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At the moment there is such situation at which at the macro level economic indicators are more or less obvious and are more studied, and the analysis of factors and systematization of approaches to studying of development of regions of Russia remains not ended so far. Today, the dynamics of the key indicators characterizing regional economies remain non-uniform that generates strong differentiation of subjects of the country on welfare and potential of economic development. In this regard, identification of the priority directions within certain branches of the economy and the advanced regional territories which can be sources of reproduction, attractions of resources and to act as a key link of highly competitive social and economic environment of the region is, today, a relevant task within the formation of innovative economy in Russia. Also, in connection with an urgent need to transition of the Russian economy to a trajectory of sustainable development, it is necessary to provide first of all qualitatively development of regions of the country: involvement of the lagging behind Russian regions in innovative processes to create strong economic relations between large poles of growth and local regional points of growth. The relevance of this research consists in performance of empirical verification of various concepts of convergence on the basis of the main socio-economic indexes of territorial subjects of the Russian Federation given about dynamics, decomposition of economic growth in regions of the Russian Federation and also in the assessment of dynamics of labor productivity in Russian regions.
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