RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

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
Asymptotic dynamics and spectral analysis for the Schrödinger operator with weakly accelerating potential
M. V. Buslaeva
10
A statistical sum associated with Young diagrams
A. M. Vershik
20
Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups
V. A. Kaimanovich
30
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
Formulae for form factors in the quantum Sh-Gordon model
A. N. Kirillov
54
Solution of some combinatorial problems which arise in calculating correlators in exactly solvable models
A. N. Kirillov, F. A. Smirnov
67
Form-factors in the $SU(2)$-invariant Thirring model
A. N. Kirillov, F. A. Smirnov
80
Identities for the Rogers dilogarithm function connected with simple Lie algebras
A. N. Kirillov
121
Generalization of the Goryachev–Chaplygin gyrostat in quantum mechanics
I. V. Komarov, V. B. Kuznetsov
134
Yangians and universal enveloping algebras
G. I. Olshanskii
142
Separation of variables in the Gaudin model
E. K. Sklyanin
151
Scattering data for the nonstationary Dirac equation
P. P. Kulish, V. D. Lipovskii, A. V. Shirokov
170
Compatible Poisson brackets for Lax equations and classical $r$-matrices
A. G. Reiman, M. A. Semenov-Tian-Shansky
176
Realizations of representations of the Brauer semigroup
S. V. Kerov
189


© Steklov Math. Inst. of RAS, 2024