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Isoperimetric and related bounds on configuration spaces
- Source :
-
Statistics & Probability Letters . Oct2008, Vol. 78 Issue 14, p2154-2164. 11p. - Publication Year :
- 2008
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01677152
- Volume :
- 78
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Statistics & Probability Letters
- Publication Type :
- Periodical
- Accession number :
- 34199804
- Full Text :
- https://doi.org/10.1016/j.spl.2008.02.002