Random Bulgarian solitaire
Copyright policy )Random Bulgarian solitaire
We consider a stochastic variant of the game of Bulgarian solitaire [M. Gardner (1983), Sci. Amer. 249, 12-21]. For the stationary measure of the random Bulgarian solitaire, we prove that most of its mass is concentrated on (roughly) triangular configurations of certain type.
28 pages, 4 figures; revised version - to appear in Random Structures and Algorithms
- UNIVERSIDADE DE SAO PAULO Brazil
- Universidade de São Paulo Brazil
- Universidade de Sao Paolo Brazil
Probabilistic games; gambling, Combinatorial probability, triangular configuration, Markov chain, Probability (math.PR), stationary measure, 60J10, 05A17, Markov chains (discrete-time Markov processes on discrete state spaces), shape theorem, FOS: Mathematics, Enumerative combinatorics, Mathematics - Probability
Probabilistic games; gambling, Combinatorial probability, triangular configuration, Markov chain, Probability (math.PR), stationary measure, 60J10, 05A17, Markov chains (discrete-time Markov processes on discrete state spaces), shape theorem, FOS: Mathematics, Enumerative combinatorics, Mathematics - Probability
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