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The Norwegian type-anaphor det

This paper gives a description of the Norwegian type anaphor det ('that') and proposes a formal representation of it in the HPSG framework. This identity-of-sense anaphor is interpreted as referring to a (new) set of entities of the same type as its antecedent. Its antecedent has to be either indefinite or a definite NP that is likely to introduce a brand new discourse referent. Whereas the typ...

Det-extremal cubic bipartite graphs

Let G be a connected k–regular bipartite graph with bipartition V (G) = X ∪Y and adjacency matrix A. We say G is det–extremal if per(A) = |det(A)|. Det–extremal k–regular bipartite graphs exist only for k = 2 or 3. McCuaig has characterized the det–extremal 3–connected cubic bipartite graphs. We extend McCuaig’s result by determining the structure of det–extremal cubic bipartite graphs of conne...

MSKWM2011 - Motivationale, soziale und kulturelle Aspekte im Wissensmanagement

Det-Det Correlations for Quantum Maps: Dual Pair and Saddle-Point Analyses

An attempt is made to clarify the ballistic non–linear sigma model formalism recently proposed for quantum chaotic systems, by looking at the spectral determinant Z(s) = Det(1− sU) for quantized maps U ∈ U(N), and studying the correlator ωU (s) = ∫ dθ |Z(eiθs)|2. By identifying U(N) as one member of a dual pair acting in the spinor representation of Spin(4N), the expansion of ωU (s) in powers o...