Table of contents

Volume 62

Number 5, October 2007

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

977
Inversion of multidimensional Mellin transforms

View article, Inversion of multidimensional Mellin transforms PDF, Inversion of multidimensional Mellin transforms
https://doi.org/10.1070/RM2007v062n05ABEH004459
980
Effective estimates for generalized global relations

View article, Effective estimates for generalized global relations PDF, Effective estimates for generalized global relations
https://doi.org/10.1070/RM2007v062n05ABEH004458
983
Automorphisms of Chevalley groups of some types over local rings

View article, Automorphisms of Chevalley groups of some types over local rings PDF, Automorphisms of Chevalley groups of some types over local rings
https://doi.org/10.1070/RM2007v062n05ABEH004457
985
Homotopy type of the complement of an immersion and classification of embeddings of tori

, and

View article, Homotopy type of the complement of an immersion and classification of embeddings of tori PDF, Homotopy type of the complement of an immersion and classification of embeddings of tori
https://doi.org/10.1070/RM2007v062n05ABEH004468
988
The fan of the main component of the toric Hilbert scheme

View article, The fan of the main component of the toric Hilbert scheme PDF, The fan of the main component of the toric Hilbert scheme
https://doi.org/10.1070/RM2007v062n05ABEH004469
990
An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface

and

View article, An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface PDF, An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface
https://doi.org/10.1070/RM2007v062n05ABEH004461
993
Polynomially dependent homomorphisms. Uniqueness theorem for Frobenius n-homomorphisms

View article, Polynomially dependent homomorphisms. Uniqueness theorem for Frobenius n-homomorphisms PDF, Polynomially dependent homomorphisms. Uniqueness theorem for Frobenius n-homomorphisms
https://doi.org/10.1070/RM2007v062n05ABEH004460
996
On semigroups of isotonic transformations of partially ordered sets

and

View article, On semigroups of isotonic transformations of partially ordered sets PDF, On semigroups of isotonic transformations of partially ordered sets
https://doi.org/10.1070/RM2007v062n05ABEH004463
999
Singularity cycles and characteristic classes in cobordism

View article, Singularity cycles and characteristic classes in cobordism PDF, Singularity cycles and characteristic classes in cobordism
https://doi.org/10.1070/RM2007v062n05ABEH004464
1002
Triads and short SO3-subgroups of compact groups

View article, Triads and short SO3-subgroups of compact groups PDF, Triads and short SO3-subgroups of compact groups
https://doi.org/10.1070/RM2007v062n05ABEH004465
1005
A criterion for the quotient of an algebraic group by a one-dimensional subgroup to be affine

View article, A criterion for the quotient of an algebraic group by a one-dimensional subgroup to be affine PDF, A criterion for the quotient of an algebraic group by a one-dimensional subgroup to be affine
https://doi.org/10.1070/RM2007v062n05ABEH004466
1007
An example of a bounded approximatively compact set which is not locally compact

View article, An example of a bounded approximatively compact set which is not locally compact PDF, An example of a bounded approximatively compact set which is not locally compact
https://doi.org/10.1070/RM2007v062n05ABEH004467
1009
A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere

View article, A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere PDF, A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere
https://doi.org/10.1070/RM2007v062n05ABEH004470
1012
Strong Gaussian approximation of an associated random field

View article, Strong Gaussian approximation of an associated random field PDF, Strong Gaussian approximation of an associated random field
https://doi.org/10.1070/RM2007v062n05ABEH004471
1015
Special isometric transformations of a cylinder

View article, Special isometric transformations of a cylinder PDF, Special isometric transformations of a cylinder
https://doi.org/10.1070/RM2007v062n05ABEH004472
1018
Quasi-triviality of forms of Segre varieties

View article, Quasi-triviality of forms of Segre varieties PDF, Quasi-triviality of forms of Segre varieties
https://doi.org/10.1070/RM2007v062n05ABEH004462

MATHEMATICAL LIFE

1021
Vladimir Igorevich Arnol'd (on his 70th birthday)
View article, Vladimir Igorevich Arnol'd (on his 70th birthday) PDF, Vladimir Igorevich Arnol'd (on his 70th birthday)
https://doi.org/10.1070/RM2007v062n05ABEH004473
1031
International conference "Analysis and Singularities" dedicated to the 70th birthday of V.I. Arnol'd

View article, International conference "Analysis and Singularities" dedicated to the 70th birthday of V.I. Arnol'd PDF, International conference "Analysis and Singularities" dedicated to the 70th birthday of V.I. Arnol'd
https://doi.org/10.1070/RM2007v062n05ABEH004474
1035
The summer school "Contemporary Mathematics"

, , and

View article, The summer school "Contemporary Mathematics" PDF, The summer school "Contemporary Mathematics"
https://doi.org/10.1070/RM2007v062n05ABEH004475
1039
International conference "Differential Equations and Topology" dedicated to the 100th birthday of L.S. Pontryagin (1908-1988)
View article, International conference "Differential Equations and Topology" dedicated to the 100th birthday of L.S. Pontryagin (1908-1988) PDF, International conference "Differential Equations and Topology" dedicated to the 100th birthday of L.S. Pontryagin (1908-1988)
https://doi.org/10.1070/RM2007v062n05ABEH004476
843
Continued fractions of square roots of rational numbers and their statistics

Open abstract View article, Continued fractions of square roots of rational numbers and their statistics PDF, Continued fractions of square roots of rational numbers and their statistics

The differences are described between the statistics of the periodic continued fractions of quadratic irrational numbers and the universal Gauss-Kuzmin statistics of the continued fractions of random real numbers. Besides being a survey of these differences, this article discusses the results of V.A. Bykovskii [Bykovsky] and his school, who have proved the author's 1993 conjectures on the similarities of these statistics.

https://doi.org/10.1070/RM2007v062n05ABEH004453
857
Birationally rigid varieties. I. Fano varieties

Open abstract View article, Birationally rigid varieties. I. Fano varieties PDF, Birationally rigid varieties. I. Fano varieties

The theory of birational rigidity of rationally connected varieties generalises the classical rationality problem. This paper gives a survey of the current state of this theory and traces its history from Noether's theorem and the Lüroth problem to the latest results on the birational superrigidity of higher-dimensional Fano varieties. The main components of the method of maximal singularities are considered.

https://doi.org/10.1070/RM2007v062n05ABEH004454
943
The information system Math-Net.Ru. Application of contemporary technologies in the scientific work of mathematicians

and

Open abstract View article, The information system Math-Net.Ru. Application of contemporary technologies in the scientific work of mathematicians PDF, The information system Math-Net.Ru. Application of contemporary technologies in the scientific work of mathematicians

This paper is devoted to a description of the information system Math-Net.Ru, the All-Russian mathematical portal providing various resources to Russian and foreign mathematicians in their search for information for their scientific work (http://www.mathnet.ru/). The most interesting section of the portal is Journals, which combines Russian periodical and continuous publications in the mathematical sciences as a unified information system. The portal structure and its diverse opportunities and tools available for information searches are described. A survey of similar Russian and foreign systems is presented. This article is aimed at the wide community of mathematicians ready to use new information technologies in their research. Technical details of the system's realization are omitted, and attention is focused rather on a description of the users' possibilities.

https://doi.org/10.1070/RM2007v062n05ABEH004455
967
The mathematical information system MathTree

, , and

Open abstract View article, The mathematical information system MathTree PDF, The mathematical information system MathTree

This article describes the mathematical information system MathTree, created and developed in the Siberian Branch of the Russian Academy of Sciences. Its potentials, current status, and prospects for future development are discussed.

https://doi.org/10.1070/RM2007v062n05ABEH004456