 98198 Spohn, H.
 Dyson's Model of Interacting Brownian Motions
at Arbitrary Coupling Strength
(30K, LaTex)
Mar 15, 98

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Abstract. For Dyson's model of Brownian motions we prove that
the fluctuations are of order one and, in a scaling limit, are governed
by an infinite dimensional OrnsteinUhlenbeck process. This extends a
previous result valid only at the free Fermion point $\beta = 2$.
Dyson's model can also be interpreted as a random surface.
Our result implies that the surface statistics is governed by a
massless Gaussian field in the scaling limit.
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