreasing sandpiles},
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
journal = {Theoretical Computer Science},
year = {2020},
volume = {843},
pages = {1--24},
doi = {10.1016/j.tcs.2020.06.018},
hal = {https://halshs.archives-ouvertes.fr/halshs-02884875},
note = {}
}
@article{fp19,
title = {{How Hard is it to Predict Sandpiles on Lattices? A Survey}},
author = {Formenti, Enrico and Perrot, K{\'e}vin},
year = {2019},
journal = {Fundamenta Informaticae},
volume = {171},
issue = {1-4},
pages = {189--219},
eprint = {1909.12150},
doi = {10.3233/FI-2020-1879},
note = {}
}
@inproceedings{np18,
title = {{Any shape can ultimately cross information on two-dimensional abelian sandpile models}},
author = {Nguyen, Viet-Ha and Perrot, K{\'e}vin},
year = {2018},
booktitle = {Proceedings of AUTOMATA'2018},
pages = {127--142},
volume = {10875},
series = {LNCS},
publisher = {Springer},
doi = {10.1007/978-3-319-92675-9_10},
eprint = {1709.00464},
hal = {https://hal.inria.fr/hal-01824872},
note = {}
}
@article{fpr18,
title = {{Computational complexity of the avalanche problem for one dimensional decreasing sandpiles}},
author = {Formenti, Enrico and Perrot, K{\'e}vin and R{\'e}mila, Eric},
year = {2018},
volume = {13},
issue = {3},
pages = {215--228},
journal = {Journal of Cellular Automata},
hal = {https://halshs.archives-ouvertes.fr/halshs-01417248},
note = {}
}
@article{pr17,
title = {{Strong emergence of wave patterns on Kadanoff sandpiles}},
author = {Perrot, K{\'e}vin and R{\'e}mila, Eric},
year = {2017},
journal = {Electronic Journal of Combinatorics},
volume = {24},
number = {2},
pdf = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i2p4},
hal = {https://halshs.archives-ouvertes.fr/halshs-01417254},
note = {}
}
@inproceedings{pr15b,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Emergence on decreasing sandpile models}},
booktitle = {Proceedings of MFCS'2015},
pages = {419--431},
year = {2015},
optmonth = {August},
volume = {9234},
series = {LNCS},
publisher = {Springer},
hal = {https://halshs.archives-ouvertes.fr/halshs-01212069},
note = {}
}
@article{pr15a,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Piles de sable d{\'e}croissantes 1D : classification exp{\'e}rimentale d'{\'e}mergences}},
journal = {Technique et Science Informatiques -- {A}utomates cellulaires et r{\'e}seaux d'automates~: le r{\^o}le central de l'irr{\'e}gularit{\'e}},
year = {2015},
hal = {https://hal.archives-ouvertes.fr/hal-01738027},
optmonth = {October},
optvolume = {34},
optissue = {4},
optpages = {377--400},
note = {}
}
@article{pr14b,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Emergence of regularities on decreasing sandpile models}},
journal = {{15th Mons Theoretical Computer Science Days, Nancy, France}},
year = {2014},
note = {}
}
@inproceedings{fpr14,
author = {Formenti, Enrico and Perrot, K{\'e}vin and R{\'e}mila, Eric},
title = {{Computational complexity of the avalanche problem on one dimensional Kadanoff sandpiles}},
booktitle = {Proceedings of AUTOMATA'2014},
pages = {21--30},
year = {2014},
volume = {8996},
series = {LNCS},
publisher = {Springer},
eprint = {1803.05498},
note = {}
}
@inproceedings{pr14a,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Emergence of wave patterns on Kadanoff Sandpiles}},
booktitle = {Proceedings of LATIN'2014},
pages = {634--645},
year = {2014},
volume = {8392},
series = {LNCS},
publisher = {Springer},
eprint = {1312.4066},
note = {}
}
@article{pr13,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Kadanoff sand pile model. Avalanche structure and wave shape}},
journal = {Theoretical Computer Science},
volume = {504},
year = {2013},
pages = {52--72},
eprint = {1304.5109},
note = {}
}
@article{pr12,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Kadanoff Sand Piles, following the snowball}},
journal = {Research report},
year = {2012},
pages = {26},
eprint = {1301.0997},
note = {}
}
@inproceedings{ppv11,
author = {Perrot, K{\'e}vin and Phan, Ha Duong and Van Pham, Trung},
title = {{On the set of Fixed Points of the Parallel Symmetric Sand Pile Model}},
booktitle = {Proceedings of AUTOMATA'2011},
pages = {17--28},
year = {2011},
series = {DMTCS},
eprint = {1207.0654},
hal = {https://hal.archives-ouvertes.fr/hal-01196141},
note = {}
}
@inproceedings{pr11b,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Transduction on Kadanoff Sand Pile Model Avalanches, Application to Wave Pattern Emergence}},
booktitle = {Proceedings of MFCS'2011},
pages = {508--520},
year = {2011},
volume = {6907},
series = {LNCS},
publisher = {Springer},
eprint = {1106.2670},
note = {}
}
@inproceedings{pr11a,
author = {Perrot, K{\'e}vin and R{\'e}mila, {\'E}ric},
title = {{Avalanche Structure in the Kadanoff Sand Pile Model}},
booktitle = {Proceedings of LATA'2011},
pages = {427--439},
year = {2011},
volume = {6638},
series = {LNCS},
publisher = {Springer},
eprint = {1101.5940},
note = {}
}
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