Representations of lattice point sets : theory, algorithms, applications

Magdeburg, Univ., Fak. für Mathematik, Habil.-Schr., 2006

Difference sets from projective planes

Magdeburg, Univ., Fak. für Mathematik, Diss., 2013

Illustrative visualization of medical data sets

Magdeburg, Univ., Fak. für Informatik, Diss., 2014

Illustrative visualization of medical data sets

Magdeburg, Univ., Fak. für Informatik, Diss., 2014

Catalogue of type and referred specimens of fossil Echinozoa (Echinoidea and Cyclocystoidea) in Field Museum of Natural History / [by] Julia Golden -- and Matthew H. Nitecki --.

v.20:no.2(1970)

Catalogue of type and referred specimens of fossil Stelleroidea in Field Museum of Natural History / [by] Julia Golden -- and Matthew H. Nitecki --.

v.20:no.4(1970)

Catalogue of type and referred specimens of Echinozoa (Edrioasteroidea) in Field Museum of Natural History / [by] Julia Golden -- and Matthew H. Nitecki --.

v.20:no.3(1970)

Catalogue of type specimens of fossil brachiopods in Field Museum of Natural History / [by] Julia Golden -- and Matthew H. Nitecki --.

v.25(1972)

Catalogue of type and referred specimens of fossil crinozoa (Eocrinoidea, Paracrinoidea, and Crinoidea) in Field Museum of Natural History / [by] Julia Golden -- and Matthew H. Nitecki --. [Patricia M. Williams, -- editor.]

v.27(1972)

The millipede collections of the world / Petra Sierwald, Abigail Julia Reft.

n.s. no.103(2004)

Lipschitz harmonic capacity and Bilipschitz images of cantor sets

For bilipschitz images of Cantor sets in Rd we estimate the Lipschitz harmonic capacity and show this capacity is invariant under bilipschitz homeomorphisms.

Stochastic Choice and Consideration Sets

We model a boundedly rational agent who suffers from limited attention. The agent considers each feasible alternative with a given (unobservable) probability, the attention parameter, and then chooses the alternative that maximises a preference relation within the set of considered alternatives. We show that this random choice rule is the only one for which the impact of removing an alternative on the choice probability of any other alternative is asymmetric and menu independent. Both the preference relation and the attention parameters are identi fied uniquely by stochastic choice data.

Generating controlled image sets in cognitive neuroscience research.

The investigation of perceptual and cognitive functions with non-invasive brain imaging methods critically depends on the careful selection of stimuli for use in experiments. For example, it must be verified that any observed effects follow from the parameter of interest (e.g. semantic category) rather than other low-level physical features (e.g. luminance, or spectral properties). Otherwise, interpretation of results is confounded. Often, researchers circumvent this issue by including additional control conditions or tasks, both of which are flawed and also prolong experiments. Here, we present some new approaches for controlling classes of stimuli intended for use in cognitive neuroscience, however these methods can be readily extrapolated to other applications and stimulus modalities. Our approach is comprised of two levels. The first level aims at equalizing individual stimuli in terms of their mean luminance. Each data point in the stimulus is adjusted to a standardized value based on a standard value across the stimulus battery. The second level analyzes two populations of stimuli along their spectral properties (i.e. spatial frequency) using a dissimilarity metric that equals the root mean square of the distance between two populations of objects as a function of spatial frequency along x- and y-dimensions of the image. Randomized permutations are used to obtain a minimal value between the populations to minimize, in a completely data-driven manner, the spectral differences between image sets. While another paper in this issue applies these methods in the case of acoustic stimuli (Aeschlimann et al., Brain Topogr 2008), we illustrate this approach here in detail for complex visual stimuli.

Maximal operators and differentiation theorems for sparse sets

"Vegeu el resum a l'inici del document del fitxer adjunt."

Calderón-Zygmund capacities and Wolff potentials on Cantor sets

"Vegeu el resum a l'inici del document del fitxer adjunt."