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math.PR2005★ 1 cited
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…
math.PR2003★ 30 cited
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…