Table of contents

Volume 51

Number 4, August 1996

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

727
Multivalued groups and Hopf n-algebras

and

View article, Multivalued groups and Hopf n-algebras PDF, Multivalued groups and Hopf n-algebras
https://doi.org/10.1070/RM1996v051n04ABEH002976
730
Transversal intersection of separatrices, the structure of the set of quasi-stochastic motions and the non-existence of an analytic integral in multidimensional systems

View article, Transversal intersection of separatrices, the structure of the set of quasi-stochastic motions and the non-existence of an analytic integral in multidimensional systems PDF, Transversal intersection of separatrices, the structure of the set of quasi-stochastic motions and the non-existence of an analytic integral in multidimensional systems
https://doi.org/10.1070/RM1996v051n04ABEH002977
732
Reconstruction of a potential from the eigenvalues of various problems

View article, Reconstruction of a potential from the eigenvalues of various problems PDF, Reconstruction of a potential from the eigenvalues of various problems
https://doi.org/10.1070/RM1996v051n04ABEH002978
734
The classification of minimal skeletons with a regular boundary

and

View article, The classification of minimal skeletons with a regular boundary PDF, The classification of minimal skeletons with a regular boundary
https://doi.org/10.1070/RM1996v051n04ABEH002979
736
The representation of rational numbers by terminating continued fractions

and

View article, The representation of rational numbers by terminating continued fractions PDF, The representation of rational numbers by terminating continued fractions
https://doi.org/10.1070/RM1996v051n04ABEH002980
739
On estimates of the effective energy for the averaged Poisson equation with a p-Laplacian

View article, On estimates of the effective energy for the averaged Poisson equation with a p-Laplacian PDF, On estimates of the effective energy for the averaged Poisson equation with a p-Laplacian
https://doi.org/10.1070/RM1996v051n04ABEH002981
741
Normal forms of Poisson structures in three-dimensional space

View article, Normal forms of Poisson structures in three-dimensional space PDF, Normal forms of Poisson structures in three-dimensional space
https://doi.org/10.1070/RM1996v051n04ABEH002982
743
Obstructions to reconstructions from a pair of manifolds

and

View article, Obstructions to reconstructions from a pair of manifolds PDF, Obstructions to reconstructions from a pair of manifolds
https://doi.org/10.1070/RM1996v051n04ABEH002983
745
Baire isomorphisms and dimension

View article, Baire isomorphisms and dimension PDF, Baire isomorphisms and dimension
https://doi.org/10.1070/RM1996v051n04ABEH002984
747
On the diassociativity of smooth monoalternative loops

View article, On the diassociativity of smooth monoalternative loops PDF, On the diassociativity of smooth monoalternative loops
https://doi.org/10.1070/RM1996v051n04ABEH002985
750
Minimax optimality of the method of cumulative sums (cusum) in the case of continuous time

View article, Minimax optimality of the method of cumulative sums (cusum) in the case of continuous time PDF, Minimax optimality of the method of cumulative sums (cusum) in the case of continuous time
https://doi.org/10.1070/RM1996v051n04ABEH002986
752
Critical points of the rotation function of an integrable Hamiltonian system

View article, Critical points of the rotation function of an integrable Hamiltonian system PDF, Critical points of the rotation function of an integrable Hamiltonian system
https://doi.org/10.1070/RM1996v051n04ABEH002987
754
Piecewise integral rings and non-singular primary ideals

View article, Piecewise integral rings and non-singular primary ideals PDF, Piecewise integral rings and non-singular primary ideals
https://doi.org/10.1070/RM1996v051n04ABEH002988
756
Ergodicity of billiards in polygons: explicit examples

View article, Ergodicity of billiards in polygons: explicit examples PDF, Ergodicity of billiards in polygons: explicit examples
https://doi.org/10.1070/RM1996v051n04ABEH002989
758
Reconstruction of a Sturm-Liouville equation with an integrable weight

View article, Reconstruction of a Sturm-Liouville equation with an integrable weight PDF, Reconstruction of a Sturm-Liouville equation with an integrable weight
https://doi.org/10.1070/RM1996v051n04ABEH002990

MATHEMATICAL EVENTS

761
Adelaida Borisovna Vasil'eva (on her seventieth birthday)

, , , and

View article, Adelaida Borisovna Vasil'eva (on her seventieth birthday) PDF, Adelaida Borisovna Vasil'eva (on her seventieth birthday)
https://doi.org/10.1070/RM1996v051n04ABEH002991
765
Yakov Grigor'evich Sinai (on his sixtieth birthday)

, , , , , , , , and

View article, Yakov Grigor'evich Sinai (on his sixtieth birthday) PDF, Yakov Grigor'evich Sinai (on his sixtieth birthday)
https://doi.org/10.1070/RM1996v051n04ABEH002992
585
Factorization of birational maps of rational surfaces from the viewpoint of Mori theory

Open abstract View article, Factorization of birational maps of rational surfaces from the viewpoint of Mori theory PDF, Factorization of birational maps of rational surfaces from the viewpoint of Mori theory

Contents Introduction §1. Discussion of the problem, description of the formalism, and initial results §2. Elementary links and the decomposition theorem §3. Relations between elementary links: definitions and general properties §4. Relations in the case of maps of surfaces birationally non-trivial over §5. Relations in the factorizations of birational maps of -rational surfaces

Bibliography

https://doi.org/10.1070/RM1996v051n04ABEH002962
653
The rate of convergence in ergodic theorems

Open abstract View article, The rate of convergence in ergodic theorems PDF, The rate of convergence in ergodic theorems

Contents Introduction 0.1. Notation 0.2. On uniform estimates 0.3. Brief description of new results Chapter I. Rate of convergence in the pointwise ergodic theorem § 1. Growth of the dispersion 1.1. Spectral measures and power-function growth of dispersion 1.2. Proof of Theorem 3 1.3. Correlation coefficients and dispersion growth § 2. Decay of the probability of an ε-deviation 2.1. The case of independent 2.2. Decay of and growth of 2.3. On the rate of approximation of by functions cohomologous to zero 2.4. Proofs of Theorems 11 and 12 § 3. On the law of the iterated logarithm 3.1. The growth of and the law of the iterated logarithm § 4. On uniform convergence 4.1. The fastest uniform convergence 4.2. Two criteria for weak mixing Chapter II. Oscillation of averages in the pointwise ergodic theorem § 5. Crossings of an interval § 6. ε-fluctuations § 7. p-variation Chapter III. Rate of convergence and oscillations in other ergodic theorems § 8. Rate of convergence § 9. Oscillations Appendix 1. Interpretation in terms of non-standard analysis A1.1. The theory of internal sets A1.2. Elementary analogues of ergodic theorems Appendix 2. Estimates of large deviations of the random number of fluctuations of averages for independent terms A2.1. Formulation of the basic result A2.2. Outline of the proof of Theorem 33 Appendix 3. Fluctuations of bounded martingales

Bibliography

https://doi.org/10.1070/RM1996v051n04ABEH002964
705
Program algebras of recursive functions

Open abstract View article, Program algebras of recursive functions PDF, Program algebras of recursive functions

Contents §1. Introduction §2. Completeness §3. Maximal subalgebras §4. Modifications of the completeness problem §5. The structure of subalgebras §6. Congruence and automorphisms §7. Abstract computability in algebraic systems

Bibliography

https://doi.org/10.1070/RM1996v051n04ABEH002966
723
Sergei Mikhailovich Kozlov (obituary)

, , , , , , and

View article, Sergei Mikhailovich Kozlov (obituary) PDF, Sergei Mikhailovich Kozlov (obituary)
https://doi.org/10.1070/RM1996v051n04ABEH002969