74 citations · 136 across the 21 of their papers we have counts for
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math.PR2013★ 12 cited
Decay of correlations in 1D lattice systems of continuous spins and long-range interaction
Georg Menz, Robin Nittka
We consider an one-dimensional lattice system of unbounded and continuous spins. The Hamiltonian consists of a perturbed strictly-convex single-site potential and with longe-range…
math.PR2013★ 2 cited
The approach of Otto-Reznikoff revisited
Georg Menz
In this article we consider a lattice system of unbounded continuos spins. Otto & Reznikoff used the two-scale approach to show that exponential decay of correlations yields a loga…
math.PR2013★ 22 cited
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential
Georg Menz, Felix Otto
We consider a noninteracting unbounded spin system with conservation of the mean spin. We derive a uniform logarithmic Sobolev inequality (LSI) provided the single-site potential i…