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Longitudinal pseudodifferential operators on multiply fibred manifolds
Longitudinal pseudodifferential operators multiply fibred manifolds
2011/1/20
Motivated by index theory on flag varieties, we prove a compactness theorem for products of longitudinal pseudodifferential operators on manifolds admitting multiple fibrations. Let X be a smooth mani...
Quadrature rules and distribution of points on manifolds
Quadrature discrepancy harmonic analysis
2011/2/28
We study the error in quadrature rules on a compact manifold, XN j=1 !jf (zj) − Z
M f(x)dx ≤ cD {zj} V {f} .
On stable compact minimal submanifolds
stability minimal submanifolds product spaces spheres
2011/1/18
Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete classification of the sta...
Empirical estimation of entropy functionals with confidence
Empirical estimation of entropy functionals confidence
2011/2/23
Nonparametric estimation of functionals of density from nite number of samples is an important tool in domains such as statistics, signal processing and machine learning.While several estimators have...
Zeta functions and Bernstein-Sato polynomials for ideals in dimension two
Zeta functions Bernstein-Sato polynomials ideals dimension two
2011/2/28
For a nonzero ideal I ⊳C[x1, . . . , xn], with 0 ∈ supp I, a (general-ized) conjecture of Igusa–Denef–Loeser predicts that every pole of its topologi-cal zeta function is a root of its Bernstein...
We have dramatically extended the zero eld susceptibility series at both high and low temperature of the Ising model on the square, triangular and honeycomb lattices, and used these data to calculate...
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
Convergence of frozen Gaussian approximation for high frequency wave propagation
Convergence of frozen Gaussian high frequency wave propagation
2011/2/25
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, fo...
广义向量平衡问题的对偶
广义向量平衡问题 次微分 对偶向量平衡问题 共轭函数
2012/11/6
首先利用Fenchel共轭函数的方法引入了广义向量平衡问题的对偶问题,然后在稳定性条件的假设下,讨论了广义向量平衡问题的解与其对偶问题的解之间的关系.
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map : M → t, such that MT has exactly two
connected components, ...
Vertical versus conical square functions
Vertical square functions conical square functions extrapolation
2011/2/22
We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.
The twisting representation of the $L$-function of a curve
twisting representation $L$-function of a curve
2011/2/21
Let C be a smooth projective curve defined over a number field k and let C′ be a twist of C. For every isomorphism : C′! C defined over a finite Galois extension L/k, we introduce a rational Artin re...
Comparisons and asymptotics for empty space hazard functions of germ-grain models
germ-grain model empty space hazard rate spherical distance
2011/1/21
We study stochastic properties of the empty space for stationary germ-grain models in Rd, in particular we deal with the inner radius of the empty space with respect to a general structuring element w...
In this paper we present a simple database definition language:that of categories and functors. A database schema is a category and a state is a set-valued functor. We show that morphisms of schemas i...