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SUMMARY:Lingrui Ge (UCI)
DTSTART:20210128T180000Z
DTEND:20210128T190000Z
DTSTAMP:20260423T053048Z
UID:Thouless/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Thouless/4/"
 >Smooth quasiperiodic SL(2\,\\R)-cocycles (II)-Sharp transition space for 
 the continuity of the Lyapunov exponent.</a>\nby Lingrui Ge (UCI) as part 
 of UCI Mathematical Physics\n\n\nAbstract\nWe construct points of disconti
 nuity of the Lyapunov exponent of quasiperiodic Shr\\"odinger cocycles in 
 Gevrey space $G^{s}$ with $s>2$. In contrast\, the Lyapunov exponent has b
 een proved to be continuous in $G^{s}$ with $s<2$ by Klein and Cheng-Ge-Yo
 u-Zhou. This shows that $G^2$ is the transition space for the continuity o
 f the Lyapunov exponent.\n
LOCATION:https://researchseminars.org/talk/Thouless/4/
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