A system of infinite spins in one dimension is considered. The interaction is given by a pair potential — JxySxSy, where Sx, Sy are the spins at the sites x,yeZ and Jxy = J(\x — y\) where J(|x — y\) decreases asymptotically in an integrable way. The self-interaction makes the system superstable. It is proven that any invariant DLR measure for this system satisfies Ruelle's superstable estimates (regularity condition).
One dimensional DLR measures are regular
DE MASI, Anna
1979-01-01
Abstract
A system of infinite spins in one dimension is considered. The interaction is given by a pair potential — JxySxSy, where Sx, Sy are the spins at the sites x,yeZ and Jxy = J(\x — y\) where J(|x — y\) decreases asymptotically in an integrable way. The self-interaction makes the system superstable. It is proven that any invariant DLR measure for this system satisfies Ruelle's superstable estimates (regularity condition).File in questo prodotto:
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