Zap. Nauchn. Sem. POMI, 2000, Volume 269

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2000, Volume 269

Contents

Questions of quantum field theory and statistical physics. Part 16

	A few words about Anatolii Georgievich Izergin L. D. Faddeev		7
	List of publications of Anatolii Isergin		11
	Oxyden in MgO crystal. Local approach I. V. Abarenkov, I. M. Antonova		21
	Temperature correlators of the $XXZ$ Heizenberg magnet at $\Delta=-\infty$ N. I. Abarenkova, A. G. Pronko		43
	Two-point correlators of composite Higgs fields and chiral symmetry restoration A. A. Andrianov, V. A. Andrianov, R. Rodenberg		62
	“Toy models” of turbulent convection and the hypothesis of the local isotropy restoration N. V. Antonov		79
	Symmetries of the 4-matrices Schlesinger system M. V. Babich		92
	The scattering of fermions on the superfluid bose-condensate D. B. Baranov, V. S. Yarunin		109
	Multi-particle correlation functions in the trapped Bose gas N. M. Bogolyubov		125
	Fluctuations near the boundaries in the six-vertex model N. M. Bogolyubov, M. B. Zvonarev, A. V. Kitaev		136
	Faddeev–Popov determinant for the $SU(2)$ Yang–Mills field in partially-dual variables T. A. Bolokhov		143
	The Selberg $Z$-function and the Lindelöf conjecture A. I. Vinogradov		151
	On some set of models of magnets and chiral fields: integrability, Darboux transformation and exact solutions E. Sh. Gutshabash		164
	Symmetries related to Yang–Baxter equation and reflection equations E. V. Damaskinsky, P. P. Kulish		180
	On the structure of coboundary $R$-matrices for classical series E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov		193
	The long-distance asymptotic for the correlation function of the third spin components in the XX0 model with the interaction of four neighboring sites M. B. Zvonarev, A. G. Izergin, A. G. Pronko		207
	Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain V. S. Kapitonov, A. G. Pronko		219
	Proof of the volume conjrcture for torus knots R. M. Kashaev, O. Tirkkonen		262
	Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg model K. L. Malyshev		269
	Quantum matrices of coefficients of a discrete linear problem S. M. Sergeev		292
	Fredholm determinant representation for the partition function of the six-vertex model N. A. Slavnov		308
	One-dimensional parabolic problem arising in the study of some free boundary problems V. A. Solonnikov, A. Fasano		322
	Davenport's theorem in the theory of irregularities of point distribution W. W. L. Chen, M. M. Skriganov		339
	On the Maupertuis–Jakobi transformation and Toda chains A. V. Tsiganov		354