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Asymptotic distribution of entry times in a cellular automaton with annihilating particles

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 wi...

Täydet tiedot

Tallennettuna:
Päätekijät: Petr Kůrka, Enrico Formenti, Alberto Dennunzio
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Sarja:Discrete Mathematics & Theoretical Computer Science
Aiheet:
cellular automata
particle systems
entry times
return times
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
[math.math-ds] mathematics [math]/dynamical systems [math.ds]
[nlin.nlin-cg] nonlinear sciences [physics]/cellular automata and lattice gases [nlin.cg]
[math.math-co] mathematics [math]/combinatorics [math.co]
Linkit:https://dmtcs.episciences.org/2976/pdf
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