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Hölder Continuity of Lyapunov Exponent for a Family of Smooth Schrödinger Cocycles.

Authors :
Liang, Jinhao
Wang, Yiqian
You, Jiangong
Source :
Annales Henri Poincaré. Feb2024, Vol. 25 Issue 2, p1399-1444. 46p.
Publication Year :
2024

Abstract

We prove the Hölder continuity of the Lyapunov exponent for quasi-periodic Schrödinger cocycles under the assumptions that the potential is of large C 2 cosine type and the frequency is not super-Liouvillean. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LYAPUNOV exponents
*COCYCLES

Details

Language :
English
ISSN :
14240637
Volume :
25
Issue :
2
Database :
Academic Search Index
Journal :
Annales Henri Poincaré
Publication Type :
Academic Journal
Accession number :
175358897
Full Text :
https://doi.org/10.1007/s00023-023-01362-6