Randomness versus quasi-periodicity

Ao Cai

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arXiv · 2301.06000

Randomness versus quasi-periodicity

Ao Cai

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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.

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Ao Cai. 2023-01-15. Randomness versus quasi-periodicity. https://arxiv.org/abs/2301.06000

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