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math.PR2026
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…
math.PR2026
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…
math.PR2025
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…