Motzkin numbers out of Random Domino Automaton
Mathematical Physics
2012-10-30 v1 Combinatorics
math.MP
Cellular Automata and Lattice Gases
Exactly Solvable and Integrable Systems
Geophysics
Abstract
Motzkin numbers are derived from a special case of Random Domino Automaton - recently proposed toy model of earthquakes. An exact solution of the set of equations describing stationary state of Random Domino Automaton in "inverse-power" case is presented. A link with Motzkin numbers allows to present explicit form of asymptotic behaviour of the automaton.
Keywords
Cite
@article{arxiv.1102.0437,
title = {Motzkin numbers out of Random Domino Automaton},
author = {Mariusz Białecki},
journal= {arXiv preprint arXiv:1102.0437},
year = {2012}
}
Comments
short paper