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The Caucasus Under Soviet Rule
The Caucasus is a strategically and economically important region in contemporary global affairs. Western interest in the Caucasus has grown rapidly since 1991, fuelled by the admixture of oil politics, great power rivalry, ethnic separatism and terrorism that characterizes the region. However, until now there has been little understanding of how these issues came to assume the importance they have today. This book argues that understanding the Soviet legacy in the region is critical to analysing both the new states of the Transcaucasus and the autonomous territories of the North Caucasus. It examines the impact of Soviet rule on the Caucasus, focusing in particular on the period from 1917 t...
The Riemann-Hilbert Problem
The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.
The Great Utopia
"In this volume, which accompanies the largest exhibition ever mounted at the Guggenheim Museum, twenty-one essays by eminent scholars from Germany, Great Britain, Russia, and the United States explore the activity of the Russian and Soviet avant-garde in all its diversity and complexity. These essays trace the work of Malevich's Unovis (Affirmers of the New Art) collective in Vitebsk, which introduced Suprematism's all-encompassing geometries into the design of textiles, ceramics, and indeed whole environments; the postrevolutionary reform of art education and the creation of Moscow's Vkhutemas (Higher Artistic-Technical Workshops), where the formal and analytical princples of the avant-gar...
Dynamical Systems IX
This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "significant" subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a saddle. If there are "sufficiently many" such trajectories and the phase space is compact, then although t...
