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SUMMARY:Universal survival probability for a d-dimensional run-and-tumble 
 particle - Satya Majumdar\, LPTMS
DTSTART:20220208T130000Z
DTEND:20220208T140000Z
UID:TALK167636@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:We consider an active run-and-tumble particle (RTP) in arbitra
 ry\ndimension d and compute exactly the probability S(t) that the\nx-compo
 nent of the position of the RTP does not change sign up to time t. For the
  most relevant case of an exponential distribution of times between consec
 utive tumblings\, we show that S(t) is independent of d for any finite tim
 e t\, as a consequence of the celebrated Sparre Andersen theorem for discr
 ete-time random walks in one dimension. Moreover\, we show that this unive
 rsal result holds for a much wider class of RTP models in which the veloci
 ty v of the particle after each tumbling is drawn randomly from an arbitra
 ry probability distribution.\n
LOCATION:Center for Mathematical Sciences\, Lecture room MR11\, or https:/
 /maths-cam-ac-uk.zoom.us/j/98016675669
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