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Eigenvalues of products of unitary matrices and Lagrangian involutions
Unitary representations Parabolic bundles Lagrangian involutions
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2015/12/17
This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a puncturedsphere with fixedlocal monodromy. The submanifoldis definedvia products of inv...
ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
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2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
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2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
ON THE BRILL-NOETHER PROBLEM FOR VECTOR BUNDLES
BRILL-NOETHER PROBLEM VECTOR BUNDLES
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2015/12/17
On an arbitrary compact Riemann surface, necessary and sufficient conditions are found for the existence of semistable vector bundles with slope between zero and one and a prescribed number of linearl...
On the blow-up set of the Yang–Mills flow on Kahler surfaces
blow-up set Yang–Mills flow Kahler surfaces
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2015/12/17
The Yang–Mills flow on a Kahler surface with holomorphic initial data converges smoothly away from a singular set determined by the Harder–Narasimhan–Seshadri filtration of the initial holomorphic bun...
Full likelihood inferences in the Cox model:an empirical likelihood approach
Right censored data Empirical likelihood Maximum likelihood estimator Partial likelihood Profile likelihood
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2015/12/11
For the regression parameter β0 in the Cox model, there have been several estimators constructed based on various types of approximated likelihood, but none of them has demonstrated small-sample advan...
Estimation and goodness-of-fit for the Cox model with various types of censored data
Bivariate right censored data Bivariate data under univariate right censoring Bootstrap Doubly censored data Empirical likelihood Goodness-of-fit Partly interval-censored data
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2015/12/11
The currently existing estimation methods and goodness-of-fit tests for the Cox model mainly deal with right censored data, but they do not have direct extension to other complicated types of censored...
Spatial autoregression model:strong consistency
Spatial autoregression Unit roots Two-parameter martingale
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2015/12/11
Let ( ˆ n; ˆn) denote the Gauss–Newton estimator of the parameter (; ) in the autoregression model Zij = Zi−1; j + Zi; j−1 − Zi−1; j−1 + ij. It is sho...
Second Order Hadamard Differentiability in Statistical Applications
Cramer-von Mises statistic goodness of fit test Hadamard differentiability limiting distribution linear models M-estimator statistical functionals uniform asymptotic linearity weighted empirical processes
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2015/12/11
A formulation of the second-order Hadamard differentiability of (extended) statistical functionals and some related theoretical results are established. These results are applied to derive the limitin...
L-estimators and m-estimators for doubly censored data
Asymptotic normality asymptotic variance Fredholm integral equation Hadamard differentiability self-consistent estimator strong consistency
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2015/12/11
Motivated by estimation and testing with doubly censored data, we study (robust) Lestimators and M-estimators based on such data. These estimators are given through functionals of the self-consistent ...
PRECONDITIONING TECHNIQUES IN FRAME THEORY AND PROBABILISTIC FRAMES
Parseval frame Scalable frame Fritz John Theorem Probabilistic frames frame potential continuous frames
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2015/12/10
In this chapter we survey two topics that have recently been investigated in frame theory. First, we give an overview of the class of scalable frames.These are (finite) frames with the property that e...
BILINEAR PSEUDODIFFERENTIAL OPERATORS ON MODULATION SPACES
Bilinear operators Gabor frames modulation spaces moderate weights pseudodifferential operators sequence spaces short-time Fourier transform time-frequency analysis weighted spaces
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2015/12/10
We use the theory of Gabor frames to prove the boundedness of bilinear pseudodifferentialoperators on products of modulation spaces. In particular,we show that bilinear pseudodifferential operators co...
UNIMODULAR FOURIER MULTIPLIERS FOR MODULATION SPACES
Fourier multiplier modulation space short-time Fourier transform Schrodinger equation wave equation conservation of energy
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2015/12/10
We investigate the boundedness of unimodular Fourier multipliers on modulation spaces. Surprisingly, the multipliers with general symbol ei|ξ|α, where α ∈ [0, 2], are bounded on all modulation spaces,...
Preconditioning of Frames
Scalable frames tight frames preconditioning
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2015/12/10
The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight...
A BEURLING-HELSON TYPE THEOREM FOR MODULATION SPACES
Beurling-Helson theorem changes of variables Feichtinger algebra Fourier multipliers modulation spaces Sjostrand algebra
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2015/12/10
We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only C1 changes of variables that leave invariant themodulation spaces Mp,q(Rd) are affine functions on R...