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Randomness versus quasi-periodicity

Dynamical Systems 2023-01-18 v1

Abstract

This paper serves as an extended road map for our long-term project "Mixed Random-quasiperiodic Cocycles" [arXiv:2201.04745, arXiv:2109.09544, arXiv:2210.16908, 6, 7] with Pedro Duarte and Silvius Klein. Despite exhibiting totally different natures, the random world and the quasi-periodic one may still have potential relations that we are keen to reveal. This was inspired by Jiangong You's intriguing question on the stability of the Lyapunov exponent of quasi-periodic Schr\"odinger operators under random noise in 2018.

Keywords

Cite

@article{arxiv.2301.06000,
  title  = {Randomness versus quasi-periodicity},
  author = {Ao Cai},
  journal= {arXiv preprint arXiv:2301.06000},
  year   = {2023}
}

Comments

16. arXiv admin note: text overlap with arXiv:2201.04745

R2 v1 2026-06-28T08:11:50.898Z