Isoperimetric and related bounds on configuration spaces

Christian Houdré and Nicolas Privault

Statistics & Probability Letters, 2008, vol. 78, issue 14, 2154-2164

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.

Date: 2008
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