418 citations · 1.8k across the 48 of their papers we have counts for
4 papers · 1 filter
Mean-Field Spin Glass models from the Cavity--ROSt Perspective
Michael Aizenman, Robert Sims, Shannon L. Starr
The Sherrington-Kirkpatrick spin glass model has been studied as a source of insight into the statistical mechanics of systems with highly diversified collections of competing low…
Reflectionless Sturm-Liouville Equations
Robert Sims
We consider compactly supported perturbations of periodic Sturm-Liouville equations. In this context, one can use the Floquet solutions of the periodic background to define scatter…
Propagation of Correlations in Quantum Lattice Systems
Bruno Nachtergaele, Yoshiko Ogata, Robert Sims
We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrat…
Absence of reflection as a function of the coupling constant
Rowan Killip, Robert Sims
We consider solutions of the one-dimensional equation where is locally integrable, is integrabl…