The stable graph: the metric space scaling limit of a critical random graph with i.i.d. power-law degrees

We prove a metric space scaling limit for a critical random graph with independent and identically distributed degrees having power-law tail be- haviour with exponent α + 1, where α ∈ (1,2). The limiting components are constructed from random R-trees encoded by the excursions above its run- ning inf...

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Bibliographic Details
Main Authors: Conchon-Kerjan, G, Goldschmidt, C
Format: Journal article
Language:English
Published: Institute of Mathematical Statistics 2023