Table of contents

Volume 56

Number 1, February 2001

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

149
Spectral properties of left triangular matrices

View article, Spectral properties of left triangular matrices PDF, Spectral properties of left triangular matrices
https://doi.org/10.1070/RM2001v056n01ABEH000361
152
Elementary equivalence of Chevalley groups

View article, Elementary equivalence of Chevalley groups PDF, Elementary equivalence of Chevalley groups
https://doi.org/10.1070/RM2001v056n01ABEH000362
154
On the existence theorem for solutions to the inverse problem of spectral analysis

and

View article, On the existence theorem for solutions to the inverse problem of spectral analysis PDF, On the existence theorem for solutions to the inverse problem of spectral analysis
https://doi.org/10.1070/RM2001v056n01ABEH000364
156
Equivariant Freudenthal theorem and equivariant n-movability

View article, Equivariant Freudenthal theorem and equivariant n-movability PDF, Equivariant Freudenthal theorem and equivariant n-movability
https://doi.org/10.1070/RM2001v056n01ABEH000363
158
An analogue of the Misiurewicz-Przytycki theorem for several maps

View article, An analogue of the Misiurewicz-Przytycki theorem for several maps PDF, An analogue of the Misiurewicz-Przytycki theorem for several maps
https://doi.org/10.1070/RM2001v056n01ABEH000375
160
On exceptional terminal singularities

View article, On exceptional terminal singularities PDF, On exceptional terminal singularities
https://doi.org/10.1070/RM2001v056n01ABEH000366
162
Ergodicity and mixing of T-induced flows

View article, Ergodicity and mixing of T-induced flows PDF, Ergodicity and mixing of T-induced flows
https://doi.org/10.1070/RM2001v056n01ABEH000367
164
Fermionic character formulae for representations of

View article, Fermionic character formulae for representations of PDF, Fermionic character formulae for representations of
https://doi.org/10.1070/RM2001v056n01ABEH000360
166
Topological group representations that are generated by Poisson measures

View article, Topological group representations that are generated by Poisson measures PDF, Topological group representations that are generated by Poisson measures
https://doi.org/10.1070/RM2001v056n01ABEH000368
168
Representation of the algebra of linear maps by a skew product of algebras

View article, Representation of the algebra of linear maps by a skew product of algebras PDF, Representation of the algebra of linear maps by a skew product of algebras
https://doi.org/10.1070/RM2001v056n01ABEH000369
170
Conjugacy of Morse functions on 4-manifolds

View article, Conjugacy of Morse functions on 4-manifolds PDF, Conjugacy of Morse functions on 4-manifolds
https://doi.org/10.1070/RM2001v056n01ABEH000370
172
Periodic Gibbs measures of the inhomogeneous Ising model on trees

View article, Periodic Gibbs measures of the inhomogeneous Ising model on trees PDF, Periodic Gibbs measures of the inhomogeneous Ising model on trees
https://doi.org/10.1070/RM2001v056n01ABEH000371
174
Estimates for Fourier integral operators with complex-valued phase functions

View article, Estimates for Fourier integral operators with complex-valued phase functions PDF, Estimates for Fourier integral operators with complex-valued phase functions
https://doi.org/10.1070/RM2001v056n01ABEH000372
176
Krichever–Novikov algebras and self-duality equations on Riemann surfaces

View article, Krichever–Novikov algebras and self-duality equations on Riemann surfaces PDF, Krichever–Novikov algebras and self-duality equations on Riemann surfaces
https://doi.org/10.1070/RM2001v056n01ABEH000376
179
The Russian option under conditions of a possible price 'freeze'

and

View article, The Russian option under conditions of a possible price 'freeze' PDF, The Russian option under conditions of a possible price 'freeze'
https://doi.org/10.1070/RM2001v056n01ABEH000377
182
Cohomology and dimension of quasi-ordered sets

View article, Cohomology and dimension of quasi-ordered sets PDF, Cohomology and dimension of quasi-ordered sets
https://doi.org/10.1070/RM2001v056n01ABEH000373
185
On the elliptic beta function

View article, On the elliptic beta function PDF, On the elliptic beta function
https://doi.org/10.1070/RM2001v056n01ABEH000374
187
Algebraic description of rings of continuous functions

, and

View article, Algebraic description of rings of continuous functions PDF, Algebraic description of rings of continuous functions
https://doi.org/10.1070/RM2001v056n01ABEH000365
189
Meetings of the Moscow Mathematical Society
View article, Meetings of the Moscow Mathematical Society PDF, Meetings of the Moscow Mathematical Society
https://doi.org/10.1070/RM2001v056n01ABEH000381
197
Yulii Vital'evich Pokornyi (on his 60th birthday)

, and

View article, Yulii Vital'evich Pokornyi (on his 60th birthday) PDF, Yulii Vital'evich Pokornyi (on his 60th birthday)
https://doi.org/10.1070/RM2001v056n01ABEH000378
201
Anatolii Mikhailovich Stepin (on his 60th birthday)

, and

View article, Anatolii Mikhailovich Stepin (on his 60th birthday) PDF, Anatolii Mikhailovich Stepin (on his 60th birthday)
https://doi.org/10.1070/RM2001v056n01ABEH000379
1
Commutative homogeneous spaces and co-isotropic symplectic actions

View article, Commutative homogeneous spaces and co-isotropic symplectic actions PDF, Commutative homogeneous spaces and co-isotropic symplectic actions

The paper is a survey of relationships among the following possible properties of a Riemannian homogeneous space X=G/K: Selberg's property of weak symmetry, commutativity of the algebra of K-invariant measures on X, commutativity of the algebra of G-invariant differential operators on X, commutativity of the Poisson algebra of G-invariant functions on the cotangent bundle of the space X, and (if G is a reductive group) the property of the spectrum of the linear representation of the group G on the algebra of polynomial functions on X being multiplicity-free. Diverse results on structure and classification are presented, including the author's classification of irreducible Riemannian homogeneous spaces of Heisenberg type for which the Poisson algebra of invariant functions on the cotangent bundle is commutative.

https://doi.org/10.1070/RM2001v056n01ABEH000356
61
Exactly integrable hyperbolic equations of Liouville type

and

View article, Exactly integrable hyperbolic equations of Liouville type PDF, Exactly integrable hyperbolic equations of Liouville type

This is a survey of the authors' results concerning non-linear hyperbolic equations of Liouville type. The definition is based on the condition that the chain of Laplace invariants of the linearized equation be two-way finite. New results include a procedure for finding the general solution and a solution of the classification problem for Liouville type equations.

https://doi.org/10.1070/RM2001v056n01ABEH000357
103
Borsuk's problem and the chromatic numbers of some metric spaces

View article, Borsuk's problem and the chromatic numbers of some metric spaces PDF, Borsuk's problem and the chromatic numbers of some metric spaces

A detailed survey is given of various results pertaining to two well-known problems of combinatorial geometry: Borsuk's problem on partitions of an arbitrary bounded d-dimensional set of non-zero diameter into parts of smaller diameter, and the problem of finding chromatic numbers of some metric spaces. Furthermore, a general method is described for obtaining good lower bounds for the minimum number of parts of smaller diameter into which an arbitrary non-singleton set of dimension d can be divided as well as for the chromatic numbers of various metric spaces, in particular, and . Finally, some new lower bounds are proved for chromatic numbers in low dimensions, and new natural generalizations of the notion of chromatic number are proposed.

https://doi.org/10.1070/RM2001v056n01ABEH000358
141
Fridrikh Israilevich Karpelevich (obituary)

, and

View article, Fridrikh Israilevich Karpelevich (obituary) PDF, Fridrikh Israilevich Karpelevich (obituary)
https://doi.org/10.1070/RM2001v056n01ABEH000359