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

Departamento de Matemática e Estatística
Universidade Federal do Estado do Rio de Janeiro
University Paris 13

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

3 Citations (Scopus)

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

Access to Document

10.4171/PM/1982

Cite this

@article{4d7c4589266e4720bbadca46c9b5ca1d,

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",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2016",

month = jan,

day = "1",

doi = "10.4171/PM/1982",

language = "English",

volume = "73",

pages = "171--176",

journal = "Portugaliae Mathematica",

issn = "0032-5155",

publisher = "European Mathematical Society Publishing House",

number = "3",

}

TY - JOUR

T1 - Typical symplectic locally constant cocycles over certain shifts of countable type have simple Lyapunov spectra

AU - Cambrainha, Michel

AU - Matheus, Carlos

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2016/1/1

Y1 - 2016/1/1

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

U2 - 10.4171/PM/1982

DO - 10.4171/PM/1982

M3 - Article

AN - SCOPUS:85001638634

SN - 0032-5155

VL - 73

SP - 171

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this