Schedule

 

Finite or countably infinite state graphs are intertwined with the general theory of positive matrices. I will describe some typical phenomena (such as invariant measures), the existence and properties of which depend on the structure of the state graph in question. Juggling state graphs are nice examples of recurrent graphs that have an invariant measure. In the case of bounded throw heights and no multiplexing, the measure can be calculated explicitly (Greg Warrington 2005).

In a talk directed to a general math-juggling audience, I will explain what all this means, tell about some related questions of interest, and provide a rich list of references. Handouts will be given.