4 papers
An exponential limit shape of random -proportion Bulgarian solitaire
Kimmo Eriksson, Markus Jonsson abd Jonas Sjöstrand
We introduce \emph{-random -proportion Bulgarian solitaire} (), played on cards distributed in piles. In each pile, a number of cards equal to the pro…
Limit shapes of stable configurations of a generalized Bulgarian solitaire
Kimmo Eriksson, Markus Jonsson, Jonas Sjöstrand
Bulgarian solitaire is played on cards divided into several piles; a move consists of picking one card from each pile to form a new pile. In a recent generalization, -Bulgar…
Markov chains on graded posets: Compatibility of up-directed and down-directed transition probabilities
Kimmo Eriksson, Markus Jonsson, Jonas Sjöstrand
We consider two types of discrete-time Markov chains where the state space is a graded poset and the transitions are taken along the covering relations in the poset. The first type…
The Limit Shape of a Stochastic Bulgarian Solitaire
Kimmo Eriksson, Markus Jonsson, Jonas Sjöstrand
We consider a stochastic version of Bulgarian solitaire: A number of cards are distributed in piles; in every round a new pile is formed by cards from the old piles, and each card…