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arXiv · 2605.15928

Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori

Dmitry Dolgopyat·Bassam Fayad·Jaime Paradela
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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.

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Dmitry Dolgopyat, Bassam Fayad, Jaime Paradela. 2026-05-15. Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori. https://arxiv.org/abs/2605.15928

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