Pointwise decay of truncated correlations in chaotic states at low density

We study simple nonequilibrium distributions describing a classical gas of particles interacting via a pair potential ${\phi}(x/{\epsilon})$, in the Boltzmann-Grad scaling ${\epsilon} \rightarrow 0$. We establish bounds for truncated correlations (cumulants) of arbitrary order as a function of the internal separation of particles in a cluster, showing exponential decay for finite range interactions.
Comment: This note has been significantly changed over the past years by S. Simonella and R. Winter. Unfortunately, they were unable to contact A. di Stefano during this period. Since the current version is almost entirely different from the preliminary work with A. di Stefano, it could not be verified that A. di Stefano is in agreement with publishing the article with their name