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Abelovu cenu za rok 2021 získali společně László Lovász a Avi Wigderson za zásadní přínos v teoretické informatice a diskrétní matematice. V tomto článku představíme čtenářům Aviho Wigdersona a jeho práci výběrem tří důležitých výsledků z jeho mnoha publikací.
How low can the joint entropy of
-wise independent (for ) discrete random variables be, subject to given constraints on the individual distributions (say, no value may be taken by a variable with probability greater than , for )? This question has been posed and partially answered in a recent work of Babai [Entropy versus pairwise independence (preliminary version), http://people.cs.uchicago.edu/ laci/papers/13augEntropy.pdf, 2013]. In this paper we improve some of his bounds,...
We shall compute the exact value of rigidity of the triangular matrix with entries 0 and 1.
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