Now showing items 20-29 of 29

• #### On the Gauss Algebra of Toric Algebras ﻿

[OWP-2018-07] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)
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 Invariants of the Cohomology of Complements of Coxeter Arrangements ﻿

[OWP-2018-21] (Mathematisches Forschungsinstitut Oberwolfach, 2018-10-22)
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 ...
• #### An Optimal Bound for the Ratio Between Ordinary and Uniform Exponents of Diophantine Approximation ﻿

[OWP-2018-15] (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-09)
We provide a lower bound for the ratio between the ordinary and uniform exponents of both simultaneous Diophantine approximation to n real numbers and Diophantine approximation for one linear form in n variables. This ...
• #### Real Analyticity is Concentrated in Dimension 2 ﻿

[OWP-2018-23] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-05)
We prove that a real-valued function on a real analytic manifold is analytic whenever all its restrictions to $2$-dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ...
• #### Some Results Related to Schiffer's Problem ﻿

[OWP-2018-18] (Mathematisches Forschungsinstitut Oberwolfach, 2018-08-16)
We consider the following semilinear overdetermined problem on a two dimensional bounded or unbounded domain $\Omega$ with analytic boundary $\partial\Omega$ having at least one bounded connected component \begin{eqnarray*} ...
• #### Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D ﻿

[OWP-2018-27] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-17)
The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. In a forthcoming work [9] this task was ...
• #### Sur le Minimum de la Fonction de Brjuno ﻿

[OWP-2018-26] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-11)
The Brjuno function attains a strict global minimum at the golden section.
• #### The Sylow Structure of Scalar Automorphism Groups ﻿

[OWP-2018-05] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-22)
For any locally compact abelian periodic group A its automorphism group contains as a subgroup those automorphisms that leave invariant every closed subgroup of A, to be denoted by SAut(A). This subgroup is again a locally ...
• #### The Tutte Polynomial of Ideal Arrangements ﻿

[OWP-2018-28] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-21)
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 ...
• #### A Well-Posedness Result for Viscous Compressible Fluids with Only Bounded Density ﻿

[OWP-2018-10] (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-28)
We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocity has slightly sub-critical regularity and ...