  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.
