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SUMMARY:Bounding time averages - Sergei Chernyshenko (Imperial College Lon
 don)
DTSTART:20220308T094500Z
DTEND:20220308T104500Z
UID:TALK170672@talks.cam.ac.uk
DESCRIPTION:If the sum of two time-dependent functions is less or equal a 
 constant\, and the infinite-time average of one of these functions is zero
  then the infinite time average of the other function is bounded from abov
 e by this constant. Under very mild assumptions\, the infinite-time averag
 e of the Lie derivative of any function\, or functional\, of the state of 
 a dynamical system is zero. Hence the Lie derivative of any such &ldquo\;a
 uxiliary&rdquo\; function(al) can be added to the observable for which the
  bound for infinite-time average is sought\, and then the bound can be opt
 imised over the auxiliary function(al). In the last few years this simple 
 idea received a fair amount of attention. In the talk the recent progress 
 will be reviewed with a focus on combining the benefits of this approach a
 nd the experience accumulated in studies based on the famous background fl
 ow method.\n&nbsp\;\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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