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SUMMARY:On the monotonicity of entropy in the discrete entropic central li
 mit theorem - Mr Lampros Gavalakis\, University of Cambridge
DTSTART:20221026T130000Z
DTEND:20221026T140000Z
UID:TALK177974@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:In this talk\, we discuss the entropic central limit theorem (
 CLT) and the entropy power inequality (EPI) for discrete random variables.
  First\, we formulate an analogue of what is known as the entropic central
  limit theorem for lattice random variables. We will mention the key ideas
  behind a proof of the CLT in this setting using entropy.\n\nSecondly\, we
  present some recent progress towards a conjecture of Tao (2010)\, which c
 an be seen as a generalised analogue of the EPI in the discrete setting. I
 n particular\, we show that this conjecture is true for log-concave random
  variables on the integers and discuss the connection between this result 
 and the discrete entropic CLT.
LOCATION:MR5\, CMS Pavilion A
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