Geodesic
Asymptotic distribution of entry times in a cellular automaton with annihilating particles
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems (2011).

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This work considers a cellular automaton (CA) with two particles: a stationary particle $1$ and left-going one $\overline{1}$. When a $\overline{1}$ encounters a $1$, both particles annihilate. We derive asymptotic distribution of appearence of particles at a given site when the CA is initialized with the Bernoulli measure with the probabilities of both particles equal to $1/2$. 
@article{DMTCS_2011_special_261_a8,
     author = {K\r{u}rka, Petr and Formenti, Enrico and Dennunzio, Alberto},
     title = {Asymptotic distribution of entry times in a cellular automaton with annihilating particles},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems},
     year = {2011},
     doi = {10.46298/dmtcs.2976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2976/}
}
TY  - JOUR
AU  - Kůrka, Petr
AU  - Formenti, Enrico
AU  - Dennunzio, Alberto
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PY  - 2011
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%A Dennunzio, Alberto
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%J Discrete mathematics & theoretical computer science
%D 2011
%V DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems
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Kůrka, Petr; Formenti, Enrico; Dennunzio, Alberto. Asymptotic distribution of entry times in a cellular automaton with annihilating particles. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems (2011). doi : 10.46298/dmtcs.2976. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2976/

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