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math.CO2018
Projection inequalities for antichains
Konrad Engel, Themis Mitsis, Christos Pelekis +1
A set is called an antichain (resp. antichain) if it does not contain two distinct elements and ${\mathbf y}=(y_1,\ldot…
math.PR2018
On the Shannon entropy of the number of vertices with zero in-degree in randomly oriented hypergraphs
Christos Pelekis
Suppose that you have colours and mutually independent dice, each of which has sides. Each dice lands on any of its sides with equal probability. You may colour the sid…
math.CA2018
The de Bruijn-Erdős theorem from a Hausdorff measure point of view
Martin Doležal, Themis Mitsis, Christos Pelekis
Motivated by a well-known result in extremal set theory, due to Nicolaas Govert de Bruijn and Paul Erdős, we consider curves in the unit -cube of the form \[ A=\{(x,f_…