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math.PR2020
On the largest component of subcritical random hyperbolic graphs
Dieter Mitsche, Roland Diel
We consider the random hyperbolic graph model introduced by [KPK + 10] and then formalized by [GPP12]. We show that, in the subcritical case > 1, the size of the largest compon…
math.PR2018
The heavy range of randomly biased walks on trees
Pierre Andreoletti, Roland Diel
We focus on recurrent random walks in random environment (RWRE) on Galton-Watson trees. The range of these walks, that is the number of sites visited at some fixed time, has been s…