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UID:b922c4fdee7fbf5a8a52df3956f56bc2
CATEGORIES:Mathematical Physics Seminar
CREATED:20221027T143535
SUMMARY:Universal survival probability for a  d-dimensional run-and-tumble particle
LOCATION:Zoom
DESCRIPTION:We consider an active run-and-tumble particle (RTP) in arbitrary dimension 
 d and compute exactly the probability S(t) that the x-component of the posi
 tion of the RTP does not change sign up to time t. For the most relevant ca
 se of an exponential distribution of times between consecutive tumblings, w
 e show that S(t) is independent of d for any finite time t, as a consequenc
 e of the celebrated Sparre Andersen theorem for discrete-time random walks 
 in one dimension. Moreover, we show that this universal result holds for a 
 much wider class of RTP models in which the velocity v of the particle afte
 r each tumbling is drawn randomly from an arbitrary probability distributio
 n.<br />
CONTACT:Satya Majumdar - Paris-Saclay University
DTSTAMP:20260830T121805
DTSTART;TZID=America/New_York:20221116T104500
DTEND;TZID=America/New_York:20221116T114500
SEQUENCE:0
TRANSP:OPAQUE
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