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SUMMARY:Precise Large Deviations for Sums of Dependent Variables
DTSTART:20260505T120000Z
DTEND:20260505T130000Z
DTSTAMP:20260505T203400Z
UID:indico-event-16526@indico.math.cnrs.fr
DESCRIPTION:Speakers: Thomas Lehéricy\n\nLarge deviations theory deals wi
 th the convergence of the logarithm of the probability of a rare event. Pr
 ecise large deviations\, on the other hand\, provides an asymptotic equiva
 lent for the probability of such an event itself\, rather than for its log
 arithm. Results of this kind have been available for sums of i.i.d. random
  variables since the work of Bahadur and Rao (1960). Establishing such bou
 nds becomes significantly more challenging once the i.i.d. assumption is d
 ropped. I will present joint work with Ashkan Nikeghbali\, Pierre-Loïc M
 éliot\, and Mariia Khodiakova on this problem\, with applications to the 
 classical question of counting triangles in the Erdős–Rényi random gra
 ph\, as well as to other combinatorial models.\n\nhttps://indico.math.cnrs
 .fr/event/16526/
URL:https://indico.math.cnrs.fr/event/16526/
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