Matches in SemOpenAlex for { <https://semopenalex.org/work/W2019070040> ?p ?o ?g. }
- W2019070040 abstract "Consider a critical random multigraph $mathcal{G}_n$ with $n$ vertices constructed by the configuration model such that its vertex degrees are independent random variables with the same distribution $nu$ (criticality means that the second moment of $nu$ is finite and equals twice its first moment). We specify the scaling limits of the ordered sequence of component sizes of $mathcal{G}_n$ as $n$ tends to infinity in different cases. When $nu$ has finite third moment, the components sizes rescaled by $n^{-2/3}$ converge to the excursion lengths of a Brownian motion with parabolic drift above past minima, whereas when $nu$ is a power law distribution with exponent $gammain(3,4)$, the components sizes rescaled by $n^{-(gamma -2)/(gamma-1)}$ converge to the excursion lengths of a certain nontrivial drifted process with independent increments above past minima. We deduce the asymptotic behavior of the component sizes of a critical random simple graph when $nu$ has finite third moment." @default.
- W2019070040 created "2016-06-24" @default.
- W2019070040 creator A5073469291 @default.
- W2019070040 date "2014-12-01" @default.
- W2019070040 modified "2023-10-16" @default.
- W2019070040 title "The component sizes of a critical random graph with given degree sequence" @default.
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- W2019070040 doi "https://doi.org/10.1214/13-aap985" @default.
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