10 citations · 24 across the 17 of their papers we have counts for
17 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…
Finding pure Nash equilibria in large random games
Andrea Collevecchio, Tuan-Minh Nguyen, Ziwen Zhong
Best Response Dynamics (BRD) is a class of strategy updating rules to find Pure Nash Equilibria (PNE) in a game. At each step, a player is randomly picked, and the player switches…
Strongly vertex-reinforced jump process on graphs with bounded degree
Andrea Collevecchio, Tuan-Minh Nguyen
We study asymptotic behaviours of a non-linear vertex-reinforced jump process defined on an arbitrary infinite graph with bounded degree. We prove that if the reinforcement functio…
Speed of excited random walks with long backward steps
Tuan-Minh Nguyen
We study a model of multi-excited random walk with non-nearest neighbour steps on , in which the walk can jump from a vertex to either or with $i\in \{1,…
Long range one-cookie random walk with positive speed
Andrea Collevecchio, Kais Hamza, Tuan-Minh Nguyen
We study one-dimensional excited random walks with non-nearest neighbor jumps. When the process is at a vertex that has not been visited before, its next transition has a positive…
Vertex-reinforced jump process on the integers with nonlinear reinforcement
Andrea Collevecchio, Tuan-Minh Nguyen, Stanislav Volkov
We consider a non-linear vertex-reinforced jump process (VRJP()) on with an increasing measurable weight function and initial weights e…
Strongly vertex-reinforced jump process on a complete graph
Olivier Raimond, Tuan-Minh Nguyen
The aim of our work is to study vertex-reinforced jump processes with super-linear weight function , for some . On any complete graph , we prove that…
On a class of random walks in simplexes
Tuan-Minh Nguyen, Stanislav Volkov
We study the limit behaviour of a class of random walk models taking values in the -dimensional unit standard simplex, , defined as follows. From an interior point ,…
A universal result for consecutive random subdivision of polygons
Nguyen Tuan Minh, Stanislav Volkov
We consider consecutive random subdivision of polygons described as follows. Given an initial convex polygon with edges, we choose a point at random on each edge, such tha…
Conservation law for the Cauchy-Navier equation of elastodynamics wave via Fourier transform
Nguyen Van Vinh, Nguyen Tuan Minh
In this paper, we use the method of Fourier analysis to derive the formula of the total energy for the Cauchy problem of the Cauchy-Navier elastodynamics wave equation describing t…
Classical solution of the Cauchy problem for biwave equation: Application of Fourier transform
Victor Korzyuk, Nguyen Van Vinh, Nguyen Tuan Minh
In this paper, we use some Fourier analysis techniques to find an exact solution to the Cauchy problem for the -dimensional biwave equation in the upper half-space $\mathbb{R}^n…
Malliavin-Stein method for multi-dimensional U-statistics of Poisson point processes
Nguyen Tuan Minh
In this paper, we give an upper bound for a probabilistic distance between a Gaussian vector and a vector of U-statistics of Poisson point processes by applying Malliavin-Stein ine…