On multidimensional consistent systems of asymmetric quad-equations

Multidimensional Consistency becomes more and more important in the theory of discrete integrable systems. Recently, we gave a classification of all 3D consistent 6-tuples of equations with the tetrahedron property, where several novel asymmetric systems have been found. In the present paper we discuss higher-dimensional consistency for 3D consistent systems coming up with this classification. In addition, we will give a classification of certain 4D consistent systems of quad-equations. The results of this paper allow for a proof of the Bianchi permutability among other applications.Comment: 16 pages, 17 figure

Mind the gap!: The amount of German mothers' care bill and its game theoretical issues

This paper aims to quantify West German mothers' foregone earnings that stem from intermittent labor market participation due to first birth. As Random Effects regression results with German Socio-Economic Panel Data (West) indicate, at the closure time of their fecundity window mothers realize gross hourly wage cuts up to 25 %, compared to equally educated career women, whereas the total of annualized losses amounts to as far as 201,000 Euro. In the context of a dynamic bargaining model of household decisions, the care bill is suspected of delaying first birth or even preventing women from motherhood if divorce seems sufficiently probable. --Cooperative bargaining,wage loss,fertility decision

Interferences in laser assisted photoionization of diatomic molecules

We analyze interference effects in photoionization of H+ 2 molecular targets in laser assisted photoionization. By means of a simple model, we obtain observables for the reaction and we compare them with previous results obtained with more elaborated ones. Interestingly, previous interference effects predicted for monochromatic pulses persist in the presence of a laser NIR bath leading to a characteristic photoelectron spectrumFil: Boll, Diego Iván René. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Fojon, Omar Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentin

On the Lagrangian structure of 3D consistent systems of asymmetric quad-equations

Recently, the first-named author gave a classification of 3D consistent 6-tuples of quad-equations with the tetrahedron property; several novel asymmetric 6-tuples have been found. Due to 3D consistency, these 6-tuples can be extended to discrete integrable systems on Z^m. We establish Lagrangian structures and flip-invariance of the action functional for the class of discrete integrable systems involving equations for which some of the biquadratics are non-degenerate and some are degenerate. This class covers, among others, some of the above mentioned novel systems.Comment: 21 pp, pdfLaTe