5 papers
Recurrence, Transience, and the Rate of Escape for Elephant Random Walks with Two Memory Channels
Ngo Phuoc Nguyen Ngoc
We study the one-dimensional elephant random walk with two memory channels introduced by Saha [Phys.\ Rev.\ E \textbf{106}, L062105 (2022)] with memory parameter . Mauli…
Tandem Exclusion Process
Ngo Phuoc Nguyen Ngoc, Lam Thi Nhung, Huynh Anh Thi
We introduce the \emph{tandem exclusion process} (TEP), a one-dimensional stochastic lattice model motivated by tandem running in ants. Particles evolve through two cooperative loc…
Invariant measures of exclusion processes with a look-ahead rule
Lam Thi Nhung, Ngo Phuoc Nguyen Ngoc, Huynh Anh Thi
We study a one-dimensional exclusion process with a fixed jump length in which a particle may advance or retreat sites provided all intermediate sites are vacant, wit…
An Exactly Solvable Dual Bus Route Model
Ngo Phuoc Nguyen Ngoc, Huynh Anh Thi, Nguyen Van Vinh
In 1998, O'Loan et al. introduced a simplified bus route model to illustrate bus dynamics. However, fluctuations in passenger numbers make it challenging to achieve an exact soluti…
An Exactly Solvable Model for Single-Lane Unidirectional Ant Traffic
Ngo Phuoc Nguyen Ngoc, Huynh Anh Thi, Nguyen Van Vinh
In 2002, Chowdhury et al. introduced a simplified model aimed at depicting the dynamics of single-lane unidirectional ant traffic. Despite efforts, an exact solution for the statio…