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5 papers · 1 filter
An Ehrenfeucht-Fraisse Game Approach to Collapse Results in Database Theory
Nicole Schweikardt
We present a new Ehrenfeucht-Fraisse game approach to collapse results in database theory and we show that, in principle, this approach suffices to prove every natural generic coll…
Large gaps in point-coupled periodic systems of manifolds
J. Bruening, P. Exner, V. A. Geyler
We study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the t…
Arithmetic, First-Order Logic, and Counting Quantifiers
Nicole Schweikardt
This paper gives a thorough overview of what is known about first-order logic with counting quantifiers and with arithmetic predicates. As a main theorem we show that Presburger ar…
Coulombic Phase Transitions in Dense Plasmas
Werner Ebeling, Genri Norman
We give a survey on the predictions of Coulombic phase transitions in dense plasmas (PPT) and derive several new results on the properties of these transitions. In particular we di…
Covering dimension and quasidiagonality
Eberhard Kirchberg, Wilhelm Winter
We introduce the decomposition rank, a notion of covering dimension for nuclear C^*-algebras. The decomposition rank generalizes ordinary covering dimension and has nice permanence…