Geodesic
Two limit theorems on the intersections of random Zipf sets
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 165-171

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In this work we study the asymptotic behaviour of the rarest element in the intersections of a random Zipf set with a large number of independent random sets of the same type but, eventually, with different parameters. The same problem is solved for the maximum of the integral measure of intersection associated with exponentially growing weights. 
@article{ZNSL_2022_510_a8,
     author = {M. A. Lifshits and I. M. Lyalinov},
     title = {Two limit theorems on the intersections of random {Zipf} sets},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {510},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a8/}
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M. A. Lifshits; I. M. Lyalinov. Two limit theorems on the intersections of random Zipf sets. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 165-171. http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a8/