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A.L. Talapov,
L.N. Shchur, V.B. Andreichenko and V.S. Dotsenko, Cluster Algorithm
Special Purpose Processor, Mod. Phys. Lett. B6 (1992) 1111-1119
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A.L. Talapov
and V.B. Andreichenko and V.S. Dotsenko,
L.N. Shchur, Special
Purpose Computers for the random Ising model, in Springer Proceedings
in Physics vol.53, Eds. D.P. Landau, K.K. Mon, and H.B. Schuettler,
(Springer Verlag, Heidelberg, Berlin, 1992),
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A.L. Talapov,
V.B. Andreichenko, V.S. Dotsenko and L.N. Shchur, First Cluster
Algorithm Special Purpose Processor, Int.J.Mod.Phys. C4 (1993)
787-804
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W. Selke, A.L.
Talapov and L.N. Shchur, Cluster-flipping Monte-Carlo algorithm
and correlations in "good" random number generators, Pis'ma ZhETF,
58
(1993) 684-686 and JETP Lett., 58 (1993) 665-668
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A.L. Talapov
and L.N. Shchur, Critical-Point Correlation Function for the 2D
Random Bond Ising Model, Europhys.Lett., 27 (1994) 193-196, hep-lat/9404002
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A.L. Talapov
and L.N. Shchur, The critical region of the
random-bond Ising model, J. Phys.: Cond. Matt., 6 (1994)
8295-8308, hep-lat/9404011
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W. Selke, L.N.
Shchur and A.L. Talapov, Monte Carlo simulations of dilute Ising
model, in Annual Reviews of Computational Physics I, edited by
D. Stauffer (1995), World Scientific
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A.L. Talapov,
L.N. Shchur and H.W.J. Bloete,
Cluster algorithm special purpose
computer for the three-dimensional Ising model, Pis'ma ZhETF,
62
(1995) 157-164 and JETP Lett., 62 (1995) 174-181
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S.L. Talapov and H.W.J.
Blote, The magnetization of the
3D Ising model,
J.
Phys. A: Math. Gen. 29 (1996) 5727-5733
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X. S. Chen, V. Dohm and A.
L. Talapov, Comparison between
finite-size field theory and Monte Carlo simulations for the three-dimensional
Ising model,
Physica A 232 (1996) 375-396
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L.N. Shchur,
J.R. Heringa and H.W.J. Bloete,
A correlation
effect in a directed random-walk model: The effect of pseudo-random-number
correlations, Physica A
241 (1997) 579-592, cond-mat/9612227
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L.N. Shchur and
S.S. Kosyakov, Probability of incipient spanning
clusters in critical square bond percolation,
Int. J. Mod. Phys.
C 8 (1997) 473-481,
cond-mat/9702248
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L.N. Shchur and
H. Bloete,
Cluster Monte Carlo: Scaling of
Systematic Errors in 2D Ising Model,
Phys. Rev. E 55 (1997)
R4905-4908, cond-mat/9703050
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L.N. Shchur,
S.S. Kosyakov, Probability of incipient
spanning clusters in critical two-dimensional percolation,
Nucl.Phys.
B - Proc. Suppl. 63 (1998) 664-666, cond-mat/9802082
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L.N. Shchur,
P. Butera, The RANLUX
generator: Resonances
in a random walk test, Int. J. Mod. Phys. C 9 (1998) 607-624,
hep-lat/9805017
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W. Selke, L.N.
Shchur and O.A. Vasilyev, Specific heat of two-dimensional diluted magnets,
Physica A 259 (1998)
388-396, cond-mat/9804183
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L.N. Shchur,
On
the quality of random number generators with taps,
Comp. Phys.
Comm,
121-122 (1999) 83-85, hep-lat/0201015
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H.W.J. Bloete,
L.N. Shchur and A.L. Talapov,
The Cluster Processor: New Results,
Int. J. Mod. Phys. C 10 (1999)
1137-1148, cond-mat/9912005
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L.N. Shchur,
Incipient
Spanning Clusters in Square and Cubic Percolation, in Springer
Proceedings in Physics vol.85, Eds. D.P. Landau, S.P. Lewis, and
H.B. Schuettler, (Springer Verlag, Heidelberg, Berlin, 2000), cond-mat/9906013
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О.А. Васильев
и Л.Н. Щур, Универсальность отношения критических
амплитуд восприимчивости двумерной модели Изинга с немагнитными примесями,
ЖЭТФ 117 (2000) 1110-1121 and translation - O.A. Vasilyev and
L.N. Shchur, Universality of the Ratio
of the Critical Amplitudes of the Susceptibility of a Two-Dimensional Ising
Model with Nonmagnetic Impurities, JETP 90 (2000)
964-973
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L.N. Shchur and
O.A. Vasilyev, Number of bonds in site-diluted lattices: sampling
and fluctuations,cond-mat/0005448
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C. Chatelain,
B. Berche, and L.N. Shchur, Quenced bond
dilution in two-dimensional Potts models,
J. Phys. A. 34
(2001) 9593-9614, cond-mat/0108014
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L.N. Shchur,
P. Butera, and B. Berche, Susceptibility
amplitude ratio in the two-dimensional three-state Potts model,
Nuclear Physics B, 620 (2002) 579-587, cond-mat/0108005
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L.N. Shchur and
O.A. Vasilyev, The critical amplitude ratio
of the susceptibility in the random-site two-dimensional Ising model,
Phys. Rev. E 65 (2002) 016107, cond-mat/0108369
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L.N. Shchur,
On
the distribution function of the information speed in computer network,
Comp. Phys. Comm. 147 (2002) 595-599, cond-mat/0202229
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Т.А. Ростунов
и Л.Н. Щур, О ранних стадиях генерации двумерных
структур методом динамики конформных отображений Хастингса-Левитова,
ЖЭТФ
122 (2002) 164-174 and translation - T.A. Rostunov and L.N.
Shchur,
On the early stages of the generation
of the two-dimensional structures by the conformal mapping of Hastings-Levitov,
JETP 95 (2002) 145-153
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L.N. Shchur and
T.A. Rostunov, Comment on ``Dimension of fractal growth patterns
as a dynamical exponent'', submitted to Phys. Rev. Lett. 12-April-2002
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L.N. Shchur and
R.M. Ziff, On the finite-size corrections to the spanning probability,
in preparation
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L.N. Shchur and
T.A. Rostunov, On the Aizenman exponent in critical percolation,
Письма в ЖЭТФ 76 (2002) 553-558, cond-mat/0207605,
Power
Point Presentation
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B.
Berche, L. N. Shchur,
Numerical investigation of logarithmic corrections in two-dimensional spin
models, русское
издание: Письма в ЖЭТФ 79 (2004) 267-271,
English edition: JETP Letters 79(5) (2004) 267-271, arxiv.org: cond-mat/0402192
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L.N. Shchur, M.A. Novotny,
Evolution of time horizons in parallel and grid simulations,
Phys. Rev. E 70 (2004) 026703, arxiv.org: cond-mat/0401229,
Power
Point Presentation
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Л.Ю. Бараш
Алгоритм AKS
проверки чисел на простоту и поиск констант генераторов псевдослучайных чисел,
Безопасность информационных технологий, 2 (2005) 27-38.
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Л.Ю. Бараш
Гиперболические автоморфизмы тора
и генераторы случайных чисел, МФТИ, ИТФ им. Л.Д.Ландау РАН, Дипломная работа по кафедре проблем
теоретической физики, Черноголовка, 2004
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L. Barash, L. N. Shchur,
Periodic orbits of
the ensemble of Sinai-Arnold cat maps and pseudorandom number generation, arxiv.org:
physics/0409069,
Phys. Rev. E 73, 036701 (2006)
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L. N.
Shchur, V. M. Vinokur,
Comment on "Why Do Gallium Clusters Have a Higher
Melting Point than the Bulk?",
arxiv.org:
cond-mat/0412032
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A. Yu.
Menshutin, L. N. Shchur,
Test of multiscaling in DLA model using an
off-lattice killing-free algorithm,
arxiv.org:
cond-mat/0504338,
Phys. Rev. E 73 (2006) 011407
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W. Selke
and L.N. Shchur, Critical Binder cumulant in two-dimensional
anisotropic Ising models, J. Phys. A 38 (2005) L739-L744, arxiv.org: cond-mat/0509369
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A.Yu
Menshutin, L.N. Shchur, V.M. Vinokur,
Probing surface
characteristics of diffusion-limited-aggregation clusters with particles of
variable size, Phys. Rev. E 75 (2007) 010401 (R),
arxiv.org:
cond-mat/0611005
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L. Shchur,
B. Berche, P. Butera,
A study of logarithmic
corrections and universal amplitude ratios in the two-dimensional 4-state
Potts model, EPL, 81 (2008) 30008,
arXiv:0707.2430v1
[cond-mat.stat-mech]
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B. Berche,
P. Butera, L. Shchur,
Logarithmic corrections and universal
amplitude ratios in the 4-state Potts model, arXiv:0707.3317v1 [cond-mat.stat-mech]
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Lev N. Shchur, Bertrand
Berche, Paolo Butera,
High-precision determination of universal amplitude ratios for the q=3 Potts
model in 2d, Phys. Rev. B 77, 144410 (2008), arXiv:0801.2719
[cond-mat.stat-mech]
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Л.Ю. Бараш, Л.Н. Щур,
Моделирование испарения
капли капиллярного размера и образования двумерных мембран из наночастиц,
тезисы доклада на конференции ММПСН-2008 (Многомасштабное моделирование
процессов и структур в нанотехнологиях), Москва, 12-14 марта 2008 года
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A.Yu. Menshutin, L.N. Shchur, and V.M. Vinokour,
Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles,
Physica A: Statistical Mechanics and its Applications,
Volume 387, Issue 25, 1 November 2008, Pages 6299-6309, arXiv:0810.0126 [cond-mat.stat-mech].
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L.N. Shchur, B. Berche, P. Butera,
Numerical revision of the universal amplitude ratios for the two-dimensional
4-state Potts model,
arXiv:0809.4553 [cond-mat.stat-mech].
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B. Berche, P. Butera, W. Janke, L. Shchur,
Universal ratios of critical amplitudes in the Potts model universality class,
arXiv:0809.5045 [cond-mat.stat-mech].
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