Yuliang Shi

collaborators

3 papers

math.PR2026

Percolation on Bidirected Graphs

Yucheng Liu, Leonardo T. Rolla, Yuliang Shi

We study bidirected percolation on an undirected graph $G$ : each edge is replaced by two oppositely directed edges, each of which is open independently with probability $p$ . Two ve…

math.PR2026

The Heavy-tailed Frog Model

Omer Angel, Jonathan Hermon, Yuliang Shi

We study the frog model on $Z^{d}$ and on the discrete tori $T_{L}^{d}$ , $d \geq 2$ , with a symmetric, translation-invariant, and heavy-tailed transition kernel satisfying…

math.PR2026

Existence and sharpness of the phase transition for the frog model on transitive graphs

Omer Angel, Daniel de la Riva, Jonathan Hermon +1

We consider a slight modification of the frog model. For a given graph, each vertex has $Poisson (λ)$ particles (or frogs). At time zero, only the particles at the origin a…