搜索结果: 1-13 共查到“离散数学 science”相关记录13条 . 查询时间(0.093 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}...