Abstract
In this paper, we investigate the Lyapunov exponents of the generalized dynamically defined Szegő cocycle, corresponding to orthogonal polynomials on the circle with radius \(\lambda \). We give the upper and lower bounds of the top Lyapunov exponent in our setting by realification.
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Notes
That means \(\int _{\mathbb {T}}\log \Vert A^z(x)\Vert dx<\infty \).
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Funding
L.F. was supported by National Nature Science Foundation of China (NSFC 12301235), Natural Science Foundation of Shandong Province (ZR2022QA011). F.W. was supported by National Nature Science Foundation of China (NSFC 12001551), Guangdong Basic and Applied Basic Research Foundation (2019A1515110875, 2021A1515010351).
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Fang, L., Wang, F. Lyapunov Exponents for Generalized Szegő Cocycles. Results Math 79, 145 (2024). https://doi.org/10.1007/s00025-024-02168-6
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DOI: https://doi.org/10.1007/s00025-024-02168-6