Randomness versus quasi-periodicity

Abstract

This paper serves as an extended road map for our long-term project "Mixed Random-quasiperiodic Cocycles" [3, 4, 5, 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 Schrödinger operators under random noise in 2018. Contents