Article ID Journal Published Year Pages File Type
1155153 Statistics & Probability Letters 2008 11 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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