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20232026
most citedShort cycles of random permutations with cycle weights: point processes approach

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math.PR2026

Pareto points in growing dimensions

Andrii Ilienko, Bochen Jin

We consider independent random points uniformly distributed in the -dimensional unit cube and study Pareto points, that is, points that do not coordinatewise dominate any…

math.PR2026

Explosion and non-explosion in pure birth Crump--Mode--Jagers branching processes

Oleksii Galganov, Andrii Ilienko

In this short note, we provide an explicit sufficient condition for non-explosion of Crump--Mode--Jagers branching processes with pure birth reproduction. It shows that the standar…