Motzkin numbers out of Random Domino Automaton

Details Motzkin numbers out of Random Domino Automaton Motzkin numbers out of Random Domino Automaton

2011-02-02

arxiv.org/abs/1102.0437v1

Physics

Mathematical Physics

short paper

Scientific paper

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.

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