47 citations · 62 across the 14 of their papers we have counts for
14 papers
Resolvent estimates for one-dimensional Dirac operators with imaginary potentials
Antonio Arnal, Tho Nguyen Duc, Petr Siegl
We investigate massive one-dimensional Dirac operators perturbed by diagonal matrix potentials of the form where the function is real-valued and unbounded at infinity. Fo…
Abrupt changes in the spectra of the Laplacian with constant complex magnetic field
David Krejcirik, Tho Nguyen Duc, Nicolas Raymond
We analyze the spectrum of the Laplace operator, subject to homogeneous complex magnetic fields in the plane. For real magnetic fields, it is well-known that the spectrum consists…
The Laplacian with complex magnetic fields
David Krejcirik, Tho Nguyen Duc, Nicolas Raymond
We study the two-dimensional magnetic Laplacian when the magnetic field is allowed to be complex-valued. Under the assumption that the imaginary part of the magnetic potential is r…
Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump
Lyonell Boulton, David Krejcirik, Tho Nguyen Duc
In this paper we present a complete spectral analysis of Dirac operators with non-Hermitian matrix potentials of the form where . For …
Super-rays grouping scheme and novel coding architecture for computational time reduction of graph-based Light Field coding
Bach Nguyen Gia, Chanh Minh Tran, Tho Nguyen Duc +2
Graph-based Light Field coding using the concept of super-rays is powerful to exploit signal redundancy along irregular shapes and achieves good energy compaction, compared to rect…
Schrödinger operator with a complex steplike potential
Tho Nguyen Duc
The purpose of this article is to study pseudospectral properties of the one-dimensional Schrödinger operator perturbed by a complex steplike potential. By constructing the resolve…
Novel projection schemes for graph-based Light Field coding
Bach Gia Nguyen, Chanh Minh Tran, Tho Nguyen Duc +2
In Light Field compression, graph-based coding is powerful to exploit signal redundancy along irregular shapes and obtains good energy compaction. However, apart from high time com…
Subtitle-based Viewport Prediction for 360-degree Virtual Tourism Video
Chuanzhe Jing, Tho Nguyen Duc, Phan Xuan Tan +1
360-degree streaming videos can provide a rich immersive experiences to the users. However, it requires an extremely high bandwidth network. One of the common solutions for saving…
Pseudomodes for biharmonic operators with complex potentials
Tho Nguyen Duc
This article is devoted to the construction of pseudomodes of one-dimensional biharmonic operators with the complex-valued potentials via the WKB method. As a by-product, the shape…
Pseudomodes for non-self-adjoint Dirac operators
David Krejcirik, Tho Nguyen Duc
Depending on the behaviour of the complex-valued electromagnetic potential in the neighbourhood of infinity, pseudomodes of one-dimensional Dirac operators corresponding to large p…
Continuous QoE Prediction Based on WaveNet
Phan Xuan Tan, Tho Nguyen Duc, Chanh Minh Tran +1
Continuous QoE prediction is crucial in the purpose of maximizing viewer satisfaction, by which video service providers could improve the revenue. Continuously predicting QoE is ch…
Convolutional Neural Networks for Continuous QoE Prediction in Video Streaming Services
Tho Nguyen Duc, Chanh Minh Tran, Phan Xuan Tan +1
In video streaming services, predicting the continuous user's quality of experience (QoE) plays a crucial role in delivering high quality streaming contents to the user. However, t…
Magnetic WKB constructions on surfaces
Yannick Guedes Bonthonneau, Tho Nguyen Duc, Nicolas Raymond +1
This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumpti…
Boundary effects on the magnetic Hamiltonian dynamics in two dimensions
Tho Nguyen Duc, Nicolas Raymond, San Vu Ngoc
We study the Hamiltonian dynamics of a charged particle submitted to a pure magnetic field in a two-dimensional domain. We provide conditions on the magnetic field in a neighbourho…