We develop a new, random walk-based, algorithm for the Hamiltonian cycle problem. The random walk is on pairs of extreme points of two suitably constructed polytopes. The latter are derived from ...

Lecture Notes-Monograph Series, Vol. 30, Statistics, Probability and Game Theory: Papers in Honor of David Blackwell (1996), pp. 45-63 (19 pages) In 1962 Blackwell derived the partial Laurent's series ...

This maze of jagged curls looks like something out of the world’s hardest puzzle book. How fast do you think you can solve it? Stuck? Don’t worry. It’s actually more of a connect the dots puzzle. The ...

Physicists have done a remarkable job explaining the chaos of the universe with well-behaved equations, but certain situations remain mysterious. Among these are collections of many tiny particles — ...