On moments of multiplicative coalescents
Konarovskyi V, Limic V (2024)
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 60(3): 2025-2045.
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Autor*in
Konarovskyi, VitaliiUniBi;
Limic, Vlada
Einrichtung
Abstract / Bemerkung
We prove existence of all moments of the multiplicative coalescent at all times. We obtain as byproducts a number of related results which could be of general interest. In particular, we show the finiteness of the second moment of the l 2 norm for any extremal eternal version of multiplicative coalescent. Our techniques are in part inspired by percolation, and in part are based on tools from stochastic analysis, notably the semi-martingale and the excursion theory.
Stichworte
Multiplicative coalescent;
Random graph;
Excursion;
L & eacute;
vy;
process;
Moment estimates
Erscheinungsjahr
2024
Zeitschriftentitel
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
Band
60
Ausgabe
3
Seite(n)
2025-2045
ISSN
0246-0203
Page URI
https://pub.uni-bielefeld.de/record/2992233
Zitieren
Konarovskyi V, Limic V. On moments of multiplicative coalescents. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2024;60(3):2025-2045.
Konarovskyi, V., & Limic, V. (2024). On moments of multiplicative coalescents. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 60(3), 2025-2045. https://doi.org/10.1214/23-AIHP1391
Konarovskyi, Vitalii, and Limic, Vlada. 2024. “On moments of multiplicative coalescents”. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 60 (3): 2025-2045.
Konarovskyi, V., and Limic, V. (2024). On moments of multiplicative coalescents. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 60, 2025-2045.
Konarovskyi, V., & Limic, V., 2024. On moments of multiplicative coalescents. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 60(3), p 2025-2045.
V. Konarovskyi and V. Limic, “On moments of multiplicative coalescents”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, vol. 60, 2024, pp. 2025-2045.
Konarovskyi, V., Limic, V.: On moments of multiplicative coalescents. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 60, 2025-2045 (2024).
Konarovskyi, Vitalii, and Limic, Vlada. “On moments of multiplicative coalescents”. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 60.3 (2024): 2025-2045.
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Preprint: 10.48550/arXiv.2108.11799
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