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Now showing items 21-30 of 36
Review of the Methods of Reflections
[OWP-2017-27] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-18)
The methods of reflections were invented to obtain approximate solutions of the motion of more than one particle in a given environment, provided that one can represent the solution for one particle rather easily. This ...
On the Markov inequality in the L2-norm with the Gegenbauer weight
[OWP-2017-05] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-22)
Let wλ(t):=(1−t2)λ−1/2, where λ>−12, be the Gegenbauer weight function, let ‖⋅‖wλ
be the associated L2-norm, $$
|f\|_{w_{\lambda}} = \left\{\int_{-1}^1 ...
The Index of Singular Zeros of Harmonic Mappings of Anti-Analytic Degree One
[OWP-2017-03] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-02)
We study harmonic mappings of the form f(z)=h(z)−¯z, where h is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ...
The Varchenko Determinant of a Coxeter Arrangement
[OWP-2017-33] (Mathematisches Forschungsinstitut Oberwolfach, 2017-11-24)
The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ...
Bredon Cohomology and Robot Motion Planning
[OWP-2017-34] (Mathematisches Forschungsinstitut Oberwolfach, 2017-11-29)
In this paper we study the topological invariant TC(X) reflecting the complexity of algorithms for autonomous robot motion. Here, X stands for the configuration space of a system and TC(X) is, roughly, ...
Experimenting with Zariski Dense Subgroups
[OWP-2017-31] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-28)
We give a method to describe all congruence images of a finitely generated Zariski dense group H≤SL(n,R). The method is applied to obtain efficient algorithms for solving this problem in odd prime degree ...
Some Results on Reducibility of Parabolic Induction for Classical Groups
[OWP-2017-09] (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-30)
Given a (complex, smooth) irreducible representation π of the general
linear group over a non-archimedean local field and an irreducible
supercuspidal representation σ of a classical group, we show that ...
Detecting Ineffective Features for Pattern Recognition
[OWP-2017-26] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-17)
For a binary classification problem, the hypothesis testing is studied, that a component of the observation vector is not effective, i.e., that component carries no information for the classification. We introduce nearest ...
The Pseudo-Hyperresolution and Applications
[OWP-2017-17] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-04)
Resolving objects in an abelian category by injective (projective) resolutions is a fundamental problem in mathematics, and this article aims at introducing a particular solution called “Pseudo-hyperresolutions”. This ...
Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space
[OWP-2017-18] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-17)
We study the stationary descendant Gromov–Witten theory of toric surfaces by combining and extending a range of techniques – tropical curves, floor diagrams, and Fock spaces. A correspondence theorem is established between ...