27 citations · 34 across the 7 of their papers we have counts for
9 papers
Yaglom theorem for critical branching random walk on
Xinxin Chen, Shen Lin
We study the critical branching random walk on started from a distant point and conditioned to hit some compact set in . We are interested in t…
Scaling limits of tree-valued branching random walks
Thomas Duquesne, Robin Khanfir, Shen Lin +1
We consider a branching random walk (BRW) taking its values in the -ary rooted tree (i.e. the set of finite words written in the alphabet $\{…
Resistance growth of branching random networks
Dayue Chen, Yueyun Hu, Shen Lin
Consider a rooted infinite Galton-Watson tree with mean offspring number , and a collection of i.i.d. positive random variables indexed by all the edges in the tree. We…
Harmonic measure for biased random walk in a supercritical Galton-Watson tree
Shen Lin
We consider random walks -biased towards the root on a Galton-Watson tree, whose offspring distribution is non-degenerate and has finite mean . In the tra…
Typical behavior of the harmonic measure in critical Galton-Watson trees with infinite variance offspring distribution
Shen Lin
We study the typical behavior of the harmonic measure in large critical Galton-Watson trees whose offspring distribution is in the domain of attraction of a stable distribution wit…
Typical behavior of the harmonic measure in critical Galton-Watson trees
Shen Lin
We study the typical behavior of the harmonic measure of balls in large critical Galton-Watson trees whose offspring distribution has finite variance. The harmonic measure consider…
The harmonic measure of balls in critical Galton-Watson trees with infinite variance offspring distribution
Shen Lin
We study properties of the harmonic measure of balls in large critical Galton-Watson trees whose offspring distribution is in the domain of attraction of a stable distribution with…
The range of tree-indexed random walk in low dimensions
Jean-François Le Gall, Shen Lin
We study the range of a random walk on the -dimensional lattice indexed by a random tree with vertices. Under the assumption that the random walk is cen…
The range of tree-indexed random walk
Jean-François Le Gall, Shen Lin
We provide asymptotics for the range R(n) of a random walk on the d-dimensional lattice indexed by a random tree with n vertices. Using Kingman's subadditive ergodic theorem, we pr…