A BK inequality for randomly drawn subsets of fixed size
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Publication:1934354
DOI10.1007/s00440-011-0386-zzbMath1261.60015arXiv1105.3862OpenAlexW1987956294MaRDI QIDQ1934354
Johan Jonasson, Jacob Van Den Berg
Publication date: 28 January 2013
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.3862
Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Closure properties and negatively associated measures violating the Van den Berg-Kesten inequality
- On a combinatorial conjecture concerning disjoint occurrences of events
- Polynomials with the half-plane property and matroid theory
- Towards a theory of negative dependence
- Negative correlation and log-concavity
- Negative dependence and the geometry of polynomials
- Negative Dependence in Sampling
- Positive Influence and Negative Dependence
- Probability on Graphs
- Inequalities with applications to percolation and reliability
- Percolation
- Balls and bins: A study in negative dependence
- Proof of the Van den Berg–Kesten Conjecture
