## Speaker:

Lingrui Ge

## Institution:

UCI

## Time:

Thursday, January 28, 2021 - 10:00am to 11:00am

## Location:

https://uci.zoom.us/j/95453091338?pwd=L1hXRTRremw4YjFQY3I3NHZGNUdKZz09

We construct discontinuous points of the Lyapunov exponent of quasiperiodic Shr\"odinger cocycles in Gevrey space $G^{s}$ with $s>2$. In contrast, the Lyapunov exponent has been proved to be continuous in $G^{s}$ with $s<2$ by Klein and Cheng-Ge-You-Zhou. This shows that $G^2$ is the transition space for the continuity of the Lyapunov exponent.