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序约束下AR(2)模型参数的拟似然估计
拟似然估计 序约束 假设检验
2012/11/13
在约束条件下利用拟似然估计方法对AR(2)模型的参数进行统计推断, 研究了拟似然估计a*的相合性及渐近正态性, 并给出了AR(2)模型参数序关系的假设检验方法及模拟结果。
一个食饵有病的捕食与被捕食模型分析
平衡点 局部渐近稳定 全局渐近稳定
2012/11/14
建立一个食饵具有疾病的生态流行病模型, 讨论了该模型平衡点的存在性, 并利用特征根法对边界平衡点进行局部渐近稳定性分析, 通过构造Liapunov函数得到了两个边界平衡点的全局渐近稳定性和正平衡点的局部渐近稳定性的充分条件。
Aging through hierarchical coalescence in the East model
kinetically constrainedmodels non-equilibrium dynamics coalescence metastability
2011/2/25
We rigorously analyze the low temperature non-equilibrium dynamics of the East model, a special example of a one dimensional oriented kinetically constrained particle model, when the initial distribut...
Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
Supersymmetry Flows Semi-Symmetric Space Sine-Gordon Models Pohlmeyer Reduction
2011/3/3
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G.
A mathematical model for networks with structures in the mesoscale
mathematical model networks structures
2011/3/2
The new concept of multilevel network is introduced in order to em-body some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classic...
We construct a free fermion and matrix model representation of refined BPS generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds
without compact four-cycl...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Algebraic arctic curves in the domain-wall six-vertex model
Algebraic arctic domain-wall six-vertex model
2011/1/20
The arctic curve, i.e. the spatial curve separating ordered (or ‘frozen’) and disordered (or ‘temperate) regions, of the six-vertex model with domain wall boundary conditions is discussed for the root...
Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform
Uniform constants Hausdorff-Young inequalities Cantor group model scattering transform
2011/1/21
Analogues of Hausdorff-Young inequalities for the Dirac scattering transform (a.k.a. SU(1, 1) nonlinear Fourier transform) were first established by Christ and Kiselev [1],[2]. Later Muscalu, Tao, and...
A Fock Space Model for Addition and Multiplication of C-free Random Variables
free independence c-free independence creation/annihilation operators
2011/2/22
The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.
Dynamic risk measuring under model uncertainty: taking advantage of the hidden probability measure
Dynamic risk model uncertainty hidden probability measure
2011/2/28
We study dynamic risk measures in a very general framework enabling to model uncertainty and processes with jumps. We previously showed the existence of a canonical equivalence class of probability me...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted Spanning Forests explicit correspondence
2011/2/24
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66]. In this paper, we p...
Well posedness of an isothermal diffusive model for binary mixtures of incompressible fluids
Diffuse interface model Cahn-Hilliard-Navier-Stokes equations
2011/1/20
e consider a model describing the behavior of a mixture of two incompressible fluids with the same density in isothermal conditions. The model consists of three balance equations: continuity equation,...
A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
Uniqueness of models in persistent homology: the case of curves
Persistent Betti numbers reflections matching distance
2011/2/28
We consider generic curves in R2, i.e. generic C1 functions f : S1 → R2.We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In particular, we consider th...