Stochastic block model in a new critical regime and the interacting multiplicative coalescent

Konarovskyi V, Limic V (2021)
Electronic Journal of Probability 26: 30.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Einrichtung
Abstract / Bemerkung
This work exhibits a novel phase transition for the classical stochastic block model (SBM). In addition we study the SBM in the corresponding near-critical regime, and find the scaling limit for the component sizes. The two-parameter stochastic process arising in the scaling limit, an analogue of the standard Aldous' multiplicative coalescent, is interesting in its own right. We name it the (standard) Interacting Multiplicative Coalescent. To the best of our knowledge, this object has not yet appeared in the literature.
Erscheinungsjahr
2021
Zeitschriftentitel
Electronic Journal of Probability
Band
26
Art.-Nr.
30
ISSN
1083-6489
Page URI
https://pub.uni-bielefeld.de/record/2957872

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Konarovskyi V, Limic V. Stochastic block model in a new critical regime and the interacting multiplicative coalescent. Electronic Journal of Probability. 2021;26: 30.
Konarovskyi, V., & Limic, V. (2021). Stochastic block model in a new critical regime and the interacting multiplicative coalescent. Electronic Journal of Probability, 26, 30. https://doi.org/10.1214/21-EJP584
Konarovskyi, V., and Limic, V. (2021). Stochastic block model in a new critical regime and the interacting multiplicative coalescent. Electronic Journal of Probability 26:30.
Konarovskyi, V., & Limic, V., 2021. Stochastic block model in a new critical regime and the interacting multiplicative coalescent. Electronic Journal of Probability, 26: 30.
V. Konarovskyi and V. Limic, “Stochastic block model in a new critical regime and the interacting multiplicative coalescent”, Electronic Journal of Probability, vol. 26, 2021, : 30.
Konarovskyi, V., Limic, V.: Stochastic block model in a new critical regime and the interacting multiplicative coalescent. Electronic Journal of Probability. 26, : 30 (2021).
Konarovskyi, Vitalii, and Limic, Vlada. “Stochastic block model in a new critical regime and the interacting multiplicative coalescent”. Electronic Journal of Probability 26 (2021): 30.

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