Piotr Fronczak

This paper presents a versatile model for generating fractal complex networks that closely mirror the properties of real-world systems. By combining features of reverse renormalization and evolving network models, the proposed approach introduces several tunable parameters, offering exceptional flexibility in capturing the diverse topologies and scaling behaviors found in both natural and man-made networks. The model effectively replicates their key characteristics such as fractal dimensions, power-law degree distributions, and scale-invariant properties of hierarchically nested boxes. Unlike traditional deterministic models, it incorporates stochasticity into the network growth process, overcoming limitations like discontinuities in degree distributions and rigid size constraints. The model's applicability is demonstrated through its ability to reproduce the structural features of real-world fractal networks, including the Internet, the World Wide Web, and co-authorship networks.

Elementary cellular automata provide one of the simplest ways to generally describe the phenomena of pattern formation. However, they are considered too simple to be able to describe in detail the more complex phenomena occurring in real experimental systems. In this article, we demonstrate the an application of these methods to optical systems, providing an understanding of the mechanisms behind the formation of periodic patterns in nanoparticle-doped liquid crystals. Our extremely simplified model also explains the observed linear relationship between periodicity and system size.

In this paper, we provide insight into the editorial process as seen from the perspective of journal editors. We study a dataset obtained from the Journal of the Serbian Chemical Society, which contains information about submitted and rejected manuscripts, in order to find differences between local (Serbian) and external (non-Serbian) submissions. We show that external submissions (mainly from India, Iran and China) constitute the majority of all submissions, while local submissions are in the minority. Most of submissions are rejected for technical reasons (e.g. wrong manuscript formatting or problems with images) and many users resubmit the same paper without making necessary corrections. Manuscripts with just one author are less likely to pass the technical check, which can be attributed to missing metadata. Articles from local authors are better prepared and require fewer resubmissions on average before they are accepted for peer review. The peer review process for local submissions takes less time than for external papers and local submissions are more likely to be accepted for publication. Also, while there are more men than women among external users, this trend is reversed for local users. In the combined group of local and external users, articles submitted by women are more likely to be published than articles submitted by men.

Inspired by albatrosses that use thermal lifts to fly across oceans we develop a simple model of gliders that serves us to study theoretical limitations of unlimited exploration of the Earth. Our studies, grounded in physical theory of continuous percolation and biased random walks, allow us to identify a variety of percolation transitions, which are understood as providing potentially unlimited movement through a space in a specified direction. We discover an unexpected phenomenon of self-organization of gliders in clusters, which resembles the flock organization of birds. This self-organization is intriguing, as it occurs thanks to exchange of information only and without any particular rules that could favor the clustering of the gliders (in contrast to the causes well known in literature, like, for example, attractive forces used in the Vicsek-type models or fitness functions used in evolutionary computation).