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

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 Ornstein-Uhlenbeck 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.