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 ...

Taiwanese Journal of Mathematics, Vol. 10, No. 2, Special Issue: Proceedings of the International Conference on Analysis and Its Applications, 2004 (February 2006), pp. 327-338 (12 pages) In this note ...

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 — ...