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Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces
Variational Inequalities Improved Convergence Rates Tikhonov Regularisation Optimization and Control
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2011/9/5
Abstract: In this paper we derive higher order convergence rates in terms of the Bregman distance for Tikhonov like convex regularisation for linear operator equations on Banach spaces. The approach i...
On the convergence of Le Page series in Skohorod space
stable distribution Le Page series Skohorod space Probability
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2011/9/2
Abstract: We consider the problem of the convergence of the so-called Le Page series in the Skohorod space $\bbD^d=\bbD([0,1],\bbR^d)$ and provide a simple criterion based on the moments of the increm...
Convergence of operator-semigroups associated with generalised elliptic forms
Elliptic sesquilinear forms Semigroup convergence Gibbs semigroups Minimax principle Schatten classes
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2011/8/26
Abstract: In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form...
Adaptive boundary element methods with convergence rates
Adaptive boundary element methods convergence rates Numerical Analysis
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2011/8/24
Abstract: This paper presents adaptive boundary element methods for positive, negative, as well as zero order operator equations, together with proofs that they converge at certain rates. The converge...
The Conditions for the Convergence of Power Scaled Matrices and Applications
Convergence Iterative Method Triangular matrix Gram-Schmidt
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2013/1/30
For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of...
Convergence of repeated QND measurements and the wave function collapse
QND measurement the wave function collapse Quantum Physics
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2011/7/26
Abstract: Motivated by recent experiments on quantum trapped fields, we give a rigorous proof that repeated indirect quantum non-demolition (QND) measurements converge to the collapse of the wave func...
Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
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2011/7/28
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem
Localization Optimal Entropy Production Convergence rates the Central Limit Theorem
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2011/7/27
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem.
Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Neumann Convergence the Schrodinger equation
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2011/7/26
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Stochastic sigma-convergence and applications
Dynamical system homogenization supralgebras Stokes equations
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2011/7/27
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...
Random Sequences and Pointwise Convergence of Multiple Ergodic Averages
Ergodic averages mean convergence pointwise convergence multiple recurrence
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2011/1/18
We prove pointwise convergence, as N ! 1, for the multiple ergodic averages 1 N PN n=1 f(T nx) ·g(Sanx), where T and S are commuting measure preserving transformations,and an is a random version of th...
On meager function spaces, network character and meager convergence in topological spaces
network character meager convergent sequence meager filter meager space
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2011/1/20
For a non-isolated point x of a topological space X let nw (x) be the smallest cardinality of a family N of infinite subsets of X such that each neighborhood O(x) X of x contains a set N 2 N.
On absolute convergence of multiple Fourier integrals
Fourier integral Fourier multiplier Hardy-Steklov
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2011/2/25
New sufficient conditions for representation of a func-tion of several variables as an absolutely convergent Fourier integral are obtained in the paper.
Convergence of distributed asynchronous learning vector quantization algorithms
Convergence of distributed asynchronous vector quantization algorithms
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2011/2/25
Motivated by the problem of effectively executing clustering algo-rithms on very large data sets, we address a model for large scale dis-tributed clustering methods.
Weak Convergence of Markov Chain Monte Carlo Methods and its Application to Regular Gibbs Sampler
Ergodicity Gibbs sampler Large sample theory Markov chain
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2011/3/2
In this paper, we introduce the notion of efficiency (consistency) and examine some asymptotic properties ofMarkov chain Monte Carlo methods. We apply these results to the Gibbs sampler for independen...