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Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants
Caffarelli-Kohn-Nirenberg inequality Gagliardo-Nirenberg inequality loga-rithmic Hardy inequality logarithmic Sobolev inequality
2010/12/14
This contribution is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg (CKN) and weighted logarithmic Hardy (WL...
A simple model for asset price bubble formation and collapse
simple model asset price bubble formation collapse
2010/12/15
We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomen...
Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
Boltzmann equation BGK model Non-trivial collision frequency
2010/12/14
In this paper, we are interested in the Cauchy problem for the Boltzmann-BGK model for a general class of collision frequencies. We prove that the Boltzmann-BGK model linearized around a global Maxwel...
Various virtual structures on single file system
Various virtual structures single file system
2010/12/6
В статье предлагается новый подход к построению иерархической структуры файловой системы. В первой части статьи сделан обзор построения структур хранения файлов в современных операционных системах. Во...
On dependence of the implied volatility on returns for stochastic volatility models
stochastic volatility the Heston model conditional expectation of variance
2010/12/16
We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of vari...
A Bourgain type bilinear estimate for a class of water-wave models
Bourgain type bilinear estimate a class of water-wave models
2010/12/10
A Bourgain type bilinear estimate for a class of water-wave models.
Field theory of massive and massless vector particles in the Duffin-Kemmer-Petiau formalism
Field theory of massive massless vector particles Duffin-Kemmer-Petiau formalism
2010/12/16
Field theory of massive and massless vector particles is consid-ered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of non-dynamical components.
Semi-Closed Form Cubature and Applications to Financial Diffusion Models
Ninomiya–Victoir method cubature method Monte Carlo simulation
2010/12/16
Cubature methods, a powerful alternative to Monte Carlo due to Kusuoka [Adv. Math. Econ. 6, 69–83, 2004] and Lyons–Victoir [Proc. R. Soc.Lond. Ser.
Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Eigenvectors open XXZ ASEP models non-diagonal boundary conditions
2010/12/16
We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relation...
Ergodic properties of a model for turbulent dispersion of inertial particles
Ergodic properties model for turbulent dispersion of inertial particles
2010/11/30
We study a simple stochastic differential equation that models the dispersion of close heavy
particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the onedi...
Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model
Finite Gelfand pair Ehrenfest diffusion model complex reflection group
2010/12/1
A classical diffusion model of Ehrenfest which consists of 2-urns and n-balls is realized by a finite Gelfand pair (Hn, Sn), where Hn is the hyperoctahedral group and Sn is the symmetric group. This f...
洪灾经济损失评估模型研究(Ê )——间接经济损失评估
洪灾损失 评估模型 间接经济损失
2009/11/10
根据洪灾区灾后经济运行发展状况, 从综合评价角度, 提出了洪灾间接经济损失评估的方法及
数学模型。针对所研究的洪灾区, 建立了地区间投入产出表, 给出了各产业部门的投入- 产出约束、交
通运输网约束、库存约束、产品需求约束, 以及间接停减产损失、产品积压损失、投资溢价损失的计量
方法。从国民经济整体效益出发, 建立了计算洪灾间接经济损失下限的多目标优化模型。
公共危机治理中公民精神的价值与培育
公共危机治理 公民精神 公民参与 公共利益
2009/11/3
年初南方罕见的低温雨雪冰冻灾害，明显暴露了我们公民精神的缺失。公民精神内含着公共利益意识、权责意识、互信意识和宽容意识，这些意识的彰显对提高公共危机治理效能不可或缺。公民精神的培育，不仅要调整公民教育的内容体系，发挥公职人员的模范作用，而且要扩展公共生活空间，让公民在实践中知晓和培育公民精神。
一个Bottleneck问题及其算法
算法 Bottleneck问题
2009/10/23
在文[1]中,提出了下面的数学模型:模型Ⅱ.求-X=(x_1,x_2,…,x_n)满足下列约束条件 sum from j=1 to n(x_j=m)(m≥n且为整数), x_j≥1 且为整数,j=1,2,…,n,