Browsing by MFO Scientific Program "OWLF 2008"
Now showing items 1-8 of 8
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Alternative iterative methods for nonexpansive mappings, rates of convergence and applications
[OWP-2009-19] (Mathematisches Forschungsinstitut Oberwolfach, 2009)Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. We give rates of asymptotic ... -
Geometric quantization of integrable systems with hyperbolic singularities
[OWP-2009-01] (Mathematisches Forschungsinstitut Oberwolfach, 2009)We construct the geometric quantization of a compact surface using a singular real polarization coming from an integrable system. Such a polarization always has singularities, which we assume to be of nondegenerate type. ... -
Heisenberg-Weyl algebra revisited: combinatorics of words and paths
[OWP-2009-02] (Mathematisches Forschungsinstitut Oberwolfach, 2009)The Heisenberg–Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a ... -
Minimal Riesz energy on the sphere for axis-supported external fields
[OWP-2009-04] (Mathematisches Forschungsinstitut Oberwolfach, 2009)Abstract. We investigate the minimal Riesz $s$-energy problem for positive measures on the d-dimensional unit sphere $\mathbb{S}^d$ in the presence of an external field induced by a point charge, and more generally by ... -
On the Directionally Newton-non-degenerate Singularities of Complex Hypersurfaces
[OWP-2008-16] (Mathematisches Forschungsinstitut Oberwolfach, 2008)We introduce a minimal generalization of Newton-non-degenerate singularities of hypersurfaces. Roughly speaking, an isolated hypersurface singularity is called directionally Newton-non-degenerate if the local embedded ... -
On the δ=const Collisions of Singularities of Complex Plane Curves
[OWP-2008-15] (Mathematisches Forschungsinstitut Oberwolfach, 2008)We study a specific class of deformations of curve singularities: the case when the singular point splits to several ones, such that the total $\delta$ invariant is preserved. These are also known as equi-normalizable or ... -
Urn Models & Operator Ordering Procedures
[OWP-2008-06] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-10)Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ... -
Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval
[OWP-2008-13] (Mathematisches Forschungsinstitut Oberwolfach, 2008)The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ...