7 citations · 16 across the 5 of their papers we have counts for
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Biased branching random walks on Bienaymé--Galton--Watson trees
Julien Berestycki, Nina Gantert, David Geldbach +1
We study -biased branching random walks on Bienaymé--Galton--Watson trees in discrete time. We consider the maximal displacement at time , $\max_{\vert u \vert =n} \vert X(u)…
A necessary and sufficient condition for the convergence of the derivative martingale in a branching Lévy process
Bastien Mallein, Quan Shi
A continuous-time particle system on the real line satisfying the branching property and an exponential integrability condition is called a branching Lévy process, and its law is c…
Probability tilting of compensated fragmentations
Quan Shi, Alexander R. Watson
Fragmentation processes are part of a broad class of models describing the evolution of a system of particles which split apart at random. These models are widely used in biology,…
A growth-fragmentation model related to Ornstein-Uhlenbeck type processes
Quan Shi
Growth-fragmentation processes describe systems of particles in which each particle may grow larger or smaller, and divide into smaller ones as time proceeds. Unlike previous studi…
Growth-fragmentation processes and bifurcators
Quan Shi
Markovian growth-fragmentation processes introduced by Bertoin model a system of growing and splitting cells in which the size of a typical cell evolves as a Markov process wit…
On the number of large triangles in the Brownian triangulation and fragmentation processes
Quan Shi
The Brownian triangulation is a random compact subset of the unit disk introduced by Aldous. For , let be the number of triangles whose sizes (measured in different way…