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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Bounding time averages - Sergei Chernyshenko (Impe
rial College London)
DTSTART;TZID=Europe/London:20220308T094500
DTEND;TZID=Europe/London:20220308T104500
UID:TALK170672AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/170672
DESCRIPTION:If the sum of two time-dependent functions is less
or equal a constant\, and the infinite-time avera
ge of one of these functions is zero then the infi
nite time average of the other function is bounded
from above by this constant. Under very mild assu
mptions\, the infinite-time average of the Lie der
ivative of any function\, or functional\, of the s
tate of a dynamical system is zero. Hence the Lie
derivative of any such &ldquo\;auxiliary&rdquo\; f
unction(al) can be added to the observable for whi
ch the bound for infinite-time average is sought\,
and then the bound can be optimised over the auxi
liary function(al). In the last few years this sim
ple idea received a fair amount of attention. In t
he talk the recent progress will be reviewed with
a focus on combining the benefits of this approach
and the experience accumulated in studies based o
n the famous background flow method.\n \;\n&nb
sp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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