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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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.
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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