Global lower mass-bound for critical configuration models in the heavy-tailed regime
type: Item
instance of: scholarly article
title: Global lower mass-bound for critical configuration models in the heavy-tailed regime
DOI: 10.1214/22-EJP821
author: Shankar Bhamidi
author: Souvik Dhara
author: Remco van der Hofstad
author: Sanchayan Sen
published in: Electronic Journal of Probability
publication date: 2022-10-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/2005.02566
full work available at URL: 22-EJP821.full
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 05C80
zbMATH DE Number: 7596267
zbMATH Keywords: critical configuration model
zbMATH Keywords: global lower mass-bound
zbMATH Keywords: heavy-tailed degrees
MaRDI profile type: Publication
cites work: Most trees are short and fat
cites work: The continuum limit of critical random graphs
cites work: Q3976721
cites work: The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin's local time identity
cites work: The gap between Gromov-Vague and Gromov-Hausdorff-vague topology
cites work: The asymptotic number of labeled graphs with given degree sequences
cites work: Universality for critical heavy-tailed network models: metric structure of maximal components
cites work: The multiplicative coalescent, inhomogeneous continuum random trees, and new universality classes for critical random graphs
cites work: Q4269108
cites work: A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
cites work: Limits of sparse configuration models and beyond: graphexes and multigraphexes
cites work: Limits of multiplicative inhomogeneous random graphs and Lévy trees: limit theorems
cites work: Limit distributions and random trees derived from the birthday problem with unequal probabilities
cites work: Heavy-tailed configuration models at criticality
cites work: Balls and bins: A study in negative dependence
cites work: On the concentration function of a sum of independent random variables
cites work: Percolation on Sparse Random Graphs with Given Degree Sequence
cites work: On tail probabilities for martingales
cites work: Convergence in distribution of random metric measure spaces (\(\Lambda \)-coalescent measure trees)
cites work: Random graphs and complex networks. Volume 1
cites work: The Probability That a Random Multigraph is Simple
cites work: Susceptibility of random graphs with given vertex degrees
cites work: A new approach to the giant component problem
cites work: Q4519896
cites work: Q4847337
cites work: On breadth‐first constructions of scaling limits of random graphs and random unicellular maps
cites work: A critical point for random graphs with a given degree sequence
cites work: Critical random graphs: Diameter and mixing time
cites work: Q3037463
cites work: Height and diameter of Brownian tree
cites work: Stochastic-Process Limits
Recommended article: Heavy-tailed configuration models at criticality
Recommended article: Bound on the mass gap for a stochastic contour model at low temperature
Recommended article: Bound on the mass gap for finite volume stochastic Ising models at low temperature
Recommended article: Strict inequality for critical values of Potts models and random-cluster processes
Recommended article: Q4243211
Recommended article: Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
Recommended article: Power-law bounds for critical long-range percolation below the upper-critical dimension
Recommended article: Phase transitions of extremal cuts for the configuration model
Recommended article: Stochastic Lowner Evolution and the Scaling Limit of Critical Models
Recommended article: A lower bound on the two-arms exponent for critical percolation on the lattice
description: scientific article; zbMATH DE number 7596267