Inclusion-exclusion and point processes

At the regular meeting of 15 December 2012, Prof. Ruben Ambartzumian from the Institute of Mathematics (National Academy) gave a talk on the theme “Inclusion-exclusion and point processes”.
A combinatorial (inclusion-exclusion) approach to the construction of point processes starting from densities is proposed. A formal sufficient criterion is derived and then applied with positive results to systems of functions having a special product form. Thus, a new class of point processes is derived to play a role within classical Gibbs processes.

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