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Patterson-Sullivan distributions for symmetric spaces of the noncompact type
Patterson-Sullivan distributions symmetric spaces noncompact type
2011/1/18
There is a curious relation between two kinds of phase space distributions associated to Laplace-eigenfunctions ϕk on a compact hyperbolic manifold Y .
D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
connected sum Morse cobordism D-brane of A-type Polchinski-Grothendieck Ansatz
2011/1/17
In [L-Y5] (D(6): arXiv:1003.1178 [math.SG]) we introduced the notion of Azumaya C1-manifolds with a fundamental module and morphisms therefrom to a complex manifold. In the current sequel, we use this...
We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type X embedded by adjoint line bundles Lr = K + rB, where B is a base
point free, ample...
On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type
Finite element method Stokes equations Boundary conditions of friction type
2011/2/25
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...
On Taylor series and Kapteyn series of the first and second type
Kapteyn series Taylor series Bessel functions
2011/2/22
We study the relation between the coefficients of Taylor series and Kapteyn series representing the same function. We compute explicit formulas for expressing one in terms of the other and give exampl...
Two phase Stefan-type problem: Regularization near initial data by phase dynamics
Two phase Stefan-type problem Regularization initial data phase dynamics
2011/1/18
In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution is very...
Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions
Locally Bounded Functions Rate of Convergence Modulus of Variation
2010/2/26
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators Bn,a (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of conve...