30 citations · 35 across the 5 of their papers we have counts for
4 papers · 1 filter
Phase transition for the Ising model on the Critical Lorentzian triangulation
Maxim Krikun, Anatoly Yambartsev
Ising model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high…
Connected allocation to Poisson points in R^2
Maxim Krikun
This note answers one question in [math.PR/0505668], concerning the connected allocation for the Poisson process in R^2. The proposed solution makes use of the Riemann map from the…
Percolating paths through random points :
David Aldous, Maxim Krikun
We prove consistency of four different approaches to formalizing the idea of minimum average edge-length in a path linking some infinite subset of points of a Poisson process. The…
Uniform infinite planar triangulation and related time-reversed critical branching process
Maxim Krikun
We establish a connection between the uniform infinite planar triangulation and some critical time-reversed branching process. This allows to find a scaling limit for the principal…