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Monotonicity of the probability of percolation for Bernoulli random fields on periodic graphs

✍ Scribed by E. S. Antonova; Yu. P. Virchenko


Publisher
Springer US
Year
2011
Tongue
English
Weight
133 KB
Volume
175
Category
Article
ISSN
1573-8795

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Under a symmetry condition, the probability of a union of events can be expressed in terms of the harmonic mean number of events which occur, conditioned on a specific event occurring. This leads to improvements of Boole's inequality in settings where standard inclusion-exclusion techniques fail. Ap