A Gaussian refinement of the Lieb-Robinson bound
Elliott H. Lieb, Anna Vershynina
TL;DR
This paper discusses a refined version of the Lieb-Robinson bound, proposing a weaker but still superlinear spatial decay rate, after the original proof was withdrawn due to an error.
Contribution
It introduces a modified Lieb-Robinson bound with a superlinear decay rate of exp[-x log x], despite the original proof being withdrawn.
Findings
Proposes a weaker spatial decay bound of exp[-x log x]
Original proof was withdrawn due to an error
Maintains superlinear decay property
Abstract
This paper has been withdrawn by the authors because of an error in the proof. We can, however, prove a weaker spatial fall-off that is still superlinear, namely exp[-x log x].
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Taxonomy
TopicsMarkov Chains and Monte Carlo Methods · Point processes and geometric inequalities · Computational Geometry and Mesh Generation