2 papers
math-ph2014
The fixed irreducible bridge ensemble for self-avoiding walks
Michael James Gilbert
We define a new ensemble for self-avoiding walks in the upper half-plane, the fixed irredicible bridge ensemble, by considering self-avoiding walks in the upper half-plane up to th…
math.PR2010
The self-avoiding walk in a strip
Ben Dyhr, Michael Gilbert, Tom Kennedy +2
We review the existence of the infinite length self-avoiding walk in the half plane and its relationship to bridges. We prove that this probability measure is also given by the lim…