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math.PR2005★ 77 cited
Local structure of random quadrangulations
Maxim Krikun
This paper is an adaptation of a method used in \cite{K} to the model of random quadrangulations. We prove local weak convergence of uniform measures on quadrangulations and show t…
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…