Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori
Dynamical Systems
2026-05-18 v1
Abstract
We develop an abstract KAM theorem for systems of infinitely many interacting particles with decaying masses and all-to-all interactions. Using this framework, we construct full-dimensional KAM tori for infinite-dimensional mechanical systems exhibiting long range interactions.
Keywords
Cite
@article{arxiv.2605.15928,
title = {Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori},
author = {Dmitry Dolgopyat and Bassam Fayad and Jaime Paradela},
journal= {arXiv preprint arXiv:2605.15928},
year = {2026}
}