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SUMMARY:A martingale approach for the elephant random walk with stops and 
 the Ewens-Pitman process - Bernard Bercu (University of Bordeaux)
DTSTART:20240717T140000Z
DTEND:20240717T150000Z
UID:TALK218692@talks.cam.ac.uk
DESCRIPTION:This talk is devoted to the connections between the elephant r
 andom walk with stops (ERWS) and the Ewens-Pitman process (EPP). We will s
 ee that the number of ones of the ERWS\, properly normalized\, converges a
 lmost surely to a Mittag-Leffler distribution.&nbsp\; This result is also 
 well-known for the number of blocks in the EPP. Thanks to a martingale app
 roach\, we shall carry out a sharp analysis of the asymptotic behavior of 
 the ERWS and the EPP. This is a joint work with Stefano Favaro.
LOCATION:Seminar Room 2\, Newton Institute
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