Dirichlet domains for the Mostow lattices.
Dirichlet problem for degenerate elliptic complex Monge-Ampère equation.
Dirichlet problems for general Monge-Ampere equations.
Disc formulas for the weighted Siciak-Zahariuta extremal function
We prove a disc formula for the weighted Siciak-Zahariuta extremal function for an upper semicontinuous function q on an open connected subset X in ℂⁿ. This function is also known as the weighted Green function with logarithmic pole at infinity and weighted global extremal function.
Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties
We establish plurisubharmonicity of envelopes of certain classical disc functionals on locally irreducible complex spaces, thereby generalizing the corresponding results for complex manifolds. We also find new formulae expressing the Siciak-Zaharyuta extremal function of an open set in a locally irreducible affine algebraic variety as the envelope of certain disc functionals, similarly to what has been done for open sets in ℂⁿ by Lempert and by Lárusson and Sigurdsson.
Discriminant and the Lojasiewicz exponent.
Discriminant d’un germe et quotients de contact dans la résolution de
Discs in pseudoconvex domains.
Discs in the Ball Containing Given Discrete Sets.
Disks extremal with respect to interpolation constants.
We define a function μ from the set of sequences in the unit ball to R*+ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas.
Distance aux fibres d'un sous-analytique
Distance géodésique sur un sous-analytique.
Pour un ensemble sous-analytique, connexe fermé, la distance géodésique est atteinte et est uniformément équivalente, avec des constantes arbitrairement proches de 1, à une distance sous-analytique.
Distortions of a bounded domain by holomorphic mappings.
Distribution des préimages et des points périodiques d’une correspondance polynomiale
Nous construisons pour toute correspondance polynomiale d’exposant de Lojasiewicz une mesure d’équilibre . Nous montrons que est approximable par les préimages d’un point générique et que les points périodiques répulsifs sont équidistribués sur le support de . En utilisant ces résultats, nous donnons une caractérisation des ensembles d’unicité pour les polynômes.
Distribution des valeurs des fonctions analytiques multiformes
Distribution laws for integrable eigenfunctions
We determine the asymptotics of the joint eigenfunctions of the torus action on a toric Kähler variety. Such varieties are models of completely integrable systems in complex geometry. We first determine the pointwise asymptotics of the eigenfunctions, which show that they behave like Gaussians centered at the corresponding classical torus. We then show that there is a universal Gaussian scaling limit of the distribution function near its center. We also determine the limit...
Distribution of critical values of miniversal deformations of parabolic singularities.
Distribution of nodes on algebraic curves in
Given an irreducible algebraic curves in , let be the dimension of the complex vector space of all holomorphic polynomials of degree at most restricted to . Let be a nonpolar compact subset of , and for each choose points in . Finally, let be the -th Lebesgue constant of the array ; i.e., is the operator norm of the Lagrange interpolation operator acting on , where is the Lagrange interpolating polynomial for of degree at the points . Using techniques of pluripotential...
Distributional boundary values and the tempered ultra-distributions
Distributional boundary values in . III