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This talk is concerned with a direct sampling method for imaging the support of a frequency-dependent source term embedded in a homogeneous and isotropic medium. The source term is given by the Fourie...
The Dean-Kawasaki equation with non-local singular interactions and correlated noise will be introduced, which describes the evolution of the density function for a system of finitely many particles g...
上世纪六十年代以来,随着数字通信技术的快速发展,离散型数学(组合设计和图论,数论,代数以及有限域上代数几何)逐渐成为通信许多应用领域的重要数学工具。本报告沿着六十年来历史发展的足迹,通俗介绍在代数纠错码和信息安全方面一些重要发展和数学问题,以实际例子说明数学所起的作用。
In this talk I will present one of our recent work in rigorous derivation of the degenerate parabolic-elliptic Keller-Segel system. We establish the classical solution theory of the degenerate parabol...
假设离散的安德森模型(一类离散随机薛定谔算子)满足安德森局部化. 与 Weimin Wang 合作,我们证明了一个非线性版本,即非线性随机薛定谔方程存在大量关于时间的拟周期解.
I will discuss the Hardy-Littlewood integral inequality with sharp constant on the Heisenberg goup proved by Frank and Lieb. I will outline a simpler proof which bypasses the sophisticated argument fo...
It is well known that the substitutes condition plays a key role in guaranteeing the existence of competitive equilibrium in discrete economies. It also brings useful structure to equilibria, and enge...
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
Consumer expenditures in the United Kingdom account for over 50% of Gross Domestic Product on the expenditure side, yet their impact on economic activity is often Global geometric structures live on m...
Rulkov map is an important neuron model in neuroscience and is also an important mathematical discrete-time model in dynamical system. In this talk, I will introduce the Rulkov map and its research pr...
本报告主要介绍由于离散对称性对应的多地非局域可积系统。首先介绍由于反演对称性对应的二地和四地非线性薛定谔方程。然后介绍任意地的椭圆型sine-Gordon方程和双曲非反演型二地sine-Gordon系统。对于多地非局域系统的求解,本报告特别介绍一种化非局域系统为局域系统的求解方法:对称反对称分解方法,并以一个特殊的二地sine-Gordon系统为例用对称反对称方法求解。最后简单介绍二地peakon...
Let $f$ be a holomorphic Hecke cusp form or Hecke-Maass cusp form for $SL(2,\mathbb{Z}),$ and let $\lambda_{f}(n)$ be the $n$th Hecke eigenvalue. Rankin and Selberg showed that$$\sum_{1 \leq m \leq X}...
2021年6月18-20日,国家天元数学西北中心在西安交通大学数学楼成功举办“最优化方法与人工智能”主题年活动——“离散优化问题的类AlphaGo算法研讨会”。会议邀请了十位运筹学领域的知名专家做学术报告,来自中国科学院大学、华东师范大学、中国科学院数学与系统科学研究院、北京工业大学、中国科学院计算技术研究所、西安交通大学、西北工业大学、航空工业自控所、北京邮电大学等单位的60余位青年学者和在校研...

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