Juggling Probabilities

• Published in 2009
• Added on 2011-03-20

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.

Links

• https://arxiv.org/abs/math/0302257v1
• https://arxiv.org/pdf/math/0302257v1
• http://www.jstor.org/pss/30037409

Other information

BibTeX entry

@article{Warrington2009,
	key = {Warrington2009},
	type = {article},
	title = {Juggling Probabilities},
	author = {Warrington, Gregory S.},
	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. },
	comment = {},
	date_added = {2011-03-20},
	date_published = {2009-01-01},
	urls = {https://arxiv.org/abs/math/0302257v1,https://arxiv.org/pdf/math/0302257v1,http://www.jstor.org/pss/30037409},
	collections = {easily-explained},
	url = {https://arxiv.org/abs/math/0302257v1 https://arxiv.org/pdf/math/0302257v1 http://www.jstor.org/pss/30037409},
	urldate = {2011-03-20},
	year = 2009,
	language = {EN},
	month = {jan},
	publisher = {Mathematical Association of America}
}