TY  - JOUR
A1  - Bialonski, Stephan
A1  - Horstmann, Marie-Therese
A1  - Lehnertz, Klaus
T1  - From brain to earth and climate systems: Small-world interaction networks or not?
JF  - Chaos: An Interdisciplinary Journal of Nonlinear Science
N2  - We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With numerical simulations that mimic typical experimental situations, we have identified an important constraint when characterizing such networks: indications of a small-world topology can be expected solely due to the spatial sampling of the system along with the commonly used time series analysis based approaches to network characterization.
Y1  - 2010
U6  - https://doi.org/10.1063/1.3360561
SN  - 1089-7682
VL  - 20
IS  - 1
PB  - AIP Publishing
CY  - Melville, NY
ER  - 
TY  - JOUR
A1  - Stulpe, Werner
T1  - From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations
JF  - Journal of Mathematical Physics
N2  - The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered.
Y1  - 2014
U6  - https://doi.org/10.1063/1.4861939
SN  - 222-488
N1  - bereits unter gleichem Titel aufgenommen bei arxiv : http://arxiv.org/pdf/1307.2314.pdf
VL  - 55
IS  - 1
PB  - AIP Publishing
CY  - College Park, Md.
ER  -