Moduli of continuity for the Lyapunov exponents of random $\mathrm {GL}(2)$-cocycles
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- by El Hadji Yaya Tall and Marcelo Viana PDF
- Trans. Amer. Math. Soc. 373 (2020), 1343-1383 Request permission
Abstract:
The Lyapunov exponents of i.i.d. random $\mathrm {GL}(2)$-cocycles are Hölder continuous functions of the underlying probability distribution at each point with a simple Lyapunov spectrum. Moreover, they are log-Hölder continuous at every point.References
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Additional Information
- El Hadji Yaya Tall
- Affiliation: IMPA, Est. Dona Castorina 110, Jardim Botânico, 22460-320 Rio de Janeiro, Brazil
- Email: elhadji@impa.br
- Marcelo Viana
- Affiliation: IMPA, Est. Dona Castorina 110, Jardim Botânico, 22460-320 Rio de Janeiro, Brazil
- MR Author ID: 178260
- ORCID: 0000-0001-8344-7251
- Email: viana@impa.br
- Received by editor(s): June 22, 2018
- Received by editor(s) in revised form: August 3, 2019
- Published electronically: October 24, 2019
- Additional Notes: This work was partially supported by Fondation Louis D.—Institut de France (project coordinated by the second author), CNPq, and FAPERJ
- © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 373 (2020), 1343-1383
- MSC (2010): Primary 34D08; Secondary 37H15
- DOI: https://doi.org/10.1090/tran/7973
- MathSciNet review: 4068266