The Hausdorff dimension of systems of linear forms

DOI10.4064/aa-45-4-337-358zbMath0534.10025OpenAlexW824195835WikidataQ105698313 ScholiaQ105698313MaRDI QIDQ3317180

Maurice M. Dodson, John D. Bovey

Publication date: 1986

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205979

zbMATH Keywords

Hausdorff dimensionsystems of linear formsalmost resonant frequenciesinvariant tori in perturbed systemsperiodic Kolmogorov-Arnol'd-Moser theorem

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

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