Motzkin numbers out of Random Domino Automaton
classification
🧮 math-ph
math.COmath.MPnlin.CGnlin.SIphysics.geo-ph
keywords
automatondominomotzkinnumbersrandomcaseallowsasymptotic
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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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