- 95-436 Gielis G., Maes C.
- LOCAL ANALYTICITY AND BOUNDS ON THE TRUNCATED CORRELATION
FUNCTIONS IN DISORDERED SYSTEMS
Oct 2, 95
(auto. generated ps),
of related papers
Abstract. We consider Gibbs fields with local and unbounded random
interactions in the
regime of Griffiths' singularities.
We prove that the singularities are not worse than that of the
randomly diluted ferromagnet and
obtain upperbounds $(\sim C^k(k!)^2)$ for
the semi--invariants of order $k$, for high enough temperature.
To obtain this result, we extend the notion of complete analyticity
to that of local analyticity for non--translation--invariant systems.