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Exponential growth of norms in semigroups of linear automorphisms and Hausdorff dimension of self-projective IFS
Exponential growth of norms semigroups of linear automorphisms Hausdorff dimension self-projective IFS Dynamical Systems
2012/4/17
Given a finitely generated semigroup S of the (normed) set of linear maps of a vector space V into itself, we find sufficient conditions for the exponential growth of the number N(k) of elements of th...
The geometry of elation groups of a finite projective space
geometry elation groups finite projective space
2012/2/29
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups ...
Modified projective synchronization of fractional-order chaotic systems with different dimensions
Modified projective synchronization Fractional-order chaotic systems Laplace transformation
2011/10/18
In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are ...
Extremal Kahler metrics and energy functionals on projective bundles
Extremal Kahler metrics energy functionals projective bundles
2011/9/21
Abstract: In this paper, we prove the equivalence of the existence of extremal Kahler metrics and the properness of the modified K energy on projective bundles. Moreover, we discuss the relations of t...
Projective Hulls and Characterizations of Meromorphic Functions
Projective Hulls Maximum Principle Pluripotential Theory
2011/9/16
Abstract: We give conditions characterizing holomorphic and meromorphic functions in the unit disk of the complex plane in terms of certain weak forms of the maximum principle. Our work is directly in...
Differential Chow Form for Projective Differential Variety
Differential Chow form differentially homogenous prime differential ideal projective differential variety intersection theory
2011/9/13
Abstract: In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dim...
Index character associated to the projective Dirac operator
twisted index theory Clifford module K-Theory and Homology Differential Geometry
2011/9/9
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...
The Kahler-Ricci flow on projective bundles
The Kahler-Ricci flow projective bundles Differential Geometry
2011/9/1
Abstract: We study the behaviour of the K\"ahler-Ricci flow on projective bundles. We show that if the initial metric is in a suitable K\"ahler class, then the fibers collapse in finite time and the m...
One dimensional Convolutional Goppa Codes over the projective line
One dimensional Convolutional Goppa Codes the projective line Information Theory
2011/9/1
Abstract: We give a general method to construct MDS one-dimensional convolutional codes. Our method generalizes previous constructions of H. Gluesing-Luerssen and B. Langfeld. Moreover we give a class...
A survey on hyperbolicity of projective hypersurfaces
hyperbolicity of projective hypersurfaces Algebraic Geometry Complex Variables
2011/8/26
Abstract: These are lecture notes of a course held at IMPA, Rio de Janiero, in september 2010: the purpose was to present recent results on Kobayashi hyperbolicity in complex geometry. Our ultimate go...
Finite Projective Geometry based Fast, Conflict-free Parallel Matrix Computations
Distributed Computing Parallel Algorithms Parallel Processing
2011/9/29
Abstract: Matrix computations, especially iterative PDE solving (and the sparse matrix vector multiplication subproblem within) using conjugate gradient algorithm, and LU/Cholesky decomposition for so...
The Construction of Numerically Calabi-Yau Orders on Projective Surfaces
Rings and Algebras Algebraic Geometry Numerically Calabi-Yau Orders Projective Surfaces
2011/8/25
Abstract: In this paper, we construct a vast collection of maximal numerically Calabi-Yau orders utilising a noncommutative analogue of the well-known commutative cyclic covering trick. Such orders pl...
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...
The symplectic topology of projective manifolds with small dual
The symplectic topology projective manifolds small dual Algebraic Geometry
2011/8/22
Abstract: We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyperplane clas...
Optimal Folding of Data Flow Graphs based on Finite Projective Geometry using Lattice Embedding
Projective Geometry Parallel Scheduling Semi-parallel Architecture
2011/9/29
Abstract: A number of computations exist, especially in area of error-control coding and matrix computations, whose underlying data flow graphs are based on finite projective-geometry(PG) based balanc...