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PRODID:-//Memento EPFL//
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SUMMARY:Censored Stable Processes
DTSTART:20121115T111500
DTEND:20121115T121500
DTSTAMP:20260406T050619Z
UID:52ecb6bb9cc2b2844d3ed288cd952ed41b8d777e5d8fb37ecdbde4dc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Andreas Kyprianou\nWe look at a general two-sided jumpi
 ng strictly alpha-stable process where alpha is in (0\,2). By censoring it
 s path each time it enters the negative half line we show that the resulti
 ng process is a positive self-similar Markov Process. Using Lamperti's tra
 nsformation we uncover an underlying driving Lévy process and\, moreover\
 , we are able to describe in surprisingly explicit detail the Wiener-Hopf 
 factorization of the latter. Using this Wiener-Hopf factorization together
  with a series of spatial path transformations\, it is now possible to pro
 duce an explicit formula for the law of the original stable processes as i
 t first ``enters'' a finite interval\, thereby generalizing a result of Bl
 umenthal\, Getoor and Ray for symmetric stable processes from 1961.\n\nThi
 s is joint work with Alex Watson (Bath) and JC Pardo (CIMAT)
LOCATION:CM1100
STATUS:CONFIRMED
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