Absorbing and Shattered Fragmentation Transitions in Multilayer Coevolution

We introduce a coevolution voter model in a multilayer, by coupling a fraction of nodes across two network layers and allowing each layer to evolve according to its own topological temporal scale. When these time scales are the same the dynamics preserve the absorbing-fragmentation transition observed in a monolayer network at a critical value of the temporal scale that depends on interlayer connectivity. The time evolution equations obtained by pair approximation can be mapped to a coevolution voter model in a single layer with an effective average degree. When the two layers have different topological time scales we find an anomalous transition, named shattered fragmentation, in which the network in one layer splits into two large components in opposite states and a multiplicity of isolated nodes. We identify the growth of the number of components as a signature of this anomalous transition. We also find a critical level of interlayer coupling needed to prevent the fragmentation in a layer connected to a layer that does not fragment.Comment: 7 pages, 6 figures, last figure caption includes link to animation

Noise in Coevolving Networks

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at some critical rewiring. We study the robustness of these transitions under two distinct ways of introducing noise. Noise affecting all the nodes destroys the absorbing-fragmentation transition, giving rise in finite-size systems to two regimes: bimodal magnetisation and dynamic fragmentation. Noise Targeting a fraction of nodes preserves the transitions but introduces shattered fragmentation with its characteristic fraction of isolated nodes and one or two giant components. Both the lack of absorbing state for homogenous noise and the shift in the absorbing transition to higher rewiring for targeted noise are supported by analytical approximations.Comment: 20 page

Persistent mutual information

We study Persistent Mutual Information (PMI), the information about the past that persists into the future as a function of the length of an intervening time interval. Particularly relevant is the limit of an infinite intervening interval, which we call Permanently Persistent MI. In the logistic and tent maps PPMI is found to be the logarithm of the global periodicity for both the cases of periodic attractor and multi-band chaos. This leads us to suggest that PPMI can be a good candidate for a measure of strong emergence, by which we mean behaviour that can be forecast only by examining a specific realisation. We develop the phenomenology to interpret PMI in systems where it increases indefinitely with resolution. Among those are area-preserving maps. The scaling factor r for how PMI grows with resolution can be written in terms of the combination of information dimensions of the underlying spaces. We identify r with the extent of causality recoverable at a certain resolution, and compute it numerically for the standard map, where it is found to reflect a variety of map features, such as the number of degrees of freedom, the scaling related to existence of different types of trajectories, or even the apparent peak which we conjecture to be a direct consequence of the stickiness phenomenon. We show that in general only a certain degree of mixing between regular and chaotic orbits can result in the observed values of r. Using the same techniques we also develop a method to compute PMI through local sampling of the joint distribution of past and future. Preliminary results indicate that PMI of the Double Pendulum shows some similar features, and that in area-preserving dynamical systems there might be regimes where the joint distribution is multifractal

Dynamical origins of the community structure of multi-layer societies

Social structures emerge as a result of individuals managing a variety of different of social relationships. Societies can be represented as highly structured dynamic multiplex networks. Here we study the dynamical origins of the specific community structures of a large-scale social multiplex network of a human society that interacts in a virtual world of a massive multiplayer online game. There we find substantial differences in the community structures of different social actions, represented by the various network layers in the multiplex. Community size distributions are either similar to a power-law or appear to be centered around a size of 50 individuals. To understand these observations we propose a voter model that is built around the principle of triadic closure. It explicitly models the co-evolution of node- and link-dynamics across different layers of the multiplex. Depending on link- and node fluctuation rates, the model exhibits an anomalous shattered fragmentation transition, where one layer fragments from one large component into many small components. The observed community size distributions are in good agreement with the predicted fragmentation in the model. We show that the empirical pairwise similarities of network layers, in terms of link overlap and degree correlations, practically coincide with the model. This suggests that several detailed features of the fragmentation in societies can be traced back to the triadic closure processes.Comment: 8 pages, 6 figure

Box 2. Some determinants of the growth differential between the euro area and the United States since the onset of the pandemic

Artículo de revist

The “Human” and the “Celestial and Earthly” in Masaoka Shiki\u27s Theory of Haiku

国立ロシア人文大学, モスクワ大学, 2007年10月31日-11月2

Dehumanization of a Human: Abstraction or Reality?

This article focuses on the topic of society digitalization in terms of the negative impact of innovative technologies on the value and citizens’ cognitive potential. Authors pay special attention to the problems facing the system of higher education. The authors’ argumentation is supported by data analysis of publications from well-known websites (including the Times Higher Education, University World News, and All-Russian Internet Pedagogical Council), as well as interviews with students, university staff and personal observations. The survey has shown that the functioning of universities today is complicated by the phenomena known in modern science as functional illiteracy, or ‘digital dementia’ aggressive disinformation. The development and improvement of methods using by society and academic community aimed at enhancing the information content quality that affects intellectual capital of citizens and intensify the efforts of education subjects in the process of eliminating the consequences of the global bureaucratic structures infringement of academic rights and freedoms. Keywords: digitalization of education, Universities, digital dementia, value and cognitive potential of citizens, aggressive disinformatio

Стратегічний менеджмент банку: питання методології

Міжнародні фінансові відносини є невід'ємною частиною міжнародних економічних відносин. Тому цілком закономірним стало виникнення світової фінансової системи, що поєднала національні фінансові системи, і як наслідок, міжнародну банківську систему. Банківські системи різних держав не функціонують в ізоляції одна від одної, вони перебувають у постійній взаємозалежності, взаємовпливі, взаємодії.International financial relations is an integral part of international economic relations. Therefore it was a natural occurrence of the global financial system that combined national financial system, and as a result, the international banking system. Banking systems of different countries do not function in isolation from one another, they are in constant interdependence, mutual influence, interaction