Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra

Michel Cambrainha; Carlos Matheus

doi:10.4171/PM/1982

Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra

Michel Cambrainha
, Carlos Matheus

Universidade Federal do Estado do Rio de Janeiro
University Paris 13

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We show that the Lyapunov spectrum of almost every symplectic locally constant integrable cocycle over certain shifts of countable type is simple.

langue originale	Anglais
Pages (de - à)	171-176
Nombre de pages	6
journal	Portugaliae Mathematica
Volume	73
Numéro de publication	3
Les DOIs	https://doi.org/10.4171/PM/1982
état	Publié - 1 janv. 2016
Modification externe	Oui

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10.4171/PM/1982

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title = "Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra",

abstract = "We show that the Lyapunov spectrum of almost every symplectic locally constant integrable cocycle over certain shifts of countable type is simple.",

keywords = "Linear cocycles, Lyapunov exponents, Shift maps",

author = "Michel Cambrainha and Carlos Matheus",

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year = "2016",

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journal = "Portugaliae Mathematica",

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AU - Matheus, Carlos

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N2 - We show that the Lyapunov spectrum of almost every symplectic locally constant integrable cocycle over certain shifts of countable type is simple.

AB - We show that the Lyapunov spectrum of almost every symplectic locally constant integrable cocycle over certain shifts of countable type is simple.

KW - Linear cocycles

KW - Lyapunov exponents

KW - Shift maps

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DO - 10.4171/PM/1982

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SN - 0032-5155

VL - 73

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EP - 176

JO - Portugaliae Mathematica

JF - Portugaliae Mathematica

IS - 3

ER -

Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra

Résumé

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