A knot space in a manifold M is a space of oriented immersions S1 ↪ M up to Diff(S 1). J.-L. Brylinski has shown that a knot space of a Riemannian threefold is formally Kähler. We prove that a space of knots in a holonomy G 2 manifold is formally Kähler.
In this article we study a controlled Continuous Time Random Walk and its position-dependent extensions. We heuristically derive the optimal payoff function equations for their scaling limits. The general equation for the corresponding optimal payoff of the limiting process may be called a fractional Hamilton Jacobi Bellman equation.
The evolution of the Afroeurasian world-system which in the ‘long 16th century’ was transformed into the global World System comprised both economic and political components, some of which are discussed in the present article. Earlier research has identified four major zones of instability which can be designated as the Central Asian (including Afghanistan and Pakistan), the Middle East, North Africa, and the Sahel region. We suggest considering these four zones as a single Afrasian macrozone of instability. We show that this zone correlates rather closely with the zone of traditional prevalence of the parallel cousin marriage, as well as with the zone of very low female labor force participation rate, and the territory of the Umayyad Califate. The article demonstrates that this correlation is not coincidental and also discusses the factors and mechanisms that have produced it.
The article will discuss the variety of African migrants’ pathways toward social recognition and success in a Russian megacity by describing and analyzing the experiences of the Ethiopian owners of two establishments in Moscow: a lavish downtown restaurant, and a small café on an international university campus on the city’s outskirts. These cases display various points of both similarity and divergence, but are here regarded as examples of successful African entrepreneurship, each in its own way, contrasting with the usual representation of Africans as passive victims in the receiving society. As background for the analysis we provide information on the changes that have occurred since the breakup of the USSR, and which have impacted on the migrants’ social composition, on their strategies of integration, and on the modes P. 206. of their acceptance by the new sociocultural milieu. The research is based mainly on in-depth and semi-structured interviews with the two establishment owners, their employees, and guests conducted in May to June 2012. It reveals the factors that have promoted their successful establishment in the Russian capital as well as their own perceptions of the position of migrants within it.
The changes since the breakup of the USSR have impacted African migrants’ social composition, as well as their strategies and forms of adaptation and integration in the capital city of Moscow. In this study, we discuss the factors influencing the choices of African migrants, related to their background as Africans and to their perceptions of the receiving society. We distinguish between two social groups of African migrants and argue that while one group seeks integration into the Russian society, the other limits itself to mere adaptation to life in Moscow.
The formation of the Afroeurasian world-system was one of the crucial points of social evolution, starting from which the social evolution rate and effectiveness increased dramatically. In the present article we analyze processes and scales of global integration in historical perspective, starting with the Agrarian Revolution. We connect the main phases of historical globalization with the processes of the development of the Afroeurasian world-system. In the framework of the Afroeurasian world-system the integration began a few thousand years BCE. In this world-system the continental and supracontinental links became rather developed long before the Great Geographic Discoveries and thus, they could quite be denoted as global (albeit in a somehow limited sense). As some researchers are still inclined to underestimate the scale of those links in the pre-Industrial era, it appears necessary to provide additional empirical support for our statement. It also turns necessary to apply a special methodology (which necessitated the use of the world-system approach). We analyze some versions of periodization of globalization history. We also propose our own periodization of globalization history using as its basis the growing scale of intersocietal links as an indicator of the level of globalization development.
The problem of developing a decision support system for estimating a) the scale of incorporating available renewable sources of energy (such as solar and wind energy) in a part of a country’s electrical grid (called a regional electrical grid further in this paper), and b) the scale of storing electricity in this (regional) electrical grid to make these renewable sources of electric power competitive with traditional power generators (such as fossil-fuel and nuclear ones) and to reduce the cost of acquiring electricity from all the electric power generating facilities in the grid is considered. In the framework of this system, renewable sources of energy are viewed as electricity generating facilities under both existing and expected electricity prices, and the uncertainty of energy supply from them and the uncertainty of the grid customer demand for electricity during every 24 h are taken into account. A mathematical model underlying the system allows one to study the interaction of all the grid elements as a game with a finite (more than three) number of players on a polyhedron of connected player strategies (i.e., strategies that cannot be chosen by the players independently of each other) in a finite-dimensional space. It is shown that solving both parts of the problem under consideration is reducible to finding Nash equilibrium points in this game.