- 98-198 Spohn, H.
- Dyson's Model of Interacting Brownian Motions
at Arbitrary Coupling Strength
Mar 15, 98
(auto. generated ps),
of related papers
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.