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Contents  
• Antonov N. V., Tumakova M. M. A general vector field coupled to a strongly compressible turbulent flow ....... 5
• Bogoliubov N. M., Malyshev C. L. Cauchy--Binet determinantal identity and enumeration of plane partitions in a high box ....... 25
• Bogolyubov N. M., Pronko A. G. One-point function of the four-vertex model ....... 39
• Bolokhov T. A. Pauli--Villars regularization for some models with singular perturbations ....... 54
• Burenev I. N. Five-vertex model and lozenge tilings of a hexagon with a dent ....... 71
• Bytsko A. G. Two relations for the antisymmetrizer in the Hecke algebra ....... 89
• Derkachev S. E., Ivanov A. V. Racah coefficients for the group $\mathrm{SL}(2,\mathbb{R})$ ....... 99
• Ivanov A. B. On Gustafson integrals for the group $\mathrm{SL}(2,\mathbb{R})$ ....... 113
• Ivanov A. V., Russkikh M. A. Quantum field theory on the example of the simplest cubic model ....... 123
• Lyozin D. A., Starodubtsev A. N. Deformation of the Poisson structure of a point particle due to gravitational back reaction ....... 153
• Manashov A. N. Mellin--Barnes integrals related to the Lie algebra $u(N)$ ....... 176
• Postnova O. V., Reshetikhin N. Yu. On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras ....... 185
• Solovyev D. P. Towards counting paths in lattice path models with filter restrictions and long steps ....... 201
• Kharuk N. V. Zero modes of the Laplace operator in two-loop calculations in the Yang--Mills theory ....... 216
• Reviews ....... 227

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• Paging 232 pp.

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