349 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN20 papers
- Shenzhen UniversityCN20 papers
- Texas A&M UniversityUS15 papers
- University of CambridgeGB13 papers
- Zhejiang UniversityCN12 papers
- Beihang UniversityCN11 papers
- Academy of Mathematics and Systems ScienceCN9 papers
- Korea Institute for Advanced StudyKR9 papers
- University of Science and Technology of ChinaCN8 papers
- Beijing Normal UniversityCN7 papers
- Peking UniversityCN7 papers
- Tsinghua UniversityCN7 papers
11 papers · 1 filter
The density of nonuniform hyperbolicity in conservative diffeomorphisms
Chao Liang, Yun Yang
Let $\Diff^{ r}_m(M)$ be the set of volume-preserving diffeomorphisms on a compact Riemannian manifold (). In this paper, we prove that the diffeomorphis…
The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space
Zihua Guo, Chunyan Huang
We prove that in dimensions three and higher the Landau-Lifshitz- Gilbert equation with small initial data in the critical Besov space is globally wellposed in a uniform way with r…
Existence of solutions for a higher order Kirchhoff type problem with exponential critical growth
Liang Zhao, Ning Zhang
The higher order Kirchhoff type equation $$\int_{\mathbb{R}^{2m}}(|\nabla^m u|^2 +\sum_{γ=0}^{m-1}a_γ(x)|\nabla^γu|^2)dx \left((-Δ)^m u+\sum_{γ=0}^{m-1}(-1)^γ\nabla^γ\cdot(a_γ(x)\n…
On Local Strong Solutions to the Cauchy Problem of Two-Dimensional Density-Dependent Magnetohydrodynamic Equations with Vacuum
Boqiang Lv, Zhonghai Xu, Xin Zhong
This paper concerns the Cauchy problem of the nonhomogeneous incompressible magnetohydrodynamic (MHD) equations on the whole two-dimensional (2D) space with vacuum as far field den…
Analysis of stability of community structure across multiple hierarchical levels
Hui-Jia Li, Xiang-Sun Zhang
The analysis of stability of community structure is an important problem for scientists from many fields. Here, we propose a new framework to reveal hidden properties of community…
Measuring robustness of community structure in complex networks
Hui-Jia Li, Hao Wang, Luonan Chen
The theory of community structure is a powerful tool for real networks, which can simplify their topological and functional analysis considerably. However, since community detectio…
Social significance of community structure: Statistical view
Hui-Jia Li, J J. Daniels
Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection m…
A Full Multigrid Method for Nonlinear Eigenvalue Problems
Shanghui Jia, Hehu Xie, Manting Xie +1
This paper is to introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of nonlinear eigenvalue problem into a s…
Community detection in bipartite networks using weighted symmetric binary matrix factorization
Zhong-Yuan Zhang, Yong-Yeol Ahn
In this paper we propose weighted symmetric binary matrix factorization (wSBMF) framework to detect overlapping communities in bipartite networks, which describe relationships betw…
Model Selection Consistency of Lasso for Empirical Data
Yuehan Yang, Hu Yang
Large-scale empirical data, the sample size and the dimension are high, often exhibit various characteristics. For example, the noise term follows unknown distributions or the mode…
Normalizing the causality between time series
X. San Liang
Recently, a rigorous yet concise formula has been derived to evaluate the information flow, and hence the causality in a quantitative sense, between time series. To assess the impo…