Corrigendum to: Phase transition in equilibrium fluctuations of symmetric slowed exclusion

Abstract

We present the correct space of test functions for the Ornstein-Uhlenbeck processes defined in \cite{fgn2}. Under these new spaces, an invariance with respect to a second order operator is shown, granting the existence and uniqueness of those processes. Moreover, we detail how to prove some properties of the semi-groups, which are required in the proof of uniqueness.

arXiv commentThis is a corrigendum to the paper "Phase transition in equilibrium fluctuations of symmetric slowed exclusion", published in Stochastic Processes and their Applications, Volume 123, Issue 12, December 2013, Pages 4156-4185