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/