74 citations · 136 across the 21 of their papers we have counts for
4 papers · 1 filter
Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction
Christopher Henderson, Georg Menz
We investigate unbounded continuous spin-systems with infinite-range interactions. We develop a new technique for deducing decay of correlations from a uniform Poincaré inequality…
Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential
Max Fathi, Georg Menz
We consider an interacting unbounded spin system, with conservation of the mean spin. We derive quantitative rates of convergence to the hydrodynamic limit provided the single-site…
Approximate tensorization of entropy at high temperature
Pietro Caputo, Georg Menz, Prasad Tetali
We show that for weakly dependent random variables the relative entropy functional satisfies an approximate version of the standard tensorization property which holds in the indepe…
A Brascamp-Lieb type covariance estimate
Georg Menz
In this article, we derive a new covariance estimate. The estimate has a similar structure as the Brascamp-Lieb inequality and is optimal for ferromagnetic Gaussian measures. It ca…