On non-measurable sets and invariant tori

DOI10.1016/S0960-0779(01)00115-1zbMath1001.37043arXivphysics/0103058MaRDI QIDQ1610053

Krzysztof W. Wojciechowski, Piotr Pierański

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0103058

zbMATH Keywords

non-measurable setrational or irrational invariant tori

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Other connections with logic and set theory (28E15)

Cites Work

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• ``Linear chaos via paradoxical set decompositions.
• Links between physics and set theory.
• Amplitude phase-space model for quantum mechanics
• Banach-Tarski theorem and Cantorian micro space-time
• Regular and stochastic motion
• The Banach-Tarski Paradox
• The axiom of choice

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