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UID:www.tcs.tifr.res.in/event/608
DTSTAMP:20230914T125931Z
SUMMARY:Stochastic Averaging for Randomly Perturbed Hamiltonian Systems
DESCRIPTION:Speaker: Chetan Pahlajani (Indian Institute of Technology\, Gan
 dhinagar\nDepartment of Mathematics\nVGEC Complex\nChandkheda\nAhmedabad 3
 82424)\n\nAbstract: \nAbstract: The technique of averaging (deterministic 
 or stochastic) is used to effect model reduction in systems which possess 
 dynamics on multiple time scales. Roughly speaking\, the idea is to obtain
  reduced models for slowly varying quantities by taking long-term averages
  in rapidly varying quantities. In this talk\, we overview some problems i
 n stochastic averaging for a class of planar Hamiltonian systems subjected
  to small white noise perturbations. Under a suitable time-rescaling\, the
  dynamics can be seen to comprise a fast rotation along orbits of the Hami
 ltonian flow together  with a slow transversal diffusion across orbits. A
 s the ratio of speeds of the slow to fast variables goes to zero\, the lim
 iting motion is given by a graph-valued Markov process governed by linear 
 second-order differential operators on the legs of the graph together with
  so-called glueing conditions at each vertex. We present some recent resul
 ts for the case of a planar Hamiltonian system with skew random perturbati
 ons.\n
URL:https://www.tcs.tifr.res.in/web/events/608
DTSTART;TZID=Asia/Kolkata:20150623T160000
DTEND;TZID=Asia/Kolkata:20150623T170000
LOCATION:A-212 (STCS Seminar Room)
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