In this paper, we study the size of the level sets of all Lyapunov exponents. For typical cocycles, we establish a variational relation between the topological entropy of the level sets of Lyapunov exponents and the topological pressure of the generalized singular value function.
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Univ Lisbon, Fac Ciencias, Dept Matemat, Lisbon, Portugal
Univ Lisbon, Fac Ciencias, CMAFCIO, Lisbon, PortugalUniv Lisbon, Fac Ciencias, Dept Matemat, Lisbon, Portugal
Duarte, Pedro
Klein, Silvius
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Pontificia Univ Catolica Rio de Janeiro PUC Rio, Dept Matemat, Rio De Janeiro, RJ, BrazilUniv Lisbon, Fac Ciencias, Dept Matemat, Lisbon, Portugal
机构:
Nicolaus Copernicus Univ, Fac Math & Comp Sci, Ul Chopina 12-18, PL-87100 Torun, PolandUniv Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica
Bezerra, Jamerson
Sanchez, Adriana
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Univ Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa RicaUniv Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica
Sanchez, Adriana
Tall, El Hadji Yaya
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Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, BrazilUniv Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica
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FAMAT UFU, Fac Matemat, Av Joao Naves Avila 2121, BR-38408100 Uberlandia, MG, BrazilFAMAT UFU, Fac Matemat, Av Joao Naves Avila 2121, BR-38408100 Uberlandia, MG, Brazil