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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2020, Volume 494

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Questions of quantum field theory and statistical physics. Part 27


Backlund transformation for the nonlinear Schrodinger equation
N. M. Belousov
5
Regular representation of the group $\mathrm{GL}(N,\mathbb{R})$: factorization, Casimir operators and Toda chain
N. M. Belousov, S. E. Derkachev
23
Heisenberg $XX0$ chain and random walks on a ring
N. M. Bogoliubov, C. L. Malyshev
48
Infrared extensions of the quadratic form of the ground state of scalar field theory
T. A. Bolokhov
64
Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator
V. V. Borzov, E. V. Damaskinskiy
75
Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model
I. N. Burenev, A. G. Pronko
103
Mellin–Barnes representation for $SL(2, \mathbb{C})$ magnet
P. A. Valinevich
125
Mellin–Barnes transformation for two-loop master-diagrams
S. E. Derkachev, A. V. Ivanov, L. A. Shumilov
144
Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse
V. S. Kapitonov, A. G. Pronko
168
Probability measure near the boundary of tensor power decomposition for $\mathfrak{so}_{2n+1}$
A.A. Nazarov, V. L. Chizhikova
219
Approximation for the zeros of generalized Hermite polynomials via modulated elliptic function
V. Yu. Novokshenov
228
Mixed type regularizations and nonlogarithmic singularities
N. V. Kharuk
242


© Steklov Math. Inst. of RAS, 2024