We prove the Garden of Eden theorem for cellular automata with finite set of states and finite neighbourhood on right amenable left homogeneous spaces with finite stabilisers. It states that the global transition function of such an automaton is surjective if and only if it is preinjective. Pre-Injectivity means that two global configurations that differ at most on a finite subset and have the ...

As previous years, Dip 5 will continue with the redefinition of what was formerly known as public space, trying to reactivate the physical realm of the common, nowadays kidnapped by economic and political agents. The origin of the word paradise gets back to ancient Persia, and to the Avestian term pairi-daêza, composed by pairi, "around" and diz "to construct", literally enclosed space, that wa...

The paper investigates and compares skeleton-based Eden implementations of different FFT-algorithms on workstation clusters with distributed memory. Our experiments show that the basic divide-andconquer versions suffer from an inherent input distribution and result collection problem. Advanced approaches like calculating FFT using a parallel map-and-transpose skeleton provide more flexibility t...

s for these talks are published in the GSA Abstracts With

We review topics in the theory of cellular automata and dynamical systems that are related to the Moore-Myhill Garden of Eden theorem.

BACKGROUND Tuberculosis (TB) surveillance data are crucial to the effectiveness of National TB Control Programs. In South Africa, few surveillance system evaluations have been undertaken to provide a rigorous assessment of the platform from which the national and district health systems draws data to inform programs and policies. OBJECTIVE Evaluate the attributes of Eden District's TB surveil...

A forest simulation model (called EDEN) of eucalypt dynamics in southeastern Australia is presented to predict habitat quality for arboreal marsupials. The model is presented as a tool for testing alternative hypotheses of forest management in the study area, EDEN uses a forest gap simulation (IABOWA/FORET type) model as a pattern generator of habitat in different landscape positions and under ...