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SUMMARY:Random Dirichlet series arising from records  - Dr Ryokichi Tanaka
 \, Tohoku University 
DTSTART:20141202T153000Z
DTEND:20141202T163000Z
UID:TALK54683@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:We study the distributions of the random Dirichlet series with
  parameters (s\, b) defined by\nS=¥sum_{n=1}^{¥infty}¥frac{I_n}{n^s}\,\
 nwhere (I_n) is an independent sequence of Bernoulli random variables taki
 ng value 1 with probability 1/n^b and 0 otherwise.\nThe random series of t
 his type is motivated by the record indicator sequence(and also by random 
 walks on groups).\nBy estimates of exponential sums by van der Corput\,\nw
 e specify the parameter region where the distributions have densities.\nJo
 int work with Yuval Peres (Microsoft Research) and Ron Peled (Tel Aviv). 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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