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math.PR2014★ 45 cited
The gap between Gromov-vague and Gromov-Hausdorff-vague topology
Siva Athreya, Wolfgang Löhr, Anita Winter
In Athreya, Löhr, Winter (2016), an invariance principle is stated for a class of strong Markov processes on tree-like metric measure spaces. It is shown that if the underlying spa…
math.PR2014★ 33 cited
Invariance principle for variable speed random walks on trees
Siva Athreya, Wolfgang Löhr, Anita Winter
We consider stochastic processes on complete, locally compact tree-like metric spaces on their "natural scale" with boundedly finite speed measure . Given a triple $(T,r…