Fibered rotation vector and hypoellipticity for quasi‐periodic cocycles in compact Lie groups

DOI10.1112/blms.12321zbMath1448.35108arXiv1903.01914OpenAlexW2919743584WikidataQ115258173 ScholiaQ115258173MaRDI QIDQ5110615

Nikolaos Karaliolios

Publication date: 21 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01914

zbMATH Keywords

Diophantine rotationGreenfield-Wallach conjectureweak solutions to the conjugation equation

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (1)

Anosov-Katok constructions for quasi-periodic \(\operatorname{SL}(2, \mathbb{R})\) cocycles

Cites Work

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• Globally hypoelliptic vector fields
• The rotation number for almost periodic potentials
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• Differentiable rigidity for quasiperiodic cocycles in compact Lie groups
• Local rigidity of Diophantine translations in higher-dimensional tori
• Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\)
• Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
• Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups
• Rotation sets and ergodic measures for torus homeomorphisms
• Ergodic skew-systems on \mathbb{T}^d \times SO(3,\mathbb{R}}
• TOWARDS A CLASSIFICATION FOR QUASIPERIODICALLY FORCED CIRCLE HOMEOMORPHISMS

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