For a class of infinite lattices of interacting anharmonic oscillators, we study the existence of the dynamics, together with Lieb-Robinson bounds, in a suitable algebra of observables.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-17,
author = {L. Amour and P. L\'evy-Bruhl and J. Nourrigat},
title = {Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {609-648},
zbl = {1187.82015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-17}
}
L. Amour; P. Lévy-Bruhl; J. Nourrigat. Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators. Colloquium Mathematicae, Tome 120 (2010) pp. 609-648. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-17/