Proceedings of the 2016 2nd International Conference on Education Technology, Management and Humanities Science

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THE CONTINUITY OF THE LYAPUNOV EXPONENT FOR ANALYTIC QUASI-PERIODIC JACOBI OPERATORS

Authors
Kai Tao
Corresponding Author
Kai Tao
Available Online January 2016.
DOI
10.2991/etmhs-16.2016.145How to use a DOI?
Keywords
Lyapunov Exponent;Jacobi Operators;Weak Liouville
Abstract

In this paper, we use the large deviation theorem and avalanche principle developed by Goldstein and Schlag in [3], to prove that the Lyapunov exponent for analytic quasi-periodic Jacobi operators with weak Liouville frequency is log-Holder continuous.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 2nd International Conference on Education Technology, Management and Humanities Science
Series
Advances in Social Science, Education and Humanities Research
Publication Date
January 2016
ISBN
10.2991/etmhs-16.2016.145
ISSN
2352-5398
DOI
10.2991/etmhs-16.2016.145How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Kai Tao
PY  - 2016/01
DA  - 2016/01
TI  - THE CONTINUITY OF THE LYAPUNOV EXPONENT FOR ANALYTIC QUASI-PERIODIC JACOBI OPERATORS
BT  - Proceedings of the 2016 2nd International Conference on Education Technology, Management and Humanities Science
PB  - Atlantis Press
SP  - 658
EP  - 662
SN  - 2352-5398
UR  - https://doi.org/10.2991/etmhs-16.2016.145
DO  - 10.2991/etmhs-16.2016.145
ID  - Tao2016/01
ER  -