Differentiability of Lyaupnov Exponents
classification
🧮 math.DS
keywords
differentiabilitygroupcombinationslinearbanach-liebundlebundlescertain
read the original 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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