Continuum limit of critical inhomogeneous random graphs
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Publication:682809
DOI10.1007/s00440-016-0737-xzbMath1407.60014arXiv1404.4118OpenAlexW1608202680MaRDI QIDQ682809
Shankar Bhamidi, Sanchayan Sen, Xu An Wang
Publication date: 5 February 2018
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.4118
branching processesscaling limitscritical random graphsmultiplicative coalescentcontinuum random tree\(\mathbf {p}\)-trees
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Cites Work
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- A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
- The component sizes of a critical random graph with given degree sequence
- The augmented multiplicative coalescent, bounded size rules and critical dynamics of random graphs
- Critical random graphs: limiting constructions and distributional properties
- Scaling limits for critical inhomogeneous random graphs with finite third moments
- The multiplicative coalescent, inhomogeneous continuum random trees, and new universality classes for critical random graphs
- The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
- Generating simple random graphs with prescribed degree distribution
- Birth control for giants
- Random trees and applications
- A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
- The asymptotic number of labeled graphs with given degree sequences
- Brownian excursions, critical random graphs and the multiplicative coalescent
- The scaling limit of the minimum spanning tree of the complete graph
- Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent
- Probability inequalities for the sum in sampling without replacement
- Connected components in random graphs with given expected degree sequences
- The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin's local time identity
- Limit distributions and random trees derived from the birthday problem with unequal probabilities
- The continuum limit of critical random graphs
- Critical behavior in inhomogeneous random graphs
- Diffusion approximation for the components in critical inhomogeneous random graphs of rank 1.
- The Phase Transition in the Configuration Model
- The scaling window for a random graph with a given degree sequence
- Critical random graphs and the structure of a minimum spanning tree
- Asymptotic equivalence and contiguity of some random graphs
- Critical percolation on random regular graphs
- Statistical mechanics of complex networks
- Probability for Statistics and Machine Learning
- The Evolution of Random Graphs
- Component behavior near the critical point of the random graph process
- The Size of the Giant Component of a Random Graph with a Given Degree Sequence
- The Structure of a Random Graph at the Point of the Phase Transition
- The Structure and Function of Complex Networks
- The birth of the giant component
- The phase transition in inhomogeneous random graphs
- The Phase Transition in the Erdős-Rényi Random Graph Process
- The average distances in random graphs with given expected degrees
- On a conditionally Poissonian graph process
- Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions
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