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THE LOCUS OF HODGE CLASSES IN AN ADMISSIBLE VARIATION OF MIXED HODGE STRUCTURE
ADMISSIBLE VARIATION HODGE CLASSES
2015/9/29
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.
Fejer-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle
Fejer-Riesz factorizations the structure of bivariate polynomials orthogonal the bi-circle Complex Variables
2012/6/29
We give a complete characterization of the positive trigonometric polynomials Q(\theta,\phi) on the bi-circle, which can be factored as Q(\theta,\phi)=|p(e^{i\theta},e^{i\phi})|^2 where p(z,w) is a po...
Anomalous scaling and generic structure function in turbulence
generic structure function Anomalous scaling exponential self-similar
2011/7/7
We discuss on an example a general mechanism of apparition of anomalous scaling in scale invariant systems via zero modes of a scale invariant operator. We discuss the relevance of such mechanism in t...
Unique Structure on G-equivariant Manifolds
Lie groups Transformation groups G-equivariant maps and Invariant-functions
2010/12/14
We will have a deep look at the set of all G-equivariant maps from the factor Lie group G to the under the action manifold M, both from “computational” and “observability” viewpoint. We will also be l...
Gradient flow structure for domain relaxation in Langmuir films
Gradient flow structure domain relaxation Langmuir films
2010/11/26
We describe a gradient flow structure for the inviscid Langmuir layer Stokesian subfluid model introduced recently by Alexander et al [1].
Subordination Theorem for a Family of Analytic Functions Associated With the Convolution Structure
Analytic function Hadamard product(or convolution) Dziok-Srivastava linear operator Subordination factor sequence Characterization properties
2010/1/22
We use the familiar convolution structure of analytic functions to introduce new class of analytic functions of complex order. The results investigated in the present paper include, the characterizati...
On the Structure of Nash Equilibrium Sets in Partially Convex Games
Nash Equilibrium Partially Convex Games
2009/2/5
The paper describes the geometrical structure of Nash equilibrium sets in partially convex games without constraints. A condition characterizing a distinct class of Nash equilibrium sets is given. A c...
Argument Estimates For Certain Analytic Functions Associated With The Convolution Structure
Argument estimate Subordination Univalent function Hadamard product(or convolution) Dziok-Srivastava operator
2010/1/22
The purpose of the present paper is to investigate some argument properties for certain analytic functions in the open unit disk associated with the convolution structure. Some interesting application...