English

Random Bulgarian solitaire

Probability 2012-01-31 v2

Abstract

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.

Cite

@article{arxiv.math/0401385,
  title  = {Random Bulgarian solitaire},
  author = {Serguei Popov},
  journal= {arXiv preprint arXiv:math/0401385},
  year   = {2012}
}

Comments

28 pages, 4 figures; revised version - to appear in Random Structures and Algorithms