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On \(\mathrm{SL}(2,\mathbb R)\) valued cocycles of Hölder class with zero exponent over Kronecker flows

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Publication:652009
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DOI10.3934/cpaa.2011.10.873zbMath1246.37034OpenAlexW2329208970MaRDI QIDQ652009

Russell A. Johnson, Mahesh G. Nerurkar

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.873


zbMATH Keywords

Lyapunov exponentscocyclesirrational rotationsLiouville numbers


Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60) Rotation numbers and vectors (37E45)


Related Items (3)

An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators ⋮ Schrödinger operators with dynamically defined potentials ⋮ On \({SL(2, \mathbb R)}\) valued smooth proximal cocycles and cocycles with positive Lyapunov exponents over irrational rotation flows







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