The Annals of Probability
- Ann. Probab.
- Volume 9, Number 3 (1981), 365-376.
Subadditive Euclidean Functionals and Nonlinear Growth in Geometric Probability
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.
Ann. Probab. Volume 9, Number 3 (1981), 365-376.
First available in Project Euclid: 19 April 2007
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Steele, J. Michael. Subadditive Euclidean Functionals and Nonlinear Growth in Geometric Probability. Ann. Probab. 9 (1981), no. 3, 365--376. doi:10.1214/aop/1176994411. https://projecteuclid.org/euclid.aop/1176994411.