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SUMMARY:On asymptotic exchangeability and graph evolution - Sonia Petrone 
 (Bocconi University)
DTSTART:20160727T140000Z
DTEND:20160727T143000Z
UID:TALK66862@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-author: Sandra Fortini (Bocconi University\,  Milano)
 <br></span> <span><br>Reinforced processes are of interest in probability 
 and in many related  fields\, and as preferential attachment schemes in gr
 aph modeling. In this talk\,  I will discuss some classes of reinforced pr
 ocesses with a random reinforcement.  Randomly reinforced processes allow 
 to extend the spectrum of application\, to  incorporate non stationary evo
 lution\, competition\, selection and other forms of  asymmetry. I will pre
 sent some underlying theory and limit properties\, including  asymptotic e
 xchangeability\, and potential applications as weighted preferential  atta
 chment schemes in graph modeling. An interesting aspect is that\, dependin
 g  on the random weights&#39\; structure\, a sub-region of the sample spac
 e may tend to  dominate\, possibly explaining sparsity phenomena in exchan
 geable graphs.</span>
LOCATION:Seminar Room 1\, Newton Institute
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