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TZID:Europe/Vienna
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DTSTART:20170326T030000
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DTSTART:20171029T020000
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BEGIN:VEVENT
DTSTAMP:20260427T100744Z
UID:5853d1297bddb595237588@ist.ac.at
DTSTART:20170808T160000
DTEND:20170808T180000
DESCRIPTION:Speaker: Janos Englaender\nhosted by Laszlo Erdös\nAbstract: G
 iven a sequence of numbers p_n in [0\,1]\, consider the following experime
 nt. First\, we flip a fair coin and then\, at step n\, we turn the coin ov
 er to the other side with probability p_n\, n> 1\, independently of the se
 quence of the previous terms. What can we say about the distribution of th
 e empirical frequency of heads as n tends to infinity?\n\nWe show that a n
 umber of phase transitions take place as the turning gets slower (i.e. p_n
  is getting smaller)\, leading first to the breakdown of the Central Limit
  Theorem and then to that of the Law of Large Numbers. It turns out that t
 he critical regime is p_n=(const)/n. Among the scaling limits\, we obtain 
 Uniform\, Gaussian\, Semicircle and Arcsine laws.\n\nThis is joint work wi
 th Stas Volkov (Lund).\n
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Janos Englaender: Turning a coin over instead of tossing it
URL:https://talks-calendar.ista.ac.at/events/686
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