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arXiv · 2510.27495

Lieb-Robinson bounds in classical oscillating lattice systems

Ian Koot·C. J. F. van de Ven
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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.

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BibTeXRIS

Ian Koot, C. J. F. van de Ven. 2025-10-31. Lieb-Robinson bounds in classical oscillating lattice systems. https://arxiv.org/abs/2510.27495

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