2 papers
math.PR2025
Non-coupling from the past
Geoffrey R. Grimmett, Mark Holmes
The method of 'coupling from the past' permits exact sampling from the invariant distribution of a Markov chain on a finite state space. The coupling is successful whenever the sto…
math.PR2024
Hyperbolic site percolation
Geoffrey R. Grimmett, Zhongyang Li
Several results are presented for site percolation on quasi-transitive, planar graphs with one end, when properly embedded in either the Euclidean or hyperbolic plane. If $(G_1…