The spatial distribution of demographic variables is essential in Population and Environment studies, but the data of secondary sources – e.g. the Demographic Census – are not always provided on territorial units suitable to population distribution and landscape characteristics. In this work, we aggregate the micro-data from the Population Count 2007, of the Brazilian Institute of Geography and Statistics (IBGE), in regular grids based on household coordinates. Unlike the use of mathematical models for the spatial distribution of data, this methodology is based on the real distribution of households over the territory and enables the aggregation of population data in more adequate areas for population and environment studies, without facing problems with statistical confidentiality breach. The results are closer to the ones found in the field, besides being comparable with old and new surveys conducted by IBGE.

In this paper, novel solutions for strings with three angular momenta in AdS5 × S 5 geometry are presented; the divergent energy limit and the corresponding conserved charges, as well as dispersion relation are also determined. Interpretations of these configurations as either a giant magnon (GM) or a spiky string (SS) are discussed.

The purpose of this study is to extend the concept of a generalized Lie 3-algebra, known to the divisional algebra of the octonions

We consider pulsating strings in Lunin-Maldacena backgrounds, specifically in deformed Minkowski spacetime and deformed AdS5 × S 5. We find the relation between the energy and the oscillation number of the pulsating string when the deformation is small. Since the oscillation number is an adiabatic invariant it can be used to explore the regime of highly excited string states. We then quantize the string and look for such a sector. For the deformed Minkowski background we find a precise match with the classical results if the oscillation number is quantized as an even number. For the deformed AdS5 × S 5 we find a contribution which depends on the deformation parameter.