Subadditive Euclidean Functionals and Nonlinear Growth in Geometric Probability
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Geometry and Topology
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A limit theorem is established for a class of random processes (called here subadditive Euclidean functionals) which arise in problems of geometric probability. Particular examples include the length of shortest path through a random sample, the length of a rectilinear Steiner tree spanned by a sample, and the length of a minimal matching. Also, a uniform convergence theorem is proved which is needed in Karp's probabilistic algorithm for the traveling salesman problem.
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1981
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The Annals of Probability
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At the time of publication, author John M Steele was affiliated with the Stanford University. Currently (June 2016), he is a faculty member in the Information and Decisions Department of the Wharton School at the University of Pennsylvania.