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Found 164 Documents (Results 1–100)

Mathematical modeling of plasma transport in a helical magnetic field. (English. Russian original) Zbl 07820608

Dokl. Math. 108, No. 3, 533-538 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 129-134 (2023).
MSC:  76Xxx 76Wxx 82Dxx
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Numerical-statistical investigation of superexponential growth of mean particle flow with multiplication in a homogeneous random medium. (English. Russian original) Zbl 07820605

Dokl. Math. 108, No. 3, 519-523 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 112-117 (2023).
MSC:  65C05 82C40
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Stochastic modeling of transport coefficients of liquids. (English. Russian original) Zbl 07786640

Dokl. Math. 108, No. 1, 264-268 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 27-32 (2023).
MSC:  82-XX 82Cxx 81Vxx
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Mathematical modeling of melting tungsten exposed to pulsed laser beam. (English. Russian original) Zbl 07709508

Dokl. Math. 107, No. 1, 83-87 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 101-105 (2023).
MSC:  82-XX 76-XX
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Geometric deep learning for design of catalysts and molecules. (English. Russian original) Zbl 07667552

Dokl. Math. 106, Suppl. 1, S63-S64 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 508, 70-72 (2022).
MSC:  82C32 62M45
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On the stationary non-equilibrium measures for the “field-crystal” system. (English. Russian original) Zbl 1517.81045

Dokl. Math. 106, No. 2, 332-335 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 37-40 (2022).
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On the parallelization of the particle method for hybrid supercomputers. (English. Russian original) Zbl 1497.65198

Dokl. Math. 106, No. 1, 225-229 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 19-23 (2022).
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Comparative analysis of numerical-statistical projection algorithms for solving transfer theory problems. (English. Russian original) Zbl 1506.35233

Dokl. Math. 105, No. 1, 35-38 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 42-45 (2022).
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Application of the multiscale approach to simulation of air sorbent filtration. (English. Russian original) Zbl 1495.65194

Dokl. Math. 104, No. 2, 297-300 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 92-96 (2021).
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Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential. (English. Russian original) Zbl 1487.81139

Dokl. Math. 104, No. 2, 277-281 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 67-73 (2021).
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Contact geometry in optimal control of thermodynamic processes for gases. (English. Russian original) Zbl 07424625

Dokl. Math. 102, No. 1, 346-349 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 99-103 (2020).
MSC:  82-XX 49-XX
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Jacobi stability of a many-body system with modified potential. (English. Russian original) Zbl 07424577

Dokl. Math. 101, No. 2, 154-157 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 90-94 (2020).
MSC:  82-XX 35-XX
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On the Zakharov-L’vov stochastic model for wave turbulence. (English. Russian original) Zbl 1479.35783

Dokl. Math. 101, No. 2, 102-109 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 29-37 (2020).
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Method for analyzing the influence of the quantum nonlocal effect on the characteristics of a plasmonic nanolaser. (English. Russian original) Zbl 1478.78056

Dokl. Math. 101, No. 1, 20-24 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 24-28 (2020).
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Hydrodynamic instabilities and nonequilibrium phase transitions. (English. Russian original) Zbl 1458.76053

Dokl. Math. 99, No. 3, 308-312 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 5, 537-542 (2019).
MSC:  76F06 76E99 82C26
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Vlasov-Poisson-Poisson equations, critical mass, and Kordylewski clouds. (English. Russian original) Zbl 1420.35414

Dokl. Math. 99, No. 2, 221-224 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 3, 276-280 (2019).
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On the formation of structures in nonlinear problems of physical kinetics. (English. Russian original) Zbl 1420.35408

Dokl. Math. 99, No. 1, 99-103 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 5, 532-537 (2019).
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Molecular dynamics of water clusters and interaction potentials. (English. Russian original) Zbl 1419.82035

Dokl. Math. 99, No. 1, 83-86 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 6, 659-662 (2019).
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Modeling of phase transitions in weakly bound molecular clusters. (English. Russian original) Zbl 1428.82022

Dokl. Math. 98, No. 3, 592-595 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 4, 355-358 (2018).
MSC:  82B26 81V55 81V45
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Efficient parallel algorithm for calculating electric currents in a toroidal plasma. (English. Russian original) Zbl 1407.82059

Dokl. Math. 98, No. 2, 518-521 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 1, 19-22 (2018).
MSC:  82D10 82D75 82-08 65Y05 82C22
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On Sobolev classes containing solutions to Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1410.35243

Dokl. Math. 98, No. 2, 498-501 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 6, 631-634 (2018).
MSC:  35Q84 35R11 82C31
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On non-uniqueness of probability solutions to the two-dimensional stationary Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1433.35406

Dokl. Math. 98, No. 2, 475-479 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 5, 489-493 (2018).
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Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1414.35227

Dokl. Math. 98, No. 2, 452-457 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 4, 369-374 (2018).
MSC:  35Q84 82C31 35B20
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Failure of structural material as a nonequilibrium phase transition. (English. Russian original) Zbl 1452.74009

Dokl. Math. 97, No. 3, 227-231 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 145-149 (2018).
MSC:  74A45 82C26
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Features of the spectral density of a spin system. (English. Russian original) Zbl 1434.82020

Dokl. Math. 97, No. 2, 188-192 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 4, 377-381 (2018).
MSC:  82B20 82B23 82B26
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Analysis method for the scattering properties of plasmonic particles on a substrate accounting for nonlocal effects. (English. Russian original) Zbl 1385.81044

Dokl. Math. 96, No. 3, 641-645 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 2, 153-158 (2017).
MSC:  81U05 82D10
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Integrability and continuity of solutions to Fokker-Planck-Kolmogorov equations. (English) Zbl 1390.35361

Dokl. Math. 96, No. 3, 583-586 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 4, 393-397 (2017).
MSC:  35Q84 82C31
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On the nature of the Rayleigh-Bénard convective instability. (English. Russian original) Zbl 1448.76084

Dokl. Math. 96, No. 1, 393-398 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 618-623 (2016).
MSC:  76E15 82C26
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On the fundamental solution of the Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1372.35303

Dokl. Math. 95, No. 1, 55-59 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 383-387 (2017).
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Vlasov-Poisson equations for a two-component plasma in a half-space. (English, Russian) Zbl 1480.35376

Dokl. Math. 94, No. 3, 681-683 (2016); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 5, 528-530 (2016).
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Maslov complex germ and high-frequency Gaussian beams for cold plasma in a toroidal domain. (English. Russian original) Zbl 1354.82032

Dokl. Math. 94, No. 1, 480-485 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 6, 666-671 (2016).
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Multiscale approach to computation of three-dimensional gas mixture flows in engineering microchannels. (English. Russian original) Zbl 1349.76874

Dokl. Math. 94, No. 1, 458-460 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 6, 656-658 (2016).
MSC:  76T99 65Y05 76M25 82C80
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On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. (English. Russian original) Zbl 1357.11095

Dokl. Math. 93, No. 3, 326-328 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 618-621 (2016).
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Weighted modification of direct statistical modeling with randomized branching for approximate solution of a kinetic equation. (English. Russian original) Zbl 1388.82024

Dokl. Math. 92, No. 3, 677-681 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 2, 145-149 (2015).
MSC:  82C40 60K35
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A new approach to Boltzmann’s ergodic hypothesis. (English. Russian original) Zbl 1360.37152

Dokl. Math. 92, No. 2, 624-626 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 532-534 (2015).
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Spectra of three-dimensional cruciform and lattice quantum waveguides. (English. Russian original) Zbl 1334.82086

Dokl. Math. 92, No. 1, 514-518 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 6, 650-654 (2015).
MSC:  82D77 82B20
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Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation. (English. Russian original) Zbl 1330.82055

Dokl. Math. 91, No. 3, 354-358 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 5, 519-523 (2015).
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Allowance for the nonlocal interaction of plasmonic particles in the discrete sources method. (English. Russian original) Zbl 1329.82152

Dokl. Math. 91, No. 2, 222-226 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 146-150 (2015).
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The Hamilton-Jacobi method in the non-Hamiltonian situation and the hydrodynamic substitution. (English. Russian original) Zbl 1326.34066

Dokl. Math. 91, No. 2, 154-157 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 136-139 (2015).
MSC:  34C20 34A34 34B20 37J05 82C05
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Generalized Bragg-Williams equation for systems with an arbitrary long-range interaction. (English. Russian original) Zbl 1327.82097

Dokl. Math. 90, No. 3, 784-787 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 6, 680-684 (2014).
MSC:  82D40
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On the choice of the time step and the probability of collision in numerical statistical modeling of particle transfer with an acceleration by an external force field. (English. Russian original) Zbl 1308.82058

Dokl. Math. 90, No. 2, 642-645 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 272-275 (2014).
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Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold. (English. Russian original) Zbl 1307.81041

Dokl. Math. 90, No. 2, 637-641 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 6, 636-640 (2014).
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Decomposition of the two-dimensional Nernst-Planck-Poisson equations for a ternary electrolyte. (English. Russian original) Zbl 1314.35179

Dokl. Math. 90, No. 2, 635-636 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 5, 526-527 (2014).
MSC:  35Q60 82C70 78A57
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Coordinate uncertainty principle in a generalized phase space. (English. Russian original) Zbl 1317.82048

Dokl. Math. 90, No. 2, 628-630 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 150-152 (2014).
MSC:  82C40 70B05
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New parallel Monte Carlo algorithms for computing the dynamics of charged particles in high-temperature plasma. (English. Russian original) Zbl 1306.82013

Dokl. Math. 89, No. 2, 230-234 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 6, 628-632 (2014).
MSC:  82C80 82D10 82C31 35Q82
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Solution of inverse problems by the \(\varepsilon\)-net method on high-performance computers. (English. Russian original) Zbl 1302.82138

Dokl. Math. 89, No. 2, 218-221 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 5, 516-520 (2014).
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Functional dependence between gas dynamics conservation laws corresponding to separation of variables. (English) Zbl 1304.35569

Dokl. Math. 89, No. 1, 124-127 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 6, 547-550 (2014).
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The critical value of the Maslov distribution of a sum of debts taking into account the debt durations. (English. Russian original) Zbl 1281.91176

Dokl. Math. 87, No. 3, 357-359 (2013); translation from Dokl. Akad. Nauk. 450, No. 6, 644-647 (2013).
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Mathematical modeling of energy release in a plasma vortex reactor. (English. Russian original) Zbl 1284.82060

Dokl. Math. 87, No. 3, 354-356 (2013); translation from Dokl. Akad. Nauk. 450, No. 1, 154-157 (2013).
MSC:  82D10
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On the topology of steady-state solutions of hydrodynamic and vortex consequences of the Vlasov equation and the Hamilton-Jacobi method. (English. Russian original) Zbl 1272.82034

Dokl. Math. 87, No. 2, 240-244 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 5, 521-526 (2013).
MSC:  82D10 35Q83
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Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation. (English. Russian summary) Zbl 1459.82272

Dokl. Math. 86, No. 3, 787-790 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 3, 265-268 (2012).
MSC:  82C41 60J80 60K35
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Explicit schemes and numerical simulation using ultrahigh-performance computer systems. (English. Russian original) Zbl 1393.82001

Dokl. Math. 86, No. 2, 681-683 (2012); translation from Dokl. Akad. Nauk. 446, No. 5, 501-503 (2012).
MSC:  82-08 82C80 65M06 76M20
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Branching processes with lattice spatial dynamics and a finite set of particle generation centers. (English. Russian original) Zbl 1270.60092

Dokl. Math. 86, No. 2, 638-641 (2012); translation from Dokl. Akad. Nauk. 446, No. 3, 259-262 (2012).
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Diffusion and quantum dynamics of particles with position-dependent mass. (English. Russian original) Zbl 1276.82065

Dokl. Math. 86, No. 1, 460-463 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 20-24 (2012).
MSC:  82D37 81Q05
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On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1266.60111

Dokl. Math. 85, No. 3, 350-354 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 3, 245-249 (2012).
MSC:  60H15 82C31
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On the uniqueness of integrable and probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1235.35274

Dokl. Math. 84, No. 1, 565-570 (2011); translation from Dokl. Akad. Nauk 439, No. 3, 323-328 (2011).
MSC:  35Q84 82C31 35A02
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Mathematical models of moving particles without overtaking. (English. Russian original) Zbl 1203.82048

Dokl. Math. 81, No. 3, 395-398 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 3, 304-307 (2010).
MSC:  82B41 82C70 60G50
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The relativistic Poincaré model. (English. Russian original) Zbl 1186.83023

Dokl. Math. 80, No. 2, 769-774 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 171-176 (2009).
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A proof of the Vershik-Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines. (English. Russian original) Zbl 1177.82059

Dokl. Math. 79, No. 2, 197-202 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 3, 299-304 (2009).
MSC:  82B41 60D05
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Spectral theory of root transfer matrices and its application to statistical models on a triangular lattice. (English. Russian original) Zbl 1151.82008

Dokl. Math. 77, No. 3, 460-462 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 601-603 (2008).
MSC:  82B20
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Integrable models of the longitudinal motion of electrons in curved \(3D\) nanotubes. (English. Russian original) Zbl 1327.82092

Dokl. Math. 75, No. 1, 147-152 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 4, 470-475 (2007).
MSC:  82D35 35Q40
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Importance modeling algorithms for solving nonlinear kinetic equations. (English. Russian original) Zbl 1154.82025

Dokl. Math. 76, No. 1, 502-505 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 415, No. 1, 26-30 (2007).
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Quantization of topological spaces of negative dimension, parastatistics, and distribution of dependent random variables. (English. Russian original) Zbl 1157.82034

Dokl. Math. 75, No. 3, 424-427 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 5, 587-690 (2007).
MSC:  82C31 60J60
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Application of the clipping procedure to the binary minimization of a quadratic functional. (English. Russian original) Zbl 1154.90563

Dokl. Math. 75, No. 2, 310-313 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 6, 730-733 (2007).
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Ultrasecondary Maslov quantization in the case of the Bardin-Cooper-Schrieffer model. (English. Russian original) Zbl 1327.82104

Dokl. Math. 73, No. 3, 457-459 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 6, 743-745 (2006).
MSC:  82D55 81S99
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Information entropy in problems of classical and quantum statistical mechanics. (English. Russian original) Zbl 1206.82054

Dokl. Math. 74, No. 3, 910-913 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 5, 587-590 (2006).
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Localization in space for a free particle in ultrametric quantum mechanics. (English. Russian original) Zbl 1209.81115

Dokl. Math. 74, No. 3, 906-909 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 319-322 (2006).
MSC:  81Q10 82B41 35S11
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Application of the canonical operator in thermodynamics. (English. Russian original) Zbl 1203.80002

Dokl. Math. 74, No. 3, 791-794 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 12-15 (2006).
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Dynamics of the Wigner and Weyl functions for open quantum systems with quadratic Hamiltonians. (English. Russian original) Zbl 1138.81465

Dokl. Math. 72, No. 2, 747-751 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 404, No. 5, 593-597 (2005).
MSC:  81S30 82C31 81S25
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