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Lyapunov exponents: recent applications of Fürstenberg's theorem in spectral theory

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Publication:2058972
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DOI10.1007/978-3-030-62497-2_45zbMath1494.37031OpenAlexW3130158873MaRDI QIDQ2058972

David Damanik

Publication date: 10 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-62497-2_45


zbMATH Keywords

Lyapunov exponentsAnderson localization


Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generation, random and stochastic difference and differential equations (37H10) Dynamical aspects of statistical mechanics (37A60)





Cites Work

  • Some harmonic analysis questions suggested by Anderson-Bernoulli models. Appendix by T.H.Wolff
  • Anderson localization for Bernoulli and other singular potentials
  • Localization for Anderson models on metric and discrete tree graphs
  • Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent
  • On nonperturbative localization with quasi-periodic potential.
  • Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials.




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