BEGIN:VCALENDAR
VERSION:2.0
PRODID:www.imperial.ac.uk
BEGIN:VEVENT
UID:63def43dda850
DTSTART:20221129T150000Z
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20221129T160000Z
URL:https://www.imperial.ac.uk/events/156061/prof-alexander-sodin-queen-mar
y-university-of-london-sets-of-non-lyapunov-behaviour-for-schroedinger-coc
ycles/
LOCATION:140\, Huxley Building\, South Kensington Campus\, Imperial College
London\, London\, SW7 2AZ\, United Kingdom
SUMMARY:Prof Alexander Sodin (Queen Mary University of London): Sets of non
-Lyapunov behaviour for Schroedinger cocycles
CLASS:PUBLIC
DESCRIPTION:This seminar will be presented in hybrid mode. The speaker wi
ll deliver his talk remotely.\nTitle: Sets of non-Lyapunov behaviour for S
chroedinger cocycles\nAbstract: We shall discuss the growth of transfer ma
trices of random Schroedinger operators in one dimension. While for a fixe
d value of the spectral parameter the rate of exponential growth is given
by the Lyapunov exponent\, this is almost surely not simultaneously true f
or all the values of the parameter. We shall survey the earlier results pe
rtaining to the topological size of the exceptional set\, and present some
new ones pertaining to the metric size. We shall also discuss the tight c
onnection between the subject and the theory of Anderson localisation. Bas
ed on joint work with Ilya Goldsheid.\nThe talk will be followed by refres
hments in the Huxley Common Room at 4pm.
X-ALT-DESC;FMTTYPE=text/html:This seminar will be presented in hyb
rid mode. The speaker will deliver his talk remotely.

\n#### Ti
tle: Sets of non-Lyapunov behaviour for Schroedinger cocycles

\nAbstract: *We shall discuss the growth of transfer matrices of random S
chroedinger operators in one dimension. While for a fixed value of the spe
ctral parameter the rate of exponential growth is given by the Lyapunov ex
ponent\, this is almost surely not simultaneously true for all the values
of the parameter. We shall survey the earlier results pertaining to the to
pological size of the exceptional set\, and present some new ones pertaini
ng to the metric size. We shall also discuss the tight connection between
the subject and the theory of Anderson localisation. Based on joint work w
ith Ilya Goldsheid.*

\nThe talk will be followed by refresh
ments in the Huxley Common Room at 4pm.

DTSTAMP:20230205T001141Z
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