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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Riemann-Hilbert problem of confluent hypergeometric systems and Seiberg-Witten curves
超几何系统 塞伯格-维滕曲线 黎曼-希尔伯特问题
2023/4/21
This talk first solves explicitly a Riemann-Hilbert problem of confluent hypergeometric systems. It then conjectures and proves a special case that the WKB approximation of the monodromy data of confl...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonsplitting of the Hilbert Exact Sequence and the Principal Chebotarev Density Theorem
希尔伯特精确序列 主切 博塔列夫密度定理 非分裂
2023/4/18
Let $K/k$ be a finite Galois extension of number fields, and let $H_K$ be the Hilbert class field of $K$. We find a way to verify the nonsplitting of the short exact sequence
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Boltzmann 方程是统计物理中的基本方程，被用来描述稀薄气体的运动规律。Boltzmann方程到可压缩Euler方程的流体动力学极限的研究最早可追溯到Maxwell和Boltzmann，是著名的Hilbert第六问题的主要内容之一。 Hilbert于1912年提出了Boltzmann方程的Hilbert展开，从形式上说明了Boltzmann方程的一阶近似是可压缩Euler方程。此后，从数学上...
中国矿业大学数学学院硕士研究生在Riemann-Hilbert方法与可积系统问题方面取得进展（图）
中国矿业大学数学学院 硕士研究生 Riemann-Hilbert方法 可积系统问题
2019/12/10
近日，我校数学学院硕士研究生彭卫琪与导师田守富特聘研究员等在数学物理学领域的著名期刊 Journal of Geometry and Physics上发表题为“Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations”的论文。
本文设Aα2为定义在n维复空间单位多圆柱上的加权Bergman空间，l为Bergman空间上有界复合算子的全体并赋予算子范数拓扑，应用复合算子的Hilbert-Schmidt差分研究l的拓扑连通性.
The "Riemann-Hilbert correspondences" Winter School and Workshop
Riemann-Hilbert correspondences Winter School Workshop
2017/12/20
Recent groundbreaking developments in the theory of irregular holonomic D-modules have brought to light new relationships among D-module theory and other subjects such as Non Commutative Hodge theory,...
Completitud y continuidad en Fundamentos de la geometría de Hilbert:acerca del Vollständigkeitsaxiom (Completeness and Continuity in Hilbert’s Foundations of Geometry:on the Vollstandigkeitsaxiom)
Hilbert geometría euclídea axioma de completitud axiomas de continuidad metodo axiomático filosofía de la geometría Euclidean geometry axiom of completeness continuity axioms axiomatic method philosophy of geometry
2016/6/13
El artículo documenta y analiza las vicisitudes en torno a la incorporación de Hilbert de su famoso axioma de completitud, en el sistema axiomático para la geometría euclídea. Esta tarea es emprendida...
山西大同大学数学与计算机科学学院泛函分析课件 施密特正交化定理-可分Hilbert空间的同构性
山西大同大学数学与计算机科学学院 泛函分析 课件 施密特正交化定理-可分Hilbert空间的同构性
2016/3/16
山西大同大学数学与计算机科学学院泛函分析课件 施密特正交化定理-可分Hilbert空间的同构性。
Fractional diffusion limit for collisional kinetic equations:a Hilbert expansion approach
Fractional diffusion limit collisional kinetic equations Hilbert expansion
2015/10/15
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
THE GEOMETRIC THETA CORRESPONDENCE FOR HILBERT MODULAR SURFACES
GEOMETRIC THETA CORRESPONDENCE；HILBERT MODULAR SURFACES
2015/10/14
In a series of papers [11, 12, 13, 14] we have been studying the geometric theta correspondence (see below) for non-compact arithmetic quotients of symmetric spaces associated to orthogonal groups. It...
沉积旋回是指沉积作用和沉积条件按相同的次序不断重复沉积而组成的一个层序，对地层层序的划分关键是正确划分沉积旋回。利用Hilbert-Huang变换（HHT）对测井曲线进行处理，然后划分沉积旋回，是较常用的一种方法，其对井点处的沉积旋回划分较准确，但在无井之处的沉积旋回划分受到了限制。为此，尝试将地震信号进行经验模态分解后，将其结果用于沉积旋回划分。通过分析正旋回、反旋回、正反旋回以及反正旋回等四种...
HILBERT’S IRREDUCIBILITY THEOREM AND THE LARGER SIEVE
HILBERT IRREDUCIBILITY THEOREM LARGER SIEVE
2015/8/26
We describe an explicit version of Hilbert’s irreducibility theorem using a generalization of Gallagher’s larger sieve. We give applications to the Galois theory of random polynomials, and to the imag...
A theory of concepts and their combinations II: A Hilbert space representation
concept combination conjunction context entanglement exemplar Hilbert space mathematical model prototype potentiality quantum representation state structure
2015/8/3
The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogona...