13 papers
Recurrence and transience of random walks with drift
Ngo P. N. Ngoc, Tuan-Minh Nguyen
Menshikov and Volkov [Electron. J. Probab. 13 (2008)] studied recurrence and transience of a class of Markovian random walks on whose conditional drift depends on bot…
Superdiffusivity of random walks on the three-dimensional randomly oriented Manhattan lattice
Tuan-Minh Nguyen
We study the superdiffusive behavior of random walks on the randomly oriented Manhattan lattice, i.e., the -dimensional integer lattice where each axis-aligned li…
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…
"True" self-avoiding walks on general trees
Tuan-Minh Nguyen
We study the asymptotic behavior of ``true" self-avoiding random walks on general infinite locally finite trees. In this model, the walk starts at the root and, at each step, from…
Once-excited random walks on general trees
Duy-Bao Le, Tuan-Minh Nguyen
We study once-excited random walks on general trees, modeled by placing a single "cookie" at each vertex. Each cookie acts as a metaphorical reward that is consumed upon the first…
Existence analysis of a three-species memristor drift-diffusion system coupled to electric networks
Ansgar Jüngel, Tuan Tung Nguyen
The existence of global weak solutions to a partial-differential-algebraic system is proved. The system consists of the drift-diffusion equations for the electron, hole, and oxide…