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1987, Volume 164  

| General information | Contents |


Differential geometry, Lie groups and mechanics. Part IX


Scaling function for the velocity correlator in the theory of isotropic developed turbulence
N. V. Antonov
3–9
Asymptotic dynamics and spectral analysis for the Schrödinger operator with weakly accelerating potential
M. V. Buslaeva
10–19
A statistical sum associated with Young diagrams
A. M. Vershik
20–29
Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups
V. A. Kaimanovich
30–46
On the dynamical system generated by the equations of motion of the Oldroyd fluids of the order $L$
N. A. Karazeeva, A. Cotsiolis, A. P. Oskolkov
47–53
Formulae for form factors in the quantum Sh-Gordon model
A. N. Kirillov
54–66
Solution of some combinatorial problems which arise in calculating correlators in exactly solvable models
A. N. Kirillov, F. A. Smirnov
67–79
Form-factors in the $SU(2)$-invariant Thirring model
A. N. Kirillov, F. A. Smirnov
80–120
Identities for the Rogers dilogarithm function connected with simple Lie algebras
A. N. Kirillov
121–133
Generalization of the Goryachev–Chaplygin gyrostat in quantum mechanics
I. V. Komarov, V. B. Kuznetsov
134–141
Yangians and universal enveloping algebras
G. I. Olshanskii
142–150
Separation of variables in the Gaudin model
E. K. Sklyanin
151–169
Scattering data for the nonstationary Dirac equation
P. P. Kulish, V. D. Lipovskii, A. V. Shirokov
170–175
Compatible Poisson brackets for Lax equations and classical $r$-matrices
A. G. Reiman, M. A. Semenov-Tian-Shansky
176–188
Realizations of representations of the Brauer semigroup
S. V. Kerov
189–193
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