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Isoperimetric and related bounds on configuration spaces

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  • Houdré, Christian
  • Privault, Nicolas

Abstract

Using finite difference operators, we define a notion of boundary and surface measure for configuration sets under Poisson measures. A Margulis-Russo type identity and a co-area formula are stated with applications to bounds on the probabilities of monotone sets of configurations and on related isoperimetric constants.

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  • Houdré, Christian & Privault, Nicolas, 2008. "Isoperimetric and related bounds on configuration spaces," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2154-2164, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:14:p:2154-2164
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    References listed on IDEAS

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    1. Ilya Molchanov & Sergei Zuyev, 2000. "Variational Analysis of Functionals of Poisson Processes," Mathematics of Operations Research, INFORMS, vol. 25(3), pages 485-508, August.
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