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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
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...
For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parametrization of the set of conjugacy classes of boundary-unipotent representations of π1(M)
into SL(n, C). Our param...
We define an extended Bloch group for an arbitrary field F, and
show that this group is naturally isomorphic to Kind
3
(F) if F is a number
field. This gives an explicit descript...
Full likelihood inferences in the Cox model:an empirical likelihood approach
Right censored data Empirical likelihood Maximum likelihood estimator Partial likelihood Profile likelihood
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
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
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
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
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 ...
Towards self-organization of decaying surface corrugations: A numerical study
A numerical study self-organization
2015/12/11
We study numerically the interplay of surface topography and kinetics in the relaxation of crystal
surface corrugations below roughening in two independent space dimensions. The kinetic processes
ar...
PRECONDITIONING TECHNIQUES IN FRAME THEORY AND PROBABILISTIC FRAMES
Parseval frame Scalable frame Fritz John Theorem Probabilistic frames frame potential continuous frames
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
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
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,...
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...
FRAME POTENTIAL AND FINITE ABELIAN GROUPS
tight frame frame potential finite abelian group sampling
2015/12/10
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...