Browsing by MFO Scientific Program "OWLF 2017"
Now showing items 17 of 7

A Deformed Quon Algebra
[OWP201811] (Mathematisches Forschungsinstitut Oberwolfach, 20180625)The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and ... 
A McKay Correspondence for Reflection Groups
[OWP201814] (Mathematisches Forschungsinstitut Oberwolfach, 20180702)We construct a noncommutative desingularization of the discriminant of a finite reflection group $G$ as a quotient of the skew group ring $A=S*G$. If $G$ is generated by order two reflections, then this quotient identifies ... 
MOSES: A Streaming Algorithm for Linear Dimensionality Reduction
[OWP201812] (Mathematisches Forschungsinstitut Oberwolfach, 20180626)This paper introduces Memorylimited Online Subspace Estimation Scheme (MOSES) for both estimating the principal components of data and reducing its dimension. More specifically, consider a scenario where the data vectors ... 
On a Cheeger Type Inequality in Cayley Graphs of Finite Groups
[OWP201920] (Mathematisches Forschungsinstitut Oberwolfach, 20190722)  (7 July  7 October 2017)Let $G$ be a finite group. It was remarked by BreuillardGreenGuralnickTao that if the Cayley graph $C(G,S)$ is an expander graph and is nonbipartite then the spectrum of the adjacency operator $T$ is bounded away from ... 
The Tutte Polynomial of Ideal Arrangements
[OWP201828] (Mathematisches Forschungsinstitut Oberwolfach, 20181221)The Tutte polynomial is originally a bivariate polynomial enumerating the colorings of a graph and of its dual graph. But it reveals more of the internal structure of the graph like its number of forests, of spanning ... 
The Varchenko Determinant of a Coxeter Arrangement
[OWP201733] (Mathematisches Forschungsinstitut Oberwolfach, 20171124)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 ... 
A WellPosedness Result for Viscous Compressible Fluids with Only Bounded Density
[OWP201810] (Mathematisches Forschungsinstitut Oberwolfach, 20180528)We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible NavierStokes equations. Assuming that the initial velocity has slightly subcritical regularity and ...