van Enter A.C.D. , Zegarlinski B.
Non-periodic long-range order for one-dimensional pair interactions.
(31K, latex)

ABSTRACT.  We show how in one dimensio non-periodic (quasiperiodic) long-range
order can arise due to long-range translation-invariant pair interactions
with quasiperiodically alternating signs.We discuss he Parisi overlap distribution between the uncountably many pure states.