3 papers
cond-mat.stat-mech2025
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,…
math.PR2025
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,…
cond-mat.stat-mech2024
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…