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.
|Original language||English (US)|
|Number of pages||4|
|Journal||Journal of Mathematical Physics|
|State||Published - 1974|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics