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SUMMARY:Laszlo Csirmaz (Alfréd Rényi Institute of Mathematics\, Budapest
  and UTIA\, Prague)
DTSTART:20230913T150000Z
DTEND:20230913T161500Z
DTSTAMP:20260423T021441Z
UID:AAIT/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AAIT/20/">Th
 e power of non-Shannon inequalities: a short proof of the Gács-Körner th
 eorem.</a>\nby Laszlo Csirmaz (Alfréd Rényi Institute of Mathematics\, B
 udapest and UTIA\, Prague) as part of Seminar on Algorithmic Aspects of In
 formation Theory\n\n\nAbstract\nWe present a short proof of a celebrated r
 esult of Gács and Körner giving sufficient and necessary condition on th
 e joint distribution of two discrete random variables X and Y for the case
  when their mutual information matches the extractable (in the limit) comm
 on information. Our proof is based on the observation that the mere existe
 nce of certain random variables jointly distributed with X and Y can impos
 e restrictions on all random variables jointly distributed with X and Y.\n
LOCATION:https://researchseminars.org/talk/AAIT/20/
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