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Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models
Ruijsenaars-Schneider Models Calogero-Moser
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2010/4/7
We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete model...
主要考虑用Legendre tau方法求解二维Poisson方程的Dirichlet问题.通过选取带有广义Jacobi权的函数作为检验函数,得到Legendre tau方法对于二维Poisson方程Dirichlet问题的H1模的最优误差估计;然后,通过对偶技巧,得到L2模的最优误差估计;最后,通过数值算例，进一步比较说明理论分析的结果.
根据对流扩散传质滞后的恒稳电极过程中边界层的物理图像, 提出了该类电极过程的简化随机模型, 建立了相应的浓度极化的随机热力学理论, 揭示了非Nernst浓度极化来自于随电流密度增大电极化学反应体系涨落分布的非Poisson化与对中心极限律的偏离, 进一步阐明了与滞后的扩散步骤共存的对流传质对非Nernst浓度极化的效应及其规律. 同时, 给出了对流引起的非Nernst浓度极化的随机热力学算例.
对索赔到达为复合Poisson-Geometric过程的风险模型进行了推广, 研究了带有干扰条件下保单到达为参数α的Poisson过程,运用鞅论的方法得出了多险种风险模型下破产概率满足的Lundberg不等式和一般公式。
Poisson型元件串并联系统和并串联系统的可靠性置信下限
Poisson分布 可靠性 串并联系统 并串联系统 Fiducial置信下限
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2009/11/9
运用Poisson分布的累积函数与不完全伽玛函数之间的关系，给出了Poisson型元件组成的串并联系统和并串联系统的可靠性表达式，然后根据Poisson型元件的样本数据求出未知参数的Fiducial分布，进而得到这两种系统可靠性Fiducial置信下限的计算公式，最后通过数值模拟验证了结论．
Poisson型元件串并联系统和并串联系统的可靠性置信下限
Poisson分布 可靠性 串并联系统 并串联系统 Fiducial置信下限
<
2009/11/3
运用Poisson分布的累积函数与不完全伽玛函数之间的关系，给出了Poisson型元件组成的串并联系统和并串联系统的可靠性表达式，然后根据Poisson型元件的样本数据求出未知参数的Fiducial分布，进而得到这两种系统可靠性Fiducial置信下限的计算公式，最后通过数值模拟验证了结论．
等熵可压Navier-Stokes-Poisson方程局部强解适定性
局部强解 Navier-Stokes-Poisson方程 存在性 唯一性 稳定性
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2009/10/21
该文得到了三维情形等熵可压Navier-Stokes-Poisson方程局部强解的存在性、唯一性及稳定性. 重要的是,该文允许初始密度真空的存在. 首先用推广形式的Gronwall不等式得到了强解的局部存在性,然后得到了较弱条件下的唯一性,在证明唯一性的同时得到了稳定性.
Empirical processes, Vapnik-Chervonenkis classes and Poisson processes
Empirical processes Vapnik-Chervonenkis classes Poisson processes
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2009/9/24
Empirical processes, Vapnik-Chervonenkis classes and Poisson processes。
On multiple Poisson stochastic integrals and associated Markov semigroups
multiple Poisson stochastic integrals associated Markov semigroups
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2009/9/24
On multiple Poisson stochastic integrals and associated Markov semigroups。
Efficient sequential plans for nonhomogeneous Poisson process
Efficient sequential plans nonhomogeneous Poisson process
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2009/9/24
Efficient sequential plans for nonhomogeneous Poisson process。
On generalized Poisson distributions
generalized Poisson distributions a probability measure
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2009/9/22
In this paper, we show that, for Q > 0 and A in [0, 11,
the measure y defined on nonnegative integers by
defines a probability distribution (called Generalized Poisson Distribution
and abbreviated ...
Asymptotic behavior for the surviving Brownian motion on the Sierpiński gasket with Poisson obstacles
Asymptotic behavior the surviving Brownian motion the Sierpiński gasket with Poisson obstacles
<
2009/9/22
A Brownian motion on the Sierpiriski gasket gets
absorbed at the boundary of a cloud of balls with centers distributed
according to an independent Poisson law. The aim of this paper is to
investiga...
On some connections between random partitions of the unit segment and the Poisson process
some connections random partitions of the unit segment the Poisson process
<
2009/9/22
Let D, be the diameter of a partition of the interval [0, t]
by renewal moments of a standard Poisson process. Then DJln t + 1 for
t + co, in probability. Other theorems on diameters are obtained. J...
Estimates for the Poisson kernels on homogeneous manifolds of negative curvature and the boundary Harnack inequality in the noncoercive case
Estimates for the Poisson kernels homogeneous manifolds negative curvature the boundary Harnack inequality
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2009/9/21
Using a probabilistic technique we obtain upper and
lower estimates for the Poisson kernels of the second order diflerential
operators on a homogeneous manifold of negative curvature. Our
results i...
Layering of the Poisson process in the quadrant
Planar Poisson process kth layer process modified Bessel function
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2009/9/21
We csnsider the hereasing sequenm af non-interngetirng
monotone decreasing srg prommes Y: (F}, n = 1, 2, . . , (t > 01,
whose jump points mver all the points of the h~mogencous rate 1
Poisson proam...