48 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Hunan Normal UniversityCN41 papers
- Xiamen UniversityCN8 papers
- North Carolina State UniversityUS6 papers
- Central South UniversityCN4 papers
- South China Normal UniversityCN4 papers
- Chongqing UniversityCN3 papers
- Hunan UniversityCN3 papers
- Rutgers, The State University of New JerseyUS3 papers
- Purdue University West LafayetteUS2 papers
- Tongji UniversityCN2 papers
- Aalto UniversityFI1 paper
- Academy of Mathematics and Systems ScienceCN1 paper
41 papers
Twisted quantum affine algebras and equivariant -coordinated modules for quantum vertex algebras
Naihuan Jing, Fei Kong, Haisheng Li +1
This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish -adic versions of the sma…
Quantum affine vertex algebras associated to untwisted quantum affinization algebras
Fei Kong
Let be the untwisted quantum affinization of a symmetrizable quantum Kac-Moody algebra . For $\ell\in\mathbb…
A class of self-affine tiles in that are -dimensional tame balls
Guotai Deng, Chuntai Liu, Sze-man Ngai
We study a family of self-affine tiles in () with noncollinear digit sets, which naturally generalizes a class studied originally by Deng and Lau in $\mathbb{…
The divergence of Mock Fourier series for spectral measures
Wu-Yi Pan, Wen-Hui Ai
In this paper, we study divergence properties of Fourier series on Cantor-type fractal measure, also called Mock Fourier series. We give a sufficient condition under which the Mock…
Second-order flows for computing the ground states of rotating Bose-Einstein condensates
Haifan Chen, Guozhi Dong, Wei Liu +1
Second-order flows in this paper refer to some artificial evolutionary differential equations involving second-order time derivatives distinguished from gradient flows which are co…
Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity
Wenlin Qiu, Xu Xiao, Kexin Li
This paper establishes and analyzes a second-order accurate numerical scheme for the nonlinear partial integrodifferential equation with a weakly singular kernel. In the time direc…
Computing the action ground state for the rotating nonlinear Schrödinger equation
Wei Liu, Yongjun Yuan, Xiaofei Zhao
We consider the computations of the action ground state for a rotating nonlinear Schrödinger equation. It reads as a minimization of the action functional under the Nehari constrai…
Conformal Embeddings via Heat Kernel
Zhitong Su
For any n-dimensional compact Riemannian Manifold with smooth metric , by employing the heat kernel embedding introduced by Bérard-Besson-Gallot'94, we intrinsically constru…
Nonmonotone local minimax methods for finding multiple saddle points
Wei Liu, Ziqing Xie, Wenfan Yi
In this paper, by designing a normalized nonmonotone search strategy with the Barzilai--Borwein-type step-size, a novel local minimax method (LMM), which is a globally convergent i…
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs
Wei Liu, Ziqing Xie, Wenfan Yi
The local minimax method (LMM) proposed in [Y. Li and J. Zhou, SIAM J. Sci. Comput., 23(3), 840--865 (2001)] and [Y. Li and J. Zhou, SIAM J. Sci. Comput., 24(3), 865--885 (2002)] i…
A weak law of large numbers for the sequence of uncorrelated fuzzy random variables
Li Guan, Jinping Zhang, Jieming Zhou
We shall prove a weak law of large numbers for the uncorrelated (see Definition 3.1) fuzzy random variable sequence with respect to the uniform Hausdorff metric , whi…
Deforming vertex algebras by vertex bialgebras
Naihuan Jing, Fei Kong, Haisheng Li +1
This is a continuation of a previous study initiated by one of us on nonlocal vertex bialgebras and smash product nonlocal vertex algebras. In this paper, we study a notion of righ…
Transition path theory for Langevin dynamics on manifold: optimal control and data-driven solver
Yuan Gao, Tiejun Li, Xiaoguang Li +1
We present a data-driven point of view for rare events, which represent conformational transitions in biochemical reactions modeled by over-damped Langevin dynamics on manifolds in…
Khavinson problem for hyperbolic harmonic mappings in Hardy space
Jiaolong Chen, David Kalaj, Petar Melentijević
\begin{abstract} In this paper, we partly solve the generalized Khavinson conjecture in the setting of hyperbolic harmonic mappings in Hardy space. Assume that …
-equivariant -coordinated quasi modules for nonlocal vertex algebras
Naihuan Jing, Fei Kong, Haisheng Li +1
In this paper, we study -equivariant -coordinated quasi modules for nonlocal vertex algebras. Among the main results, we establish several conceptual results, including…
The existence of full dimensional invariant tori for an almost-periodically forced nonlinear beam equation
Shujuan Liu, Guanghua Shi
In this paper, we prove the existence of full dimensional invariant tori for a non-autonomous, almost-periodically forced nonlinear beam equation with a periodic boundary condition…
On quantum toroidal algebra of type
Fulin Chen, Naihuan Jing, Fei Kong +1
In this paper we introduce a new quantum algebra which specializes to the -toroidal Lie algebra of type . We prove that this quantum toroidal algebra has a natural triangul…
Twisted quantum affinizations and quantization of extended affine Lie algebras
Fulin Chen, Naihuan Jing, Fei Kong +1
In this paper, for an arbitrary Kac-Moody Lie algebra and a diagram automorphism of satisfying certain natural linking conditions, we introduce and…
On the existence-uniqueness and exponential estimate for solutions to stochastic functional differential equations driven by G-Lévy process
Faiz Faizullah, Muhammad Farooq, MA Rana +1
The existence-uniqueness theory for solutions to stochastic dynamic systems is always a significant theme and has received a huge attention. The objective of this article is to stu…
Global Regularity of weak solutions to the generalized Leray equations and its applications
Baishun Lai, Changxing Miao, Xioaxin Zheng
We investigate a regularity for weak solutions of the following generalized Leray equations \begin{equation*} (-Δ)^αV- \frac{2α-1}{2α}V+V\cdot\nabla V-\frac{1}{2α}x\cdot \nabla V+\…
Limits for embedding distributions
Jinlian Zhang, Xuhui Peng, Yichao Chen
In this paper, we find and prove that, under some conditions, the embedding distributions of -linear graph families with spiders are asymptotic normal distributions. It can been…
Isogeometric Analysis for Surface PDEs with Extended Loop Subdivision
Qing Pan, Timon Rabczuk, Gang Xu +1
We investigate the isogeometric analysis for surface PDEs based on the extended Loop subdivision approach. The basis functions consisting of quartic box-splines corresponding to ea…
Distinguished representations, Shintani base change and a finite field analogue of a conjecture of Prasad
Chang Yang
Let be a quadratic extension of fields, and a connected quasi-split reductive group over . Let be the opposition group obtained by twisting by the duality…
Fast Multipole Method For 3-D Helmholtz Equation In Layered Media
Bo Wang, Wenzhong Zhang, Wei Cai
In this paper, a fast multipole method (FMM) is proposed to compute long-range interactions of wave sources embedded in 3-D layered media. The layered media Green's function for th…