5 papers
Size distribution of clusters in site-percolation on random recursive tree
Chenlin Gu, Linglong Yuan
We prove rigorously several results about the site-percolation on random recursive trees, observed in the previous work by Kalay and Ben-Naim [J. Phys. A48(2015), no.4, 0405001, 15…
First passage of a run-and-tumble particle with exponentially-distributed tumble duration in the presence of a drift
Pascal Grange, Linglong Yuan
We consider a run-and-tumble particle on a finite interval with two absorbing end points. The particle has an internal velocity state that switches between three values $v,…
Heavy-tail asymptotics for the length of a busy period in a Generalised Jackson Network
Sergey Foss, Masakiyo Miyazawa, Linglong Yuan
We consider a Generalised Jackson Network with finitely many servers, a renewal input and service times at each queue. We assume the network to be stable and, in addition,…
Mean first-passage time at the origin of a run-and-tumble particle with periodic forces
Pascal Grange, Linglong Yuan
We consider a run-and-tumble particle on a half-line with an absorbing target at the origin. The particle has an internal velocity state that switches between two opposite values a…
Weak convergence of continuous-state branching processes with large immigration
Clément Foucart, Linglong Yuan
Functional limit theorems are established for continuous-state branching processes with immigration (CBIs), where the reproduction laws have finite first moments and the immigratio…