397 citations
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Showing 2016 · math.PRShow all
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math.PR2016
Long Brownian bridges in hyperbolic spaces converge to Brownian trees
Xinxin Chen, Grégory Miermont
We show that the range of a long Brownian bridge in the hyperbolic space converges after suitable renormalisation to the Brownian continuum random tree. This result is a relatively…
math.PR2016★ 5 cited
Random walks and branching processes in correlated Gaussian environment
Frank Aurzada, Alexis Devulder, Nadine Guillotin-Plantard +1
We study persistence probabilities for random walks in correlated Gaussian random environment first studied by Oshanin, Rosso and Schehr. From the persistence results, we can deduc…