36 citations · 111 across the 20 of their papers we have counts for
22 papers
The stable graph: the metric space scaling limit of a critical random graph with i.i.d. power-law degrees
Guillaume Conchon--Kerjan, Christina Goldschmidt
We prove a metric space scaling limit for a critical random graph with independent and identically distributed degrees having power-law tail behaviour with exponent , where $α…
Parking On A Random Rooted Plane Tree
Qizhao Chen, Christina Goldschmidt
In this paper, we investigate a parking process on a uniform random rooted plane tree with vertices. Every vertex of the tree has a parking space for a single car. Cars arrive…
The scaling limit of a critical random directed graph
Christina Goldschmidt, Robin Stephenson
We consider the random directed graph with vertex set in which each of the possible directed edges is present independently with probabil…
Moderate deviations of subgraph counts in the Erdős-Rényi random graphs and
Christina Goldschmidt, Simon Griffiths, Alex Scott
The main contribution of this article is an asymptotic expression for the rate associated with moderate deviations of subgraph counts in the Erdős-Rényi random graph . Our…
Stable graphs: distributions and line-breaking construction
Christina Goldschmidt, Bénédicte Haas, Delphin Sénizergues
For , the -stable graph arises as the universal scaling limit of critical random graphs with i.i.d. degrees having a given -dependent power-law tail behavior. It…
The spread of fire on a random multigraph
Christina Goldschmidt, Eleonora Kreačić
We study a model for the destruction of a random network by fire. Suppose that we are given a multigraph of minimum degree at least 2 having real-valued edge-lengths. We pick a uni…