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20051107BuchQuantitative stability in stochastic programming: The method of probability metrics Quantitative stability of optimal values and solution sets to stochastic programming problems is studied when the underlying probability distribution varies in some metric space of probability measures. We give conditions ...

20051107BuchrMaximal Sets The rmaximal sets and their properties were investigated in several papers. Here it will be given a systematical presentation of all these results including also few which are still not published. In the centre of interest ...

20051021BuchRecent results in solving index 2 differentialalgebraic equations in circuit simulation In electric circuit simulation the charge oriented modified nodal analysis may lead to highly nonlinear DAEs with low smoothness properties. They may have index 2 but they do not belong to the class of Hessenberg form ...

19980504BuchReduction in Stages and Complete Quantization of the MICKepler Problem The oneparameter deformation family of the standard Kepler problem known as the MICKepler problem is completely quantized using the explicit momentum mapping of the torus actions on some toric manifolds and some equivariant ...

20050701BuchReduktions und Additionsverfahren für die Jacobische Varietät von Kurvenfamilien mit kryptischen Anwendungen In this paper we represent a reduction and addition algorithm for non hyperelliptic curves of genus 3. Our aim is to give an explicit representation of the group law in the jacobian varieties of curves belonging to the ...

19980529BuchRegular Castaing Representations of Multifunctions with Applications to Stochastic Programming We consider setvalued mappings defined on a topological space with convex closed images in $\R^n$. The measurability of a multifunction is characterized by the existence of a Castaing representation for it: a countable ...

20020325BuchRemarks on the Prehistory of Sobolev Spaces The paper gives a review on some works which led to the invention of the notion of "Sobolev space". Starting from works on the justification of the Dirichlet principle, we discuss a number of important contributions which ...

20011107BuchResidual intersection theory with reducible schemes We develop a formula (Theorem 5.1) which allows to compute top Chern classes of vector bundles on the vanishing locus V(s) of a section of this bundle. This formula particularly applies in the case when V(s) is the union ...

20051104BuchResolution of degree ≤ 6 algebraic equations by genus two theta constants We adjoin complete first kind Abelian integrals of genus two to solve the general degree six algebraic equation a 0 z 6 + a 1 z 5 + ... + a 6 = 0 by genus two theta constants. Using the same formulas, later we resolve ...

20051020BuchRestricted Tangent Bundle of Space Curves The classiffication of space curves, i.e. embeddings of compact Riemann surfaces into IP3(IC) is an old problem in algebraic geometry. In this paper the problem is studied under the point of view: What is the structure of ...

19990602BuchRestriction of stable rank two vector bundles in arbitrary characteristic Let X be a smooth variety defined over an algebraically closed field of arbitrary characteristic and H be a very ample divisor on X. We show that for a semistable Xbundle E of rank two, there exists an integer m depending ...

20111020BuchReview of AdS/CFT Integrability This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the ...

20111020BuchReview of AdS/CFT Integrability, Chapter I.2 We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis ...

20110927BuchReview of AdS/CFT Integrability, Chapter III.1 The onedimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, ...

20051104BuchScenario Reduction Algorithms in Stochastic Programming We consider convex stochastic programs with an (approximate) initial probability distribution P having finite support supp P, i.e., finitely many scenarios. Such stochastic programs behave stable with respect to perturbations ...

20051107BuchScenario Reduction in Stochastic Programming Given a convex stochastic programming problem with a discrete initial probability distribution, the problem of optimal scenario reduction is stated as follows: Determine a scenario subset of prescribed cardinality and a ...

20060802BuchScenario tree modelling for multistage stochastic programs An important issue for solving multistage stochastic programs consists in the approximate representation of the (multivariate) stochastic input process in the form of a scenario tree. In this paper, forward and backward ...

20110817BuchSimulation of a Chemical Vapor Deposition We are motivated to model chemical vapor deposition for metallic bipolar plates and optimization to deposit a homogeneous layer. Moreover a constraint to the deposition process is a very low pressure (nearly vacuum) and a ...

20051104BuchSingularities of linear timevarying DAEs Singular issues arising in linear timevarying differentialalgebraic equations are addressed in this paper. We review the use of projector methods based upon the tractability index concept for the analysis of regular ...

20050310BuchSolutions of affine stochastic functional differential equations in the state space In this article we consider solutions of affine stochastic functional differential equations. The drift of these equations is specified by a functional defined on a general function space B which is only described ...