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

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	171-176
Number of pages	6
Journal	Portugaliae Mathematica
Volume	73
Issue number	3
DOIs	https://doi.org/10.4171/PM/1982
Publication status	Published - 1 Jan 2016
Externally published	Yes

Keywords

Linear cocycles
Lyapunov exponents
Shift maps

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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.",

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author = "Michel Cambrainha and Carlos Matheus",

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doi = "10.4171/PM/1982",

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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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JO - Portugaliae Mathematica

JF - Portugaliae Mathematica

IS - 3

ER -

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

Abstract

Keywords

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