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SUMMARY:Lifetime of relativistic diffusions - Ismael Bailleul (Cambridge)
DTSTART:20101123T163000Z
DTEND:20101123T173000Z
UID:TALK26756@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:Relativistic diffusions are models of random motion in spaceti
 me of an object moving with a speed less than the speed of light. These pr
 ocesses are the Lorentzian analogues of Brownian motion in a Riemannian co
 ntext. In so far as they are defined in purely geometric terms\, it is ver
 y likely that part (or all?) of the geometry of the ambient spacetime may 
 be recovered from the probablistic behaviour of these processes. In a Riem
 annian setting\, this probabilistic view on geometry is well-illustrated b
 y Weyl and Pleyel formulas for the heat kernel of Brownian motion where lo
 cal and global informations about the geometry appear.\n\nWe shall investi
 gate in this talk one aspect of this geometry/probability correspondence. 
 Dating back to Penrose and Hawking's results\, it is now well-established 
 that the appearance of singularities in Einstein's theory of gravitation i
 s unavoidable under quite natural assumptions. Although there is no defini
 tive agreement on what should be called a singularity of spacetime\, a lar
 gely used notion of singularity is the existence in spacetime of incomplet
 e geodesics. Is there a link between geodesic and probabilistic incomplete
 ness? This will be the main question will shall adress. \n\n\nhttp://www.s
 tatslab.cam.ac.uk/~ismael/
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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