1 citations · 1 across the 5 of their papers we have counts for
7 papers
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…
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…
Revisiting the identification problem of a function by the ratio of Laplace transforms of powers
Dongdong Hu, Linglong Yuan, Minzhi Zhao
The ratio of Laplace transforms of powers of a function arises in the context of auction theory. The question whether a function is uniquely identified by this ratio has been answe…
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…
On a Markov chain related to the individual lengths in the recursive construction of Kingman's coalescent
Linglong Yuan
Kingman's coalescent is a widely used process to model sample genealogies in population genetics. Recently there have been studies on the inference of quantities related to the gen…