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The Spinor Representation of Minimal Surfaces
Screw die space the projective plane the average curvature functions
2014/12/29
The spinor representation is developed and used to investigate minimal surfaces in R^3 with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes are deter...
Geometric representation theory of restricted lie algebras
Map building lie algebra and classical lie algebras tectonic change lines etc
2014/12/29
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
EXTERIOR POWERS OF THE REFLECTION REPRESENTATION IN SPRINGER THEORY
Power reflection fiber nilpotent green's function
2014/12/24
We give a proof of a conjecture of Lehrer and Shoji regarding the occurrences of the exterior powers of the reflection representation in the cohomology of Springer fibers. The actual theorem proved is...
A Novel Exact Representation of Stationary Colored Gaussian Processes (Fractional Differential Approach)
Digital Filtering Filtered White Noises Power Spectral Density Fractional Brownian Motion Fractional Stochastic Differential Equation Fractional Spectral Moments
2013/4/28
A novel representation of functions, called generalized Taylor form, is applied to the filtering of white noise processes. It is shown that every Gaussian colored noise can be expressed as the output ...
Learning Stable Multilevel Dictionaries for Sparse Representation of Images
Learning Stable Multilevel Dictionaries Sparse Representation Images
2013/4/28
Dictionaries adapted to the data provide superior performance when compared to predefined dictionaries in applications involving sparse representations. Algorithmic stability and generalization are de...
Discriminative Sparse Coding on Multi-Manifold for Data Representation and Classification
Discriminative Sparse Coding Multi-Manifold for Data Representation Classification
2012/9/18
Sparse coding has been popularly used as an effective data represen-tation method in various applications, such as computer vision, medical imaging and bioinformatics, etc. However, the conventional s...
Copula representation of bivariate L-moments : A new estimation method for multiparameter 2-dimentional copula models
Copulas Dependence Multivariate L-moments Parametric estimation
2011/7/5
Recently, Serfling and Xiao (2007) extended the L-moment theory (Hosking, 1990) to the multivariate setting.
Uniform bias study and Bahadur representation for local polynomial estimators of the conditional quantile function
Bahadur representation Conditional quantile function Local polynomial estimation Econometrics of Auctions
2011/6/20
This paper investigates the bias and the weak Bahadur representation of a local
polynomial estimator of the conditional quantile function and its derivatives.
The bias and Bahadur remainder term are...
Semiparametric Latent Variable Models for Guided Representation
Variable Models Semiparametric Latent Guided
2011/3/18
Unsupervised discovery of latent representations, in addition to being useful for density modeling, visualisation and exploratory data analysis, is also increasingly important for learning features re...
A representation of distributions from certain classes L(s)
A representation of distributions certain classes L(s)
2009/9/24
A representation of distributions from certain classes L(s)。
Representation theorem for multiply self-decomposable probability measures on generalized convolution algebra
Representation theorem multiply self-decomposable probability measures
2009/9/24
Representation theorem for multiply self-decomposable probability measures on generalized convolution algebra。
Bahadur's representation of sample quantiles based on smoothed estimates of a distribution function
Bahadur's representation of sample quantiles smoothed estimates of a distribution function
2009/9/24
Bahadur's representation of sample quantiles based on smoothed estimates of a distribution function。
It is shown that every random closed set X in Rd,
taking its realizations in the extended convex ring, is (up to equivalence)
the union set of a po'int process Y of convex particles with the
same i...
Integral representation in the set of transition kernels
Integral representation the set of transition kernels
2009/9/23
Integral representation in the set of transition kernels。
Convergence and representation theorems for set valued random processes
Convergence and representation theorems set valued random processes
2009/9/23
Convergence and representation theorems for set valued random processes。