IntroductIon The social, relational, and affective dynamics are receiving more and more attention in the study of learning processes, as cognitive, affective, and emotional dimensions of learning seem to be closely related. This kind of co-origination, borne out in the context of neurosciences, artificial intelligence, cognitive psychology, and education, has also been recognized in the field o...

The aim of this study is to analyze the role of social capital in the conversion of collaboration in a productive force and, consequently, the improvement of competitiveness of two Brazilian wine industry networks: Aprovale and Aprobelo. In a previous study, we concluded that there were statistical significant differences between social capital and competitiveness dimensions. In other words, th...

We prove an inequality between the relative homological dimension of a Kleinian group Γ ⊂ Isom(Hn) and its critical exponent. As an application of this result we show that for a geometrically finite Kleinian group Γ, if the topological dimension of the limit set of Γ equals its Hausdorff dimension, then the limit set is a round sphere.

Two embeddings of a homogeneous endpoint Besov space are established via the Hausdorff capacity and the heat equation. Meanwhile, a co-capacity formula and a trace inequality are derived from the Besov space. © 2006 Elsevier Inc. All rights reserved. MSC: primary 31, 42A, 46E, 47B, 53A

Recent empirical investigations suggest a universal scaling law for the spatial structure of social networks. It is found that the probability density distribution of an individual to have a friend at distance d scales as P(d) ∝ d−1. According to this spatial property, a scale invariant friendship (SIF) network model is introduced to deal with the navigation problem with non-uniform population ...