We model network formation when heterogeneous nodes enter sequentially and form connections through both random meetings and network-based search, but with type-dependent biases. We show that there is “long-run integration,” whereby the composition of types in sufficiently old nodes’ neighborhoods approaches the global type distribution, provided that the network-based search is unbiased. Howev...

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

We study the effects of adding a local perturbation in a pattern forming system, taking as an example the Ginzburg-Landau equation with a small localized inhomogeneity in two dimensions. Measuring the response through the linearization at a periodic pattern, one finds an unbounded linear operator that is not Fredholm due to continuous spectrum in typical translation invariant or weighted spaces...

The literature on the immunological aspects of tumor transplantation has been well reviewed by Hauschka (9), so it is necessary only to point out certain technical problems that form the basis for the present communication. The most striking recent advances in our knowledge of the genetics of tumor transplanta tion have been due to the work of Snell and his colleagues on the H-2 locus (13) and ...

This paper describes a methodical and logical approach of process design as employed within the Satellite Design Office at Dornier Satellite Systems GmbH. It concerns the concept development phase (Phase A/B). Many papers have been written on the subject of the concept design centers, but nearly none of them describe the intern design process. At last this paper focuses on the method in which w...

In this paper I present the verbal stem space in French and its use in lexeme formation. First, I present the stem spaces worked out by Bonami & Boyé (2002; 2003; 2005) for verbs and adjectives. Then I show that the verbal stem space needs to be extended with an extra slot in order to account for a number of lexeme-formation rules. Finally, I show that verb to noun conversion can select three d...

Recently a variety of link-based stability concepts have emerged in the literature on game theoretic models of social network formation. We investigate two basic formation properties that establish equivalence between some well known types of stable networks and their natural extensions. These properties can be identified as convexity conditions on the network payoff structures.

We report a case of an osteonecrosis-like lesion of the knee that developed shortly after an arthroscopic medial meniscectomy. Clinical presentation, physical findings, and imaging of the knee including magnetic resonance imaging were similar to those of the cases that have been reported as osteonecrosis after meniscectomy. However, histologic analysis of the lesion revealed that there was no o...

Network formation on trust and trustworthiness needs to be sustainable for any online trust based economy. It is important to have a matching game within our program in order to match up the most compatible individuals. Similar individuals can have higher levels of trust at the start of the relationship and thus have lasting partnerships. However, we must also create a network structure that al...

where ∆ denotes a diffusion operator, is central to many biological applications, in fields ranging from pattern formation in development to ecology. One of the central topics of research in this context is the question of how the stability of solutions of the PDE relates to stability of solutions of the underlying ordinary differential equation (ODE) dx dt (t) = F (x(t), t). This paper shows t...