Reverse juggling processes

Eye Juggling: A Methodology for Interpreting Stories Eye Juggling Outline

Juggling Probabilities

From the right perspective, everything is mathematical — even juggling. In this talk, I'll describe how juggling relates to traditional mathematical fields such as graph theory and look at what happens when a person starts juggling randomly. In doing so, I'll illustrate how these mathematical underpinnings can be useful to even accomplished jugglers. There will be numerous live demonstrations w...

Eye Juggling: A Methodology for Interpreting Stories Eye Juggling Outline

There is an old man, with long, black braids. He stands there, beside that tall cedar tree, singing a song. As he sings that song, what should happen..., his eyes pop out of his head. He continues singing that song and his eyes go up the side of the tree to the top branch. There those eyes look to the east. Then they turn and look to the south. The old man with empty sockets in his head continu...

Juggling Networks

Switching networks of various kinds have come to occupy a prominent position in computer science as well as communication engineering. The classical switching network technology has been space-division-multiplex switching, in which each switching function is performed by a spatially separate switching component (such as a crossbar switch). A recent trend in switching network technology has been...

Multivariate Juggling Probabilities

We consider refined versions of Markov chains related to juggling introduced by Warrington. We further generalize the construction to juggling with arbitrary heights as well as infinitely many balls, which are expressed more succinctly in terms of Markov chains on integer partitions. In all cases, we give explicit product formulas for the stationary probabilities. The normalization factor in on...