5 citations · 6 across the 9 of their papers we have counts for
10 papers
Quenched scaling limit of critical percolation clusters on Galton-Watson trees
Eleanor Archer, Tanguy Lions
We consider quenched critical percolation on a supercritical Galton--Watson tree with either finite variance or -stable offspring tails for some . We show that the G…
Catalan percolation
Eleanor Archer, Ivailo Hartarsky, Brett Kolesnik +3
In Catalan percolation, all nearest-neighbor edges along are initially occupied, and all other edges are open independently with probability . Open edges…
Scaling limit of critical percolation clusters on hyperbolic random half-planar triangulations and the associated random walks
Eleanor Archer, David A. Croydon
We show that the Gromov-Hausdorff-Prohorov scaling limit of a critical percolation cluster on a random hyperbolic triangulation of the half-plane is the Brownian continuum random t…
The GHP scaling limit of uniform spanning trees of dense graphs
Eleanor Archer, Matan Shalev
We consider dense graph sequences that converge to a connected graphon and prove that the GHP scaling limit of their uniform spanning trees is Aldous' Brownian CRT. Furthermore, we…
Parabolic Anderson model on critical Galton-Watson trees in a Pareto environment
Eleanor Archer, Anne Pein
The parabolic Anderson model is the heat equation with some extra spatial randomness. In this paper we consider the parabolic Anderson model with i.i.d. Pareto potential on a criti…
Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees
George Andriopoulos, Eleanor Archer
We prove an invariance principle for linearly edge reinforced random walks on -stable critical Galton-Watson trees, where and where the edge joining to its pare…
The GHP scaling limit of uniform spanning trees in high dimensions
Eleanor Archer, Asaf Nachmias, Matan Shalev
We show that the Brownian continuum random tree is the Gromov-Hausdorff-Prohorov scaling limit of the uniform spanning tree on high-dimensional graphs including the -dimensional…
Random walks on decorated Galton-Watson trees
Eleanor Archer
In this article, we study a simple random walk on a decorated Galton-Watson tree, obtained from a Galton-Watson tree by replacing each vertex of degree with an independent copy…
Infinite stable looptrees
Eleanor Archer
We give a construction of an infinite stable looptree, which we denote by , and prove that it arises both as a local limit of the compact stable looptrees o…
Brownian motion on stable looptrees
Eleanor Archer
In this article, we introduce Brownian motion on stable looptrees using resistance techniques. We prove an invariance principle characterising it as the scaling limit of random wal…