Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155153 | Statistics & Probability Letters | 2008 | 11 Pages |
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
Christian Houdré, Nicolas Privault,