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.
Original language | English (US) |
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Pages (from-to) | 1956-1959 |
Number of pages | 4 |
Journal | Journal of Mathematical Physics |
Volume | 16 |
Issue number | 9 |
DOIs | |
State | Published - 1974 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics