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Juggling probabilities

Gregory S. Warrington
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Abstract

The act of a person juggling can be viewed as a Markov process if we assume that the juggler throws to random heights. I make this association for the simplest reasonable model of random juggling and compute the steady state probabilities in terms of the Stirling numbers of the second kind. I also explore several alternate models of juggling.

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Gregory S. Warrington. 2003-02-20. Juggling probabilities. https://arxiv.org/abs/math/0302257

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