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SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder
spectrum the periodic Schrö dinger operator layer smooth cylinder
2010/11/11
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
Backfitting and smooth backfitting for additive quantile models
additive quantile models math
2010/11/18
In this paper, we study the ordinary backfitting and smooth backfitting as methods of fitting additive quantile models. We show that these backfitting quantile estimators are asymptotically equivalen...
Finding Discontinuities of Piecewise-smooth Functions
Inequalities Stable differentiation Noisy data Discontinuities Jumps Signal processing Edge detection
2008/7/1
Formulas for stable differentiation of piecewise-smooth functions are given. The data are noisy values of these functions. The locations of discontinuity points and the sizes of the jumps across these...
Generalized Co-Complementarity Problems in $p$-Uniformly Smooth Banach Spaces
Generalized co-complementarity problems Iterative algorithm Sunny retraction Sunny nonexpansive mapping $p$-strongly accretive $p$-relaxed accretive mapping Lipschitzian mapping Hausdorff metric $p$-uniformly smooth Banach spaces
2008/7/1
The objective of this paper is to study the iterative solutions of a class of generalized co-complementarity problems in p-uniformly smooth Banach spaces, with the devotion of sunny retraction mapping...
On Moduli of Expansion of the Duality Mapping of Smooth Banach Spaces
Uniformly convex (smooth) Banach space Angle of modulus convexity (smoothness) Lower (upper) modulus of expansion
2008/6/27
Let X be a Banach space which is uniformly convex and uniformly smooth. We introduce the lower and upper moduli of expansion of the dual mapping J of the space X. Some estimation of certain well-known...
Quasi Sure Product Variation of two Parameter Smooth Martingales on the Wiener Space
quasi-sure $\infty$-modification smooth martingale product variation Kolmogorov's criterion
2007/12/12
In this paper, we prove that the process of product variation of a two-parameter smooth martingale admits an $\infty$ modification, which can be constructed as the quasi-sure limit of sum of the corre...
GLOBAL SMOOTH RESOLVABILITY FOR A MODEL EQUATIONS OF FLUID FLOW IN A PIPE
Global smooth resolvability
2007/12/11
In this article the author considers the Cauchy problem for a model equations of fluid flow in a pipe, and under certain hypotheses on the initial data, the global smooth resolvability and the blow-up...