Recent Submissions

• Undecidability and the developability of permutoids and rigid pseudogroups ﻿

(Cambridge University Press, 2017-03-20)
A $\textit{permutoid}$ is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set. In 2004 Peter Cameron conjectured that there ...
• Four-Dimensional Weakly Self-avoiding Walk with Contact Self-attraction ﻿

(Springer, 2017-04-01)
• Connective constants and height functions for Cayley graphs ﻿

The connective constant $\mu$($\textit{G}$) of an infinite transitive graph $\textit{G}$ is the exponential growth rate of the number of self-avoiding walks from a given origin. In earlier work of Grimmett and Li, a locality ...