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UID:0-906@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20231003T110000
DTEND;TZID=Europe/Paris:20231003T120000
DTSTAMP:20230926T173507Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-denis-boyer-universidad-mexico/
SUMMARY:Séminaire du LPTMS : Denis Boyer (Universidad de México) - Salle 
 des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530 - 3 Oct 23 1
 1:00
DESCRIPTION:Optimising the random search of a target with finite lifetime 
 Denis Boyer (Universidad de México) Random searches find applications in
  a broad range of problems in biology\, chemistry or everyday life.  In a
  typical set-up\, a searcher follows a random motion and reacts with a fix
 ed target site upon first encounter. In many situations\, however\, the ta
 rget has a finite lifetime after which it becomes inactive\, lost or no lo
 nger available for reaction.  To be successful\, the searcher must theref
 ore find the target site before the latter becomes inactive. We present ex
 act results on a minimal model\, namely\, a one-dimensional searcher perfo
 rming a discrete time random walk or Lévy flight\, while the target has a
 n exponentially distributed lifetime. In contrast with the case of a perma
 nent target\, it is possible to optimise the capture probability and the c
 onditional mean first passage time at the target. The optimal Lévy index 
 takes a non-trivial value\, even by taking the infinite lifetime limit\, a
 nd exhibits a "phase transition" as the initial distance to the target sit
 e is varied. This transition can be discontinuous or continuous depending 
 on the target lifetime. We outline connections between this problem and se
 arch processes based on resetting.
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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