Lieb-Robinson bounds in classical oscillating lattice systems
Mathematical Physics
2025-11-03 v1 math.MP
Abstract
The aim of this paper is two-fold. First, we prove the existence of Lieb-Robinson bounds for classical particle systems describing harmonic oscillators interacting with arbitrarily many neighbors, both on lattices and on more general structures. Second, we prove the existence of a global dynamical system on the commutative resolvent algebra, a C*-algebra of bounded continuous functions on an infinite dimensional vector space, which serves as the classical analog of the Buchholz--Grundling resolvent algebra.
Keywords
Cite
@article{arxiv.2510.27495,
title = {Lieb-Robinson bounds in classical oscillating lattice systems},
author = {Ian Koot and C. J. F. van de Ven},
journal= {arXiv preprint arXiv:2510.27495},
year = {2025}
}