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This is a short introduction to the theory of Stirling numbers of the second kind S(m, k) from the point of view of analysis. It is written as an historical survey centered on the representation of these numbers by a certain binomial transform formula. We tell the story of their birth in the... more
A general probabilistic argument may be used to prove the existence of the so-called "k-paradoxical" tournaments. We will explore a few arithmetical ways of explicitly constructing examples of such tournaments. The full conference program can be found... more
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