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Analiticity of the Lyapunov exponents of random products of quasi-periodic cocycles
(2021-11-01)
We show that the top Lyapunov exponent LE(p) associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever LE(p) is simple. Moreover if the spectrum at ...
Lyapunov exponents of probability distributions with non-compact support
(2020)
A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...
The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
(2018)
We prove that the set of fiber-bunched SL(2, R)-valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partially hyperbolic diffeomorphism is open. Moreover, we ...
Lyapunov exponents and poles in a non Hermitian dynamics
(Pergamon-Elsevier Science Ltd, 2017-06)
By means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the poles of the scattering matrix and the Lyapunov exponents in a non Hermitian quantum dynamics, is presented. ...