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On the Directionally Newtonnondegenerate Singularities of Complex Hypersurfaces
[OWP200816] (Mathematisches Forschungsinstitut Oberwolfach, 2008)We introduce a minimal generalization of Newtonnondegenerate singularities of hypersurfaces. Roughly speaking, an isolated hypersurface singularity is called directionally Newtonnondegenerate if the local embedded ... 
On the distribution of a second class particle in the asymmetric simple exclusion process
[OWP200922] (Mathematisches Forschungsinstitut Oberwolfach, 20090315)We give an exact expression for the distribution of the position $X(t)$ of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin ... 
On the Gauss Algebra of Toric Algebras
[OWP201807] (Mathematisches Forschungsinstitut Oberwolfach, 20180425)Let $A$ be a $K$subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$, generated by finitely many monomials of degree $r$. Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of ... 
On the geometry of regular maps from a quasiprojective surface to a curve
[OWP201303] (Mathematisches Forschungsinstitut Oberwolfach, 20130314)We explore consequences of the triviality of the monodromy group, using the condition of purity of the mixed Hodge structure on the cohomology of the surface X. 
On the geometry of the space of fibrations
[OWP200915] (Mathematisches Forschungsinstitut Oberwolfach, 20090309)We study geometrical aspects of the space of fibrations between two given manifolds $M$ and $B$, from the point of view of Fréchet geometry. As a first result, we show that any connected component of this space is the ... 
On the Invariants of the Cohomology of Complements of Coxeter Arrangements
[OWP201821] (Mathematisches Forschungsinstitut Oberwolfach, 20181022)We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit ... 
On the L2 Markov Inequality with Laguerre Weight
[OWP201615] (Mathematisches Forschungsinstitut Oberwolfach, 20160817) 
On the Lie Algebra Structure of $HH^1(A)$ of a FiniteDimensional Algebra A
[OWP201910] (Mathematisches Forschungsinstitut Oberwolfach, 20190417)Let $A$ be a split finitedimensional associative unital algebra over a field. The first main result of this note shows that if the Extquiver of $A$ is a simple directed graph, then $HH^1(A)$ is a solvable Lie algebra. ... 
On the Markov inequality in the $L_2$norm with the Gegenbauer weight
[OWP201705] (Mathematisches Forschungsinstitut Oberwolfach, 20170222)Let $w_{\lambda}(t) := (1t^2)^{\lambda1/2}$, where ${\lambda} > \frac{1}{2}$, be the Gegenbauer weight function, let $\\cdot\_{w_{\lambda}}$ be the associated $L_2$norm, $$ f\_{w_{\lambda}} = \left\{\int_{1}^1 ... 
On the nonanalyticity locus of an arcanalytic function
[OWP200903] (Mathematisches Forschungsinstitut Oberwolfach, 20090221)A function is called arcanalytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arcanalytic functions that are not real analytic. Arc analytic functions appear ... 
On the prediction of stationary functional time series
[OWP201406] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of firstorder functional autoregressive processes because of their ... 
On the δ=const Collisions of Singularities of Complex Plane Curves
[OWP200815] (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 equinormalizable or ... 
On Unipotent Radicals of PseudoReductive Groups
[OWP201712] (Mathematisches Forschungsinstitut Oberwolfach, 20170427)We establish some results on the structure of the geometric unipotent radicals of pseudoreductive kgroups. In particular, let $k'$ be a purely inseparable field extension of k of degree $p^e$ and let $G$ denote the ... 
On VietorisRips Complexes of Ellipses
[OWP201711] (Mathematisches Forschungsinstitut Oberwolfach, 20170425)For $X$ a metric space and $r > 0$ a scale parameter, the Vietoris–Rips complex $VR_<(X; r)$ (resp. $VR_≤(X; r)$) has $X$ as its vertex set, and a finite subset $\sigma \subseteq X$ as a simplex whenever the diameter of ... 
On Weak Weighted Estimates of Martingale Transform
[OWP201622] (Mathematisches Forschungsinstitut Oberwolfach, 20161112)We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture, which stayed open after MuckenhouptWheeden's conjecture was disproved by RegueraThiele. 
1113  Operator Algebras and Representation Theory: Frames, Wavelets and Fractals
[OWR201117] (2011)  (27 Mar  02 Apr 2011)The central focus of the workshop was KadisonSinger conjecture and its connection to operator algebras, harmonic analysis, representation theory and the theory of fractals. The program was intrinsically interdisciplinary ... 
1044a  Operator Theory and Harmonic Analysis
[OWR201049] (2010)  (31 Oct  06 Nov 2010)The major topics discussed in this workshop were the Feichtinger conjecture and related questions of harmonic analysis, the corona problem for the ball Bn, the weighted approximation problem, and questions related to the ... 
Operator theory and the singular value decomposition
[SNAP2014009EN] (Mathematisches Forschungsinstitut Oberwolfach, 2014)This is a snapshot about operator theory and one of its fundamental tools: the singular value decomposition (SVD). The SVD breaks up linear transformations into simpler mappings, thus unveiling their geometric properties. ... 
1234a  Optimal and Near Optimal Configurations on Lattices and Manifolds
[OWR201240] (2012)  (19 Aug  25 Aug 2012)Optimal configurations of points arise in many contexts, for example classical ground states for interacting particle systems, Euclidean packings of convex bodies, as well as minimal discrete and continuous energy problems ...