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math.PR2026
Random valuations
Andrii Ilienko, Ilya Molchanov, Tommaso Visonà
A valuation is a finitely additive function on the family of compact convex sets in . We study non-negative infinitely divisible random valuations, with particular em…
math.PR2026
Set-indexed and multiple sums in high dimensions
Bochen Jin, Alexander Marynych, Ilya Molchanov
We consider multiple and set-indexed sums of random vectors taking values in Euclidean space of growing dimension. It is shown that, when viewed as finite metric spaces, the sets o…