Juggling Drops and Descents
Juggling Permutations of the Integers
We will discuss permutations f of the integers Z
satisfying $f(x) \ge x$, and will give applications to
juggling patterns. Demonstrations will be included.
Vancouver, WA, USA
B.A. Reed College 1972
Ph.D. Harvard University 1977
Many years ago, Ron Graham taught Tom Brown (at Simon
Fraser University) to juggle. Tom then taught me to juggle, and
I've been juggling seriously ever since. Other non-mathematical
interests include playing golf, various outdoor sports, and even
playing the piano on occasion. My mathematical interests include
computational algebraic number theory, algebra, and cryptography.
It continues to amaze me that the ``site swap'' idea is
fertile enough to provide inspiration both in mathematics and in juggling.