Groups – social communities are important components of entire societies, analysed by means of the social network concept. Their immanent feature is continuous evolution over time. If we know how groups in the social network has evolved we can use this information and try to predict the next step in the given group evolution. In the paper, a new aproach for group evolution prediction is present...

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We give a direct proof of the Harnack inequality for a class of degenerate evolution operators which contains the linearized prototypes of the Kolmogorov and Fokker-Planck operators. We also improve the known results in that we find explicitly the optimal constant of the inequality.

This partially autobiographical article is presented as a chapter in the narrative of the evolution of research methodology in the social sciences and the impact that evolution has had on pastoral/spiritual care research as the author has experienced and observed it during the latter part of the 20th century and the early years of the 21st century.

In this paper we investigate the evolution of the inequality in well-being across di¤erent countries between 1975 and 2000. We treat well-being as a multidimensional concept focusing on three important dimensions of life: standard of living, health and education. Inequality in the three dimensions shows a di¤erent trend between 1975 and 2000. We propose a ‡exible measure of well-being and use t...

Nowadays, there are plenty of sources generating massive amounts of text streams in a continuous way. For example, the increasing popularity and the active use of social networks results in voluminous and fast-flowing data streams containing a large amount of user-generated data about almost any topic around the world. However, the observation and tracking of the ongoing evolution of topics in ...

Online social networks (OSNs) enable researchers to study the social universe at a previously unattainable scale. The worldwide impact and the necessity to sustain the rapid growth of OSNs emphasize the importance of unraveling the laws governing their evolution. Empirical results show that, unlike many real-world growing networked systems, OSNs follow an intricate path that includes a dynamica...

Understanding content popularity growth on Online Social Networks (OSNs) is of great importance to Internet service providers, content creators and online marketers. However, most previous studies of OSNs are based on static views of the system, thus neglecting the temporal evolution of the network, and a possible correlation with content popularity growth. Moreover, previous analyses also grea...