Table of contents

Volume 51

Number 1, February 1996

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

137
Invariants of the co-adjoint representation for Lie algebras of a special form

View article, Invariants of the co-adjoint representation for Lie algebras of a special form PDF, Invariants of the co-adjoint representation for Lie algebras of a special form
https://doi.org/10.1070/RM1996v051n01ABEH002751
140
Three-dimensional algebraic manifolds having a divisor with a numerically trivial canonical class

View article, Three-dimensional algebraic manifolds having a divisor with a numerically trivial canonical class PDF, Three-dimensional algebraic manifolds having a divisor with a numerically trivial canonical class
https://doi.org/10.1070/RM1996v051n01ABEH002752
142
The antipode theorem and points of coincidence

View article, The antipode theorem and points of coincidence PDF, The antipode theorem and points of coincidence
https://doi.org/10.1070/RM1996v051n01ABEH002753
144
On minimal binary trees with a regular boundary

and

View article, On minimal binary trees with a regular boundary PDF, On minimal binary trees with a regular boundary
https://doi.org/10.1070/RM1996v051n01ABEH002754
146
The logic of a creative subject: conservativism versus intuitionistic predicate calculus

View article, The logic of a creative subject: conservativism versus intuitionistic predicate calculus PDF, The logic of a creative subject: conservativism versus intuitionistic predicate calculus
https://doi.org/10.1070/RM1996v051n01ABEH002755
148
The monotonicity of the rotation function and anticompatible contact structures

View article, The monotonicity of the rotation function and anticompatible contact structures PDF, The monotonicity of the rotation function and anticompatible contact structures
https://doi.org/10.1070/RM1996v051n01ABEH002756
150
A game-theoretic approach to pricing under conditions of competition

View article, A game-theoretic approach to pricing under conditions of competition PDF, A game-theoretic approach to pricing under conditions of competition
https://doi.org/10.1070/RM1996v051n01ABEH002757
152
Estimates of the sectional curvatures of Riemannian symmetric spaces

View article, Estimates of the sectional curvatures of Riemannian symmetric spaces PDF, Estimates of the sectional curvatures of Riemannian symmetric spaces
https://doi.org/10.1070/RM1996v051n01ABEH002758
155
On the structure of a Hopf cohomology 2-algebra of four-dimensional manifolds

View article, On the structure of a Hopf cohomology 2-algebra of four-dimensional manifolds PDF, On the structure of a Hopf cohomology 2-algebra of four-dimensional manifolds
https://doi.org/10.1070/RM1996v051n01ABEH002759
158
Large deviation theorems for the chi-square test

View article, Large deviation theorems for the chi-square test PDF, Large deviation theorems for the chi-square test
https://doi.org/10.1070/RM1996v051n01ABEH002760
160
Canonical coordinates on the orbits of the co-adjoint representation of tensor extensions of special nilpotent Lie groups of dimension nine

View article, Canonical coordinates on the orbits of the co-adjoint representation of tensor extensions of special nilpotent Lie groups of dimension nine PDF, Canonical coordinates on the orbits of the co-adjoint representation of tensor extensions of special nilpotent Lie groups of dimension nine
https://doi.org/10.1070/RM1996v051n01ABEH002761
162
A variational principle for a two-dimensional system of equations of gas dynamics without stress

View article, A variational principle for a two-dimensional system of equations of gas dynamics without stress PDF, A variational principle for a two-dimensional system of equations of gas dynamics without stress
https://doi.org/10.1070/RM1996v051n01ABEH002762
165
The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body

View article, The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body PDF, The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body
https://doi.org/10.1070/RM1996v051n01ABEH002763
167
On cohomologies with supports

View article, On cohomologies with supports PDF, On cohomologies with supports
https://doi.org/10.1070/RM1996v051n01ABEH002764
169
On some properties of elliptic and parabolic functional-differential equations

View article, On some properties of elliptic and parabolic functional-differential equations PDF, On some properties of elliptic and parabolic functional-differential equations
https://doi.org/10.1070/RM1996v051n01ABEH002765
171
Description of stable homotopy groups of spheres in the language of A∞-algebras

View article, Description of stable homotopy groups of spheres in the language of A∞-algebras PDF, Description of stable homotopy groups of spheres in the language of A∞-algebras
https://doi.org/10.1070/RM1996v051n01ABEH002766
173
Bass rings and perfect rings

View article, Bass rings and perfect rings PDF, Bass rings and perfect rings
https://doi.org/10.1070/RM1996v051n01ABEH002767
175
Some properties of the system of elementary solutions of differential-difference equations

View article, Some properties of the system of elementary solutions of differential-difference equations PDF, Some properties of the system of elementary solutions of differential-difference equations
https://doi.org/10.1070/RM1996v051n01ABEH002768
177
Planar structures and billiards in rational polygons

View article, Planar structures and billiards in rational polygons PDF, Planar structures and billiards in rational polygons
https://doi.org/10.1070/RM1996v051n01ABEH002769
179
On rigid rational cuspidal plane curves

and

View article, On rigid rational cuspidal plane curves PDF, On rigid rational cuspidal plane curves
https://doi.org/10.1070/RM1996v051n01ABEH002770
1
Topological problems of the theory of wave propagation

View article, Topological problems of the theory of wave propagation PDF, Topological problems of the theory of wave propagation

Contents §1. An apologia for Applied Mathematics §2. Theorems on four cusps §3. The Hurwitz-Kellogg-Tabachnikov theorem of Sturm type §4. Trigonometric approximations §5. Lagrangian intersections in symplectic topology §6. Legendrian links in contact topology §7. Lagrangian collapse and the cusps of caustics §8. Legendrian collapse and the cusps of fronts §9. Space curves and their points of flattening §10. Vertices of convex space curves §11. Applications to the theory of extatic points of plane curves §12. Multidimensional generalizations of Sturm theory

Bibliography

https://doi.org/10.1070/RM1996v051n01ABEH002734
49
Products of unimodular independent random matrices

View article, Products of unimodular independent random matrices PDF, Products of unimodular independent random matrices

Contents Introduction 1. Formulation of the problem 2. Survey of results 3. Basic results 4. Contents of the article §1. The phase space of a Markov chain 1. The space Y 2. Metric on Y 3. Group action of G on Y 4. Characteristic measures on Y §2. Strong law of large numbers 1. μ-random walk on Y 2. Ergodicity of the μ-random walk 3. Non-equality of Lyapunov exponents 4. Estimates of z(yg(n)) 5. Proof of Theorem 0.1 6. Rate of contraction to a point §3. Limit theorems for Markov chains 1. The Ionescu-Tulcea and Marinescu theorem 2. Perturbed Markov operators 3. Decomposition of Pη(τ) for small τ 4. Central limit theorem 5. Local limit theorem §4. Proof of the central and local limit theorems §5. Proof of the conditional limit theorem 1. Properties of the operator Kβ 2. Properties of the operator Pβ(τ) 3. Critical case 4. Proof of the conditional limit theorem

Bibliography

https://doi.org/10.1070/RM1996v051n01ABEH002735
97
Finite-dimensional reductions of smooth extremal problems

View article, Finite-dimensional reductions of smooth extremal problems PDF, Finite-dimensional reductions of smooth extremal problems

Contents Introduction Chapter I. Dimension lowering in finite-dimensional extremal problems §1.1. The Poincaré reduction §1.2. The generalized Poincaré reduction §1.3. Postcritical equilibrium states of an elastic chain §1.4. Stationary rotations of multidimensional tops. The Smale reduction Chapter II. Finite-dimensional reductions in smooth extremal problems on infinite-dimensional manifolds §2.1. The Lyapunov-Schmidt reduction §2.2. The Morse-Bott reduction §2.3. General finite-dimensional reduction scheme §2.4. Elastic equilibria of the Euler rod §2.5. Morse-Bott reduction for the Kirchhoff rod §2.6. Equilibria of a thin elastic plate

Bibliography

https://doi.org/10.1070/RM1996v051n01ABEH002741
129
Ramil' Faritovich Bikbaev (obituary)

, , , , , , and

View article, Ramil' Faritovich Bikbaev (obituary) PDF, Ramil' Faritovich Bikbaev (obituary)
https://doi.org/10.1070/RM1996v051n01ABEH002743
135
Yurii Aleksandrovich Kaz'min (obituary)

, , and

View article, Yurii Aleksandrovich Kaz'min (obituary) PDF, Yurii Aleksandrovich Kaz'min (obituary)
https://doi.org/10.1070/RM1996v051n01ABEH002750