Global lower mass-bound for critical configuration models in the heavy-tailed regime-Reference-Cited by-同舟云学术

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Global lower mass-bound for critical configuration models in the heavy-tailed regime

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Bhamidi Shankar¹,Dhara Souvik²,van der Hofstad Remco³,Sen Sanchayan⁴

Affiliation:

1. Department of Statistics and Operations Research, University of North Carolina

2. Simons Institute for the Theory of Computing, University of California, Berkeley

3. Department of Mathematics and Computer Science, Eindhoven University of Technology

4. Department of Mathematics, Indian Institute of Science

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference34 articles.

1. Louigi Addario-Berry, Most trees are short and fat, Probab. Theory Relat. Fields 173 (2019), no. 1-2, 1–26.

2. Louigi Addario-Berry, Nicolas Broutin, and Christina Goldschmidt, The continuum limit of critical random graphs, Probab. Theory Relat. Fields 152 (2012), no. 3, 367–406.

3. David Aldous, The continuum random tree II: an overview, Stochastic Analysis: Proc. Durham Symp. Stochastic Analysis, 1990 (M T Barlow and N H Bingham, eds.), London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge, 1991, pp. 23–70.

4. David Aldous, Gregory Miermont, and Jim Pitman, The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity, Probab. Theory Relat. Fields 129 (2004), no. 2, 182–218.

5. Siva Athreya, Wolfgang Löhr, and Anita Winter, The gap between Gromov-vague and Gromov–Hausdorff-vague topology, Stoch. Proc. Appl. 126 (2016), no. 9, 2527–2553.

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1. Convergence of the height process of supercritical Galton–Watson forests with an application to the configuration model in the critical window;Advances in Applied Probability;2024-04-02

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