Motzkin numbers out of Random Domino Automaton

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.

short paper

References in corpus (2)

• Ito equations out of domino cellular automaton with efficiency parameters
• Discrete integrable systems, positivity, and continued fraction rearrangements

Cited by in corpus (2)

• Analytic approach to stochastic cellular automata: exponential and inverse power distributions out of Random Domino Automaton
• Finite Random Domino Automaton