1 citations · 1 across the 2 of their papers we have counts for
4 papers
Branching random walks conditioned on rarely survival
Tianyi Bai, Pierre Rousselin
In this paper, we show that a Galton-Watson tree conditioned to have a fixed number of particles in generation converges in distribution as , and with this…
Conductance of a subdiffusive random weighted tree
Pierre Rousselin
We work on a Galton--Watson tree with random weights, in the so-called "subdiffusive" regime. We study the rate of decay of the conductance between the root and the -th level of…
Dimension Drop for Transient Random Walks on Galton-Watson Trees in Random Environments
Pierre Rousselin
We prove that the dimension drop phenomenon holds for the harmonic measure associated to a transient random walk in a random environment (as defined by R. Lyons and R. Pemantle in…
Invariant Measures, Hausdorff Dimension and Dimension Drop of some Harmonic Measures on Galton-Watson Trees
Pierre Rousselin
We consider infinite Galton-Watson trees without leaves together with i.i.d.~random variables called marks on each of their vertices. We define a class of flow rules on marked Galt…