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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem
半线性 次椭圆 狄利克雷问题 多种解
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2023/4/27
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dirichlet可改进性与齐性空间中的等分布
丢番图逼近 Dirichlet可改进性 齐性空间中 等分布
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2023/4/24
丢番图逼近中经典的Dirichlet逼近定理给出了用有理向量逼近给定实向量时误差与分母之间的关系。1969年前后，Davenport和Schmidt定义了Dirichlet可改进向量，这些实向量被有理向量逼近时误差比Dirichlet逼近定理给出的更小；他们证明了这些向量构成了R^n中的一个Lebesgue零测集，并提出了如下问题：R^n中光滑曲线上的Dirichlet可改进向量是否仍然是零测的。...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Monge-Ampère 方程Dirichlet和边界爆破问题解的研究
Monge-Ampère方程 Dirichlet 边界爆破问题解
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2023/4/26
在这个报告中，我将介绍我们近些年在Monge-Ampère 方程 Dirichlet 和边界爆破问题解的研究方面所取得的最新成果。主要包括边界爆破解的存在性、全局估计、边界估计、边界渐近行为以及径向解的存在性、多解性。这些成果主要是和华北电力大学张学梅老师合作完成。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dirichlet is not just singular and bad
狄利克雷 单数 坏的
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2023/4/27
The subject of Diophantine approximation studies how a real vector is approximated by rational vectors. Diophantine sets are subsets of real vectors defined by certain approximate functions. Among the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards a zero-one law for improvements to Dirichlet's approximation theorem
Dirichlet近似定理 改进 零一定律
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2023/5/10
In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. This notion was...
Stokes方程Dirichlet边界控制问题的能量空间方法及有限元逼近
Stokes方程 Dirichlet边界控制问题 能量空间方法 有限元逼近
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2023/1/5
本文研究了二维多边形区域上的Stokes方程Dirichlet边界控制问题。其中目标泛函中的控制变量正则化项包含两类情形：基于L^2范数的正则化和能量空间范数正则化。我们证明了优化问题的适定性，给出了一阶最优性条件，得到了解的正则性结果，提出了求解两类问题的有限元离散格式，并对能量空间方法证明了有限元误差估计。考虑Stokes方程Dirichlet边界控制问题能量空间正则化方法的出发点来源于我们的...
关于带Dirichlet边界条件的Gross--Pitaevskii 方程的半经典极限
Dirichlet边界条件 Gross--Pitaevskii 方程 半经典极限
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2023/1/5
In this paper, we justify the semiclassical limit of the Gross--Pitaevskii equation with Dirichlet boundary condition on the three-dimensional upper space under the assumption that the leading-order t...
Dirichlet 过程及其研究进展
Dirichlet混合过程 相依Dirichlet 过程 马尔可夫链蒙特卡洛 分块Gibbs抽样器
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2018/2/6
非参数贝叶斯分析主要是将兴趣参数或潜变量的分布视为随机的并赋予一个先验分布.作为分布函数的分布,Dirichlet过程是目前非参数贝叶斯分析中最受欢迎的先验分布,并受到广泛的关注.本文对近几十年来Dirichlet过程的发展作了一下回顾和总结,并就Dirichlet过程在潜变量模型中的应用做了介绍.
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
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2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
A DIFFERENT CONSTRUCTION OF GAUSSIAN FIELDS FROM MARKOV CHAINS: DIRICHLET COVARIANCES UNE NOUVELLE CONSTRUCTION DE CHAMPS GAUSSIENS à PARTIR DE CHAÎNES DE MARKOV
Class gaussian markov chain the index space green's function
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2015/7/8
We study a class of Gaussian random fields with negative correlations. These fields are easy to simulate. They are defined in a natural way from a Markov chain that has the index space of ...
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Hahn polynomials two-dimensional difference equation neutral Markov chain multitype population dynamics Dirichlet eigenvector Dirichlet eigenvalue quasi-stationary distribution Yaglom limit coexistence
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2015/7/7
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sense that type has no ...
Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks
fi nite absorbing Markov process fi rst Dirichlet eigenvector path method spectral estimates denumerable absorbing birth and death process entrance boundary.
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2015/7/7
Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks。
Twisted Weyl Group Multiple Dirichlet Series: The Stable Case
Stable Case Multiple Dirichlet Series
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2015/7/6
Weyl group multiple Dirichlet series were associated with a root system Φ and a number
field F containing the n-th roots of unity by Brubaker, Bump, Chinta, Friedberg and Hoffstein [3] an...
Weyl Group Multiple Dirichlet Series I
Dirichlet Series Group
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2015/7/6
Given a root system Φ of rank r and a global field F containing the n-th
roots of unity, it is possible to define a Weyl group multiple Dirichlet series whose
coefficients are n-th ...
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
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2015/7/6
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It
is not apparent that they are equal. Either of these de nitions is purely local in that
it speci es the p-part of t...