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Two Limit Theorems on the Intersections of Random Zipf Sets. / Lifshits, M.A.; Lialinov, I.M.

в: Journal of Mathematical Sciences, Том 286, № 5, 2024, стр. 738-743.

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Harvard

Lifshits, MA & Lialinov, IM 2024, 'Two Limit Theorems on the Intersections of Random Zipf Sets', Journal of Mathematical Sciences, Том. 286, № 5, стр. 738-743. https://doi.org/10.1007/s10958-024-07537-8

APA

Lifshits, M. A., & Lialinov, I. M. (2024). Two Limit Theorems on the Intersections of Random Zipf Sets. Journal of Mathematical Sciences, 286(5), 738-743. https://doi.org/10.1007/s10958-024-07537-8

Vancouver

Lifshits MA, Lialinov IM. Two Limit Theorems on the Intersections of Random Zipf Sets. Journal of Mathematical Sciences. 2024;286(5):738-743. https://doi.org/10.1007/s10958-024-07537-8

Author

Lifshits, M.A. ; Lialinov, I.M. / Two Limit Theorems on the Intersections of Random Zipf Sets. в: Journal of Mathematical Sciences. 2024 ; Том 286, № 5. стр. 738-743.

BibTeX

@article{44d2fdca5a7b4ab881bb9c8de45117c5,
title = "Two Limit Theorems on the Intersections of Random Zipf Sets",
abstract = "In this paper, 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. {\textcopyright} 2025 Elsevier B.V., All rights reserved.",
author = "M.A. Lifshits and I.M. Lialinov",
note = "Export Date: 01 November 2025; Cited By: 0; Correspondence Address: M.A. Lifshits; St.Petersburg State University, St. Petersburg, Russian Federation; email: mikhail@lifshits.org",
year = "2024",
doi = "10.1007/s10958-024-07537-8",
language = "Английский",
volume = "286",
pages = "738--743",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Two Limit Theorems on the Intersections of Random Zipf Sets

AU - Lifshits, M.A.

AU - Lialinov, I.M.

N1 - Export Date: 01 November 2025; Cited By: 0; Correspondence Address: M.A. Lifshits; St.Petersburg State University, St. Petersburg, Russian Federation; email: mikhail@lifshits.org

PY - 2024

Y1 - 2024

N2 - In this paper, 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. © 2025 Elsevier B.V., All rights reserved.

AB - In this paper, 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. © 2025 Elsevier B.V., All rights reserved.

U2 - 10.1007/s10958-024-07537-8

DO - 10.1007/s10958-024-07537-8

M3 - статья

VL - 286

SP - 738

EP - 743

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 143369913