Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs

T. Schreiber and J.E. Yukich

Stochastic Processes and their Applications, 2005, vol. 115, issue 8, 1332-1356

Abstract: Functionals of spatial point process often satisfy a weak spatial dependence condition known as stabilization. We prove general Donsker-Varadhan large deviation principles (LDP) for such functionals and show that the general result can be applied to prove LDPs for various particular functionals, including those concerned with random packing, nearest neighbor graphs, and lattice versions of the Voronoi and sphere of influence graphs.

Keywords: Large; deviation; principles; Stabilizing; functionals; Random; Euclidean; graphs; Random; sequential; packing (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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