Fluctuations of the giant of Poisson random graphs
| Autor: | Clancy Jr, David |
|---|---|
| Rok vydání: | 2025 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Enriquez, Faraud, and Lemaire (2023) have established process-level fluctuations for the giant of the dynamic Erd\H{o}s-R\'{e}nyi random graph above criticality and show that the limit is a centered Gaussian process with continuous sample paths. A random walk proof was recently obtained by Corujo, Limic and Lemaire (2024). We show that a similar result holds for rank-one inhomogeneous models whenever the empirical weight distribution converges to a limit and its second moment converges as well. Comment: 13 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|