Juggling and vector compositions

The Combinatorics of Weighted Vector Compositions

A vector composition of a vector l is a matrix A whose rows sum to l. We define a weighted vector composition as a vector composition in which the column values of A may appear in different colors. We study vector compositions from different viewpoints: (1) We show how they are related to sums of random vectors and (2) how they allow to derive formulas for partial derivatives of composite funct...

Bubblesort and Juggling Sequences

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...

Juggling Mathematics and Magic

The mystery of magic and the artistry of juggling have surprising links to interesting ideas in mathematics. In this note, I will illustrate several of these connections.