Moment inequalities for ferromagnetic Gibbs distributions
- 1 September 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (9) , 1956-1959
- https://doi.org/10.1063/1.522748
Abstract
Moment inequalities analogous to Khintchine’s inequality (for sums of independent Bernoulli random variables) are obtained for a certain class of random variables which naturally arises in the context of ferromagnetic Ising models and φ4 Euclidean (quantum) field models in a positive external field. These results extend ones obtained previously which applied only to the mean zero (vanishing external field) case.Keywords
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