搜索结果: 1-15 共查到“离散数学 Mathematics”相关记录16条 . 查询时间(0.08 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Direct sampling method to inverse wave-number-dependent source problems: determination of the support of a stationary source
反波数 相关源问题 直接采样 固定源
2023/11/29
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dean-Kawasaki equation with singular non-local interactions：well-posedness and large deviations
奇异非局部 相互作用 Dean-Kawasaki方程 适定性 大偏差
2023/11/13
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：离散型数学在信息科学中的一些应用
离散 数学 信息科学
2023/5/12
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。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence in probability from moderate interacting SDE system to degenerate Keller-Segel systema
中度相互作用 SDE系统 凯勒-西格尔系统 概率收敛性
2023/4/13
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：非线性随机薛定谔方程的拟周期解
非线性 随机薛定谔方程 拟周期解 安德森模型
2023/4/14
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.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A simpler proof of the Frank-Lieb inequality on the Heisenberg group
海森堡群 Frank-Lieb inequality 更简单证明
2023/4/14
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Substitutes and Complements
替代条件 离散经济体 竞争均衡
2023/4/18
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part II discrete case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part I continuous case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A diffusion scheme based on the foliation graph stripe for optimizing discrete harmonic foliation energy
叶子图条带 优化 离散谐波 叶能量 扩散方案
2023/4/28
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rulkov map
鲁尔科夫图 神经科学 动力系统 数学离散 时间模型
2023/5/5
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：多地系统和多地物理学
多地系统 多地物理学 离散对称性
2023/5/5
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Rankin-Selberg problems in families
家庭 兰金-塞尔伯格问题 Hecke尖点形式
2023/5/9
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}...
Discrete mathematics is a branch of the mathematical sciences, with a wide range of challenging research problems and important applications in industry. Discrete mathematics has applications to all f...
2017年国际代数，离散数学和应用会议（International Conference on Algebra,Discrete Mathematics,and Applications）
2017年 国际代数，离散数学和应用 会议
2017/11/24
Fields Medal is considered as the Nobel Prize in Mathematics. We are pleased to announce that Fields Medalist Prof. E. Zelmanov is delivering Plenary Lecture in the conference.The purpose of the confe...