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UID:www.tcs.tifr.res.in/event/617
DTSTAMP:20230914T125931Z
SUMMARY:Stable Point Processes\, Branching Random Walks and a Prediction of
  Brunet and Derrida
DESCRIPTION:Speaker: Parthanil Roy (Indian Statistical Institute\nStatistic
 s and Mathematics Unit\n203\, Barrackpore Trunk Road\nKolkata 700108)\n\nA
 bstract: \nAbstract: Stable point processes were introduced and characte
 rized by Davydov\, Molchanov and Zuyev (2008). They showed that such a p
 oint process can always be represented as a scale mixture of iid copies of
  one point process with the scaling points coming from an independent Pois
 son random measure. We obtain such a point process as the weak limit of 
 a sequence of point processes induced by a branching random walk with join
 tly regularly varying displacements. In particular\, we show that a predi
 ction of two statistical physicists\, Brunet and Derrida (2011)\, remain
 s valid in this setup\, and recover a slightly improved version of a resul
 t of Durrett (1983) (this talk is based on a joint work with Ayan Bhattach
 arya and Rajat Subhra Hazra).\n
URL:https://www.tcs.tifr.res.in/web/events/617
DTSTART;TZID=Asia/Kolkata:20150814T160000
DTEND;TZID=Asia/Kolkata:20150814T170000
LOCATION:AG-69
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