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arXiv · 1405.1262

Differentiability of Lyaupnov Exponents

Thiago F. Ferraiol·Luiz A. B. San Martin
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Abstract

We prove differentiability of certain linear combinations of the Lyapunov spectra of a flow on a principal bundle of a semi-simple Lie group. The specific linear combinations that yield differentiability are determined by the finest Morse decomposition on the flag bundles. Differentiability is taken with respect to a differentiable structure on the gauge group, which is a Banach-Lie group.

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Thiago F. Ferraiol, Luiz A. B. San Martin. 2014-05-06. Differentiability of Lyaupnov Exponents. https://arxiv.org/abs/1405.1262

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