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First passage percolation on a Poisson lattice

Posted on:1992-02-09Degree:Ph.DType:Dissertation
University:Cornell UniversityCandidate:Friedman, Erich JFull Text:PDF
GTID:1470390017950282Subject:Mathematics
Abstract/Summary:
We study a first passage percolation model in which the sites are a Poisson point process in ;We can prove one fact not known about first passage percolation on ;(2) Theorem. Let ;We use the same technique to prove a similar result for nonhomogeneous first passage percolation on Z;(1) Theorem. Let ;(3) Theorem. If...
Keywords/Search Tags:First passage percolation
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