Central Economics and Mathematics Institute

About: Central Economics and Mathematics Institute is a facility organization based out in Moscow, Russia. It is known for research contribution in the topics: Population & Foreign-exchange reserves. The organization has 297 authors who have published 580 publications receiving 6449 citations. The organization is also known as: Federal State Institution of Science Central Economics and Mathematics Institute of the Russian Academy of Sciences.

The structure of a group quasisymmetrically conjugate to a group of affine transformations of the real line

Abstract: This paper is devoted to the substantiation of a criterion for the quasisymmetric conjugacy of an arbitrary group of homeomorphisms of the real line to a group of affine transformations (the Ahlfors problem). In a criterion suggested by Hinkkanen the constants in the definition of a quasisymmetric homeomorphism were assumed to be uniformly bounded for all elements of the group. Subsequently, for orientation-preserving groups this author put forward a more relaxed criterion, in which one assumes only the uniform boundedness of constants for each cyclic subgroup. In the present paper this relaxed criterion is proved for an arbitrary group of line homeomorphisms, which do not necessarily preserve the orientation.

On Massive Subsets in the Space of Finitely Generated Groups of Diffeomorphisms of the Line and the Circle in the Case of C(1) Smoothness

Abstract: Among the finitely generated groups of diffeomorphisms of the line and the circle, groups that act freely on the orbit of almost every point of the line (circle) are allocated. The paper is devoted to the study of the structure of the set of finitely generated groups of orientation-preserving diffeomorphisms of the line and the circle of C(1) smoothness with a given number of generators and the property noted above. It is shown that such a set contains a massive subset (contains a countable intersection of open everywhere dense subsets). Such a result for finitely generated groups of orientation-preserving diffeomorphisms of the circle, in the case of C(2) smoothness, was obtained by the author earlier.

Innovative Activities As a Factor of Economic Growth of the Region (by the Example of the Central Federal District)

Abstract: This article discusses the modern paradigm of economic development based on the innovation component at the regional level of the Russian Federation. The current features of the innovative development of the regions of the Central Federal District are analyzed. A correlation analysis of the level of dependence of the economic growth of the regions on the key indicators of innovative activity has been carried out. The final conclusions on the topic of the study regarding the peculiarities of the impact of innovation on economic growth in the regions of the Russian Federation are formulated.