5 papers
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…
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…
Limit theorems for random walks with spatio-temporal drift
Ngo P. N. Ngoc, Tuan-Minh Nguyen
We study a class of discrete-time random walks in whose conditional drift decays polynomially in time and grows polynomially with the distance from the origin to the…
Open interacting particle systems and Ising measures
Ngo P. N. Ngoc, Gunter M. Schütz
We first survey some open questions concerning stochastic interacting particle systems with open boundaries. Then an asymmetric exclusion process with open boundaries that generali…
An exactly solvable model for RNA polymerase during the elongation stage
Ngo Phuoc Nguyen Ngoc, Vladimir Belitsky, Gunter M. Schütz
We consider a Markovian model for the kinetics of RNA Polymerase (RNAP) which provides a physical explanation for the phenomenon of cooperative pushing during transcription elongat…