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- W3025657988 abstract "In this paper, we show how to use the framework of mod-Gaussian convergence in order to study the fluctuations of certain models of random graphs, of random permutations and of random integer partitions. We prove that, in these three frameworks, a generic homogeneous observable of a generic random model is mod-Gaussian under an appropriate renormalisation. This implies a central limit theorem with an extended zone of normality, a moderate deviation principle, an estimate of the speed of convergence, a local limit theorem and a concentration inequality. The universal asymptotic behavior of the observables of these models gives rise to a notion of mod-Gaussian moduli space." @default.
- W3025657988 created "2020-05-21" @default.
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- W3025657988 date "2020-05-16" @default.
- W3025657988 modified "2023-10-16" @default.
- W3025657988 title "Graphons, permutons and the Thoma simplex: three mod‐Gaussian moduli spaces" @default.
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- W3025657988 doi "https://doi.org/10.1112/plms.12344" @default.
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