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

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  • Schreiber, T.
  • Yukich, J.E.

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.

Suggested Citation

  • Schreiber, T. & Yukich, J.E., 2005. "Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs," Stochastic Processes and their Applications, Elsevier, vol. 115(8), pages 1332-1356, August.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:8:p:1332-1356
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    Cited by:

    1. Hirsch, Christian & Jahnel, Benedikt & Cali, Elie, 2019. "Continuum percolation for Cox point processes," Stochastic Processes and their Applications, Elsevier, vol. 129(10), pages 3941-3966.

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