The paper develops a method to construct one-parameter groups of automorphisms on the CAR C*-algebra with a prescribed field of KMS states.

Klaus Thomsen

We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold $M\times\mathbb{R}$, where $M$ is asymptotically flat. If the initial hypersurface $F_0\subset M\times\mathbb{R}$ is uniformly spacelike and asymptotic to $M\times\left\{s\right\}$ for some $s\in\mathbb{R}$ at infinity, we show that a mean curvature flow starting at $F_0$ exists for all times and converges uniformly to $M\times\left\{s\right\}$ as $t\to \infty$.

Klaus Kroencke Oliver Lindblad Petersen Felix Lubbe Tobias Marxen Wolfgang Maurer Wolfgang Meiser Oliver C. Schnürer Áron Szabó Boris Vertman

Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T. We describe the construction of eigenvectors of T corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry.

Klaus Fabricius Barry M. McCoy

High-quality C-doped p-type AlGaAs heterostructures with mobilities exceeding 150 000 cm$^2$/Vs are investigated by low-temperature magnetotransport experiments. We find features of the fractional quantum Hall effect as well as a highly resolved Shubnikov-de Haas oscillations at low magnetic fields. This allows us to determine the densities, effective masses and mobilities of the holes populating the spin-split subbands arising from the lack of inversion symmetry in these structures.

B. Grbic C. Ellenberger T. Ihn K. Ensslin D. Reuter A. D. Wieck

We prove Fujita's freeness conjecture for Gorenstein complexity-one $T$-varieties with rational singularities.

Klaus Altmann Nathan Ilten

This paper contains a quite detailed description of the C*-algebra arising from the transformation groupoid of a rational map of degree at least two on the Riemann sphere. The algebra is decomposed stepwise via extensions of familiar C*-algebras whose nature depend on the structure of the Julia set and the stable regions in the Fatou set, as well as on the behaviour of the critical points.

Klaus Thomsen

We obtain a description of the C*-algebras which can occur as a simple quotient of the C*-algebra of a locally injective surjection on a compact metric space of finite covering dimension.

Toke Meier Carlsen Klaus Thomsen

We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is completely determined for all strongly transitive affine maps on a torus of dimension one, two or three.

Kasper K. S. Andersen Klaus Thomsen

Asteroseismology of solar-type stars has an important part to play in the exoplanet program of the NASA Kepler Mission. Precise and accurate inferences on the stellar properties that are made possible by the seismic data allow very tight constraints to be placed on the exoplanetary systems. Here, we outline how to make an estimate of the detectability of solar-like oscillations in any given Kepler target, using rough estimates of the temperature and radius, and the Kepler apparent magnitude.

W. J. Chaplin H. Kjeldsen T. R. Bedding J. Christensen-Dalsgaard R. L. Gilliland S. D. Kawaler T. Appourchaux Y. Elsworth R. A. Garcia G. Houdek C. Karoff T. S. Metcalfe J. Molenda-Zakowicz M. J. P. F. G. Monteiro M. J. Thompson G. A. Verner N. Batalha W. J. Borucki T. M. Brown S. T. Bryson J. L. Christiansen B. D. Clarke J. M. Jenkins T. C. Klaus D. Koch D. An J. Ballot S. Basu O. Benomar A. Bonanno A. -M. Broomhall T. L. Campante E. Corsaro O. L. Creevey L. Esch N. Gai P. Gaulme S. J. Hale R. Handberg S. Hekker D. Huber S. Mathur B. Mosser R. New M. H. Pinsonneault D. Pricopi P. -O. Quirion C. Regulo I. W. Roxburgh D. Salabert D. Stello M. D. Suran

The generalized $q$-Kneser graph $K_q(n,k,t)$ for integers $k>t>0$ and $n>2k-t$ is the graph whose vertices are the $k$-dimensional subspaces of an $n$-dimensional $F_q$-vectorspace with two vertices $U_1$ and $U_2$ adjacent if and only if $\dim(U_1\cap U_2)<t$. We determine the treewidth of the generalized $q$-Kneser graphs $K_q(n,k,t)$ when $t\ge 2$ and $n$ is sufficiently large compared to $k$. The imposed bound on $n$ is a significant improvement of the previously known bound. One consequence of our results is that the treewidth of each $q$-Kneser graph $K_q(n,k,t)$ with $k>t>0$ and $n\ge 3k-t+9$ is equal to $\gauss{n}{k}-\gauss{n-t}{k-t}-1$.

Klaus Metsch