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Large Deviation Estimates and Hölder Regularity of the Lyapunov Exponents for Quasi-periodic Schrödinger Cocycles

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Publication:5028214
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DOI10.1093/IMRN/RNZ319OpenAlexW3026946476MaRDI QIDQ5028214

Shiwen Zhang, Rui Han

Publication date: 8 February 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02035



Mathematics Subject Classification ID

Partial differential equations (35-XX) Statistical mechanics, structure of matter (82-XX)


Related Items (5)

Hölder regularity of the integrated density of states for quasi-periodic long-range operators on \(\ell^2(\mathbb{Z}^d)\) ⋮ Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles ⋮ Quantitative inductive estimates for Green's functions of non-self-adjoint matrices ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators ⋮ Strong Birkhoff ergodic theorem for subharmonic functions with irrational shift and its application to analytic quasi-periodic cocycles







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