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SUMMARY:A pathwise approach to relativistic diffusions - Ismael Bailleul (
 Statslab)
DTSTART:20090216T160000Z
DTEND:20090216T170000Z
UID:TALK17039@talks.cam.ac.uk
CONTACT:Prof. Mihalis Dafermos
DESCRIPTION:A new class of relativistic diffusions encompassing all the\np
 reviously studied examples has recently been introduced by C. Chevalier an
 d F. Debbasch\, both in a heuristic and analytic way. Roughly speaking\, t
 hey are characterised by the existence at each (proper) time (of the movin
 g particle) of a (local) rest frame where the random part of the accelerat
 ion of the particle (computed using the time of the rest frame) is Brownia
 n in any spacelike direction of the frame.\n\nI will explain how the tools
  of stochastic calculus enable us to give a concise and elegant descriptio
 n of these random paths on any Lorentzian manifold. A mathematically clear
  definition of the one-particle distribution function of the dynamics will
  emerge from this definition\, and whose main property will be explained. 
 This will enable me to obtain a general H-theorem and to shed some light o
 n links between probabilistic notions and the large scale structure of the
  manifold.\n\nAll necessary tools from stochastic calculus will be explain
 ed.\n
LOCATION:CMS\, MR4
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