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A fast alternating projection method for complex frequency estimation
complex frequency estimation Numerical Analysis
2011/9/1
Abstract: The problem of approximating a sampled function using sums of a fixed number of complex exponentials is considered. We use alternating projections between fixed rank matrices and Hankel matr...
Complex Equiangular Tight Frames and Erasures
Equiangular Tight Frames Seidel Matrix Functional Analysis
2011/9/2
Abstract: In this paper we demonstrate that there are distinct differences between real and complex equiangular tight frames (ETFs) with regards to erasures. For example, we prove that there exist arb...
Homotopy categories and idempotent completeness, weight structures and weight complex functors
Homotopy category idempotent completeness weight structure w-structure weight complex functor
2011/8/26
Abstract: This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A)^- and K(...
Special Lagrangian 4-folds with $SO(2)\rtimes S_3$-Symmetry in Complex Space Forms
Lagrangian 4-folds Complex Space Forms Differential Geometry
2011/8/25
Abstract: In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic s...
Homogeneous polar foliations of complex hyperbolic spaces
Polar actions, homogeneous foliations, complex hyperbolic space
2011/8/25
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliatio...
Stability of extremal metrics under complex deformations
extremal metrics complex deformations Differential Geometry
2011/8/24
Abstract: Let $(\mathcal {X},\Omega)$ be a closed polarized complex manifold, $g$ be an extremal metric on $\mathcal X$ that represents the K\"ahler class $\Omega$, and $G$ be a compact connected subg...
A Bloch-Wigner complex for SL_2
K-theory Group Homology K-Theory and Homology Bloch-Wigner complex
2011/8/23
Abstract: We introduce a refinement of the Bloch-Wigner complex of a field F. This is a complex of modules over the multiplicative group of the field. Instead of computing K_2 and indecomposable K_3 -...
Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we st...
Assessing the consistency of community structure in complex networks
complex networks community structure consistency Assessing
2011/7/6
In recent years, community structure has emerged as a key component of complex network analysis. As more data has been collected, researchers have begun investigating changing community structure acro...
Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces
Moebius structures Ptolemy spaces boundary at infinity of complex hyperbolic spaces
2011/1/19
The paper initiates a systematic study of M¨obius structures and Ptolemy spaces. We conjecture that every compact Ptolemy space with circles and many space inversions is M¨obius equivalent to the boun...
The 2-group of symmetries of a split chain complex
2-group of symmetries split chain complex
2011/1/19
We explicitly compute the 2-group of self-equivalences and (homotopy classes of) chain homotopies between them for any split chain complex A• in an arbitrary K-linear abelian category (K any com...
Complex structures on product of circle bundles over complex manifolds
Complex structures product of circle bundles complex manifolds
2011/1/17
Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Complex space form CR submanifold of maximal CR dimension
2011/2/28
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field is recurrent if there exists a 1-form v such that ∇A = A X...
Matrix operators for complex interferometer analysis
matrix multiplication fiber optic sensors gyroscopes integrated optics
2011/1/14
A modeling methodology and matrix formalism is presented that permits analysis of arbitrarily complex interferometric waveguide systems, including polarization and backreflection effects.
On tangential cohomology attached to a function on complex foliations
complex foliations cohomology
2011/1/18
In this note we study a new cohomology attached to a function along the leaves of complex foliations. We also explain how this cohomology depends on the function and we study a relative cohomology and...