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math.PR2021
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…
math.PR2021
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…