Lieb-Robinson bounds in classical oscillating lattice systems

Koot I, Van de Ven C (2026)

Publication Status: Submitted

Publication Type: Unpublished / Preprint

Future Publication Type: Journal article

Publication year: 2026

Publisher: arXiv

DOI: 10.48550/arXiv.2510.27495

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.

Authors with CRIS profile

Ian Koot Lehrstuhl für Mathematik (Operatoralgebren) (Heisenberg-Professur) Christiaan Van de Ven Lehrstuhl für Mathematik (Operatoralgebren) (Heisenberg-Professur)

How to cite

APA:

Koot, I., & Van de Ven, C. (2026). Lieb-Robinson bounds in classical oscillating lattice systems. (Unpublished, Submitted).

MLA:

Koot, Ian, and Christiaan Van de Ven. Lieb-Robinson bounds in classical oscillating lattice systems. Unpublished, Submitted. 2026.

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