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时标上局部耦合线性系统的聚类同步
聚类同步 局部耦合线性系统 时标 牵制控制
2022/3/28
相关信道下基于功率分配的MIMO系统容量分析
MIMO 信道容量 注水算法 相关系数
2022/3/23
一种基于形态分量的多聚焦图像融合算法
图像融合 形态分量 curvelet变换 高斯差分算子 特征活跃度 细节信息
2022/3/23
基于纹理特征融合的人脸图像质量评估算法
人脸质量评估 纹理特征融合 支持向量机
2022/3/30
具分布时滞和脉冲的BAM神经网络的全局指数稳定性
BAM神经网络 连续分布时滞 全局指数稳定性
2022/3/30
具有偏利关系的随机三种群模型的动力学分析
捕食-食饵系统 随机扰动 均值有界 平稳分布
2022/3/30
关联聚类问题的半定规划舍入算法
关联聚类问题 半定规划舍入 外部旋转 近似算法
2018/3/12
主要研究带有两类权重的一般图下的关联聚类问题. 问题的定义是, 给定图G=(V,E), 每条边有两类权重, 我们需要将点集V进行聚类, 目标是最大相同性, 即最大化属于某个类的边的第一类权重之和加上在两个不同类之间的边的第二类权重之和. 该问题是NP-难的, 我们利用外部旋转技术将现有的半定规划舍入0.75-近似算法改进. 算法的分析指出, 改进的算法虽然不能将近似比0.75提高, 但是对于大多数...
We study the behavior of the Yang-Mills flow for unitary connections on compact and non-compact oriented surfaces with varying metrics. The flow can be used to define a one dimensional foliation on th...
Harmonic Maps and Teichmuller Theory
Teichmuller space harmonic maps Weil-Petersson metric mapping class group character variety Higgs bundle
2015/12/17
Teichmuller theory is rich in applications to topology and physics. By way of the mapping class group the subject is closely related to knot theory and threemanifolds. From the uniformization theorem,...
THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
COHOMOLOGY OF SL(2, C) CHARACTER VARIETIES OF SURFACE GROUPS AND THE ACTION OF THE TORELLI GROUP
SL(2, C) CHARACTER VARIETIES SURFACE GROUPS TORELLI GROUP
2015/12/17
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A, Φ), where A is a unitary connection on a rank 2 hermitian vector bundle over a compact Riemann surface, and Φ is ...