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KPZ-type fluctuation exponents for interacting diffusions in equilibrium

KPZ-type fluctuation exponents for interacting diffusions in equilibrium

We consider systems of N diffusions in equilibrium interacting through a potential V. We study a "height function," which, for the special choice V(x)=eāˆ’x, coincides with the partition function of a stationary semidiscrete polymer, also known as the (stationary) O'Connellā€“Yor polymer. For a general class of smooth convex potentials (generalizing ā€¦