Knots in Random Walks

Authors

Nicholas Pippenger, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

1989

Abstract

For even n≥4, let π_n denote the probability that a random self-avoiding polygon of n steps on the three-dimensional cubic lattice is unknotted. We show that [image of equation]*, for some constant C<1.

*Image was removed for formatting purposes.

Rights Information

© 1989 Elsevier Ltd.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/0166-218X(89)90005-X

Recommended Citation

Nicholas Pippenger, Knots in random walks, Discrete Applied Mathematics, Volume 25, Issue 3, November 1989, Pages 273-278, ISSN 0166-218X, 10.1016/0166-218X(89)90005-X. (http://www.sciencedirect.com/science/article/pii/0166218X8990005X)