3 citations · 7 across the 8 of their papers we have counts for
4 papers · 1 filter
On the cover time of Brownian motion on the Brownian continuum random tree
George Andriopoulos, David A. Croydon, Vlad Margarint +1
Upon almost-every realisation of the Brownian continuum random tree (CRT), it is possible to define a canonical diffusion process or `Brownian motion'. The main result of this arti…
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…
Invariance principles for random walks in random environment on trees
George Andriopoulos
In arXiv:1609.05666v1 [math.PR] a functional limit theorem was proved. It states that symmetric processes associated with resistance metric measure spaces converge when the underly…
Convergence of blanket times for sequences of random walks on critical random graphs
George Andriopoulos
Under the assumption that sequences of graphs equipped with resistances, associated measures, walks and local times converge in a suitable Gromov-Hausdorff topology, we establish a…