М.Л. Бланк - Публикации

2017

Бланк М.Л., Ergodic averaging with and without invariant measures, Nonlinearity 30:12(2017), 4649-4664.
Бланк М.Л., Abundance of typical points in measurable dynamics, International Conference Contemporary mathematics in honor of the 80th birthday of Vladimir Arnold, Moscow, December 18-23, 2017.
Бланк М.Л., Dynamical Averaging with Respect to a Non-Invariant Measure"", Book of abstracts. The 8th International Conference on Differential and Functional Differential Equations, Moscow, August 13-20, 2017 (DFDE-2017), p.27.

2016

Бланк М.Л., How to divide the indivisible, Doklady Akademii Nauk, 471:6(2016), 635–639. Doklady Mathematics, 94:3(2016), 688–691.
Бланк М.Л., Typical points in chaotic dynamics, Book of abstracts. International conference “Anosov Systems and Modern Dynamics”, Moscow, December 19–23, 2016, pp.16-19.
Бланк М.Л., On ergodic averaging with and without invariant measure, Proceedings of VIII Moscow International Conference on Operations Research (ORM 2016) 17-22.10.16, p.208-209.
Бланк М.Л., Fresh look at fair division problems: case with a massive discrete component, Proceedings of VIII Moscow International Conference on Operations Research (ORM 2016) 17-22.10.16, p.89-90.
Бланк М.Л., Massive/meager sets of typical points, Mathematics, Theoretical Physics and Data Science 2016 (dedicated to anniversaries of Yakov Sinai and Grigory Margulis). July 5-7, (2016).
Бланк М.Л., The Problem of Fair Division for a Hybrid Resource, Problemy Peredachi Informacii, 52:3(2016), 108-116. Problems of Information Transmission, 52:3(2016), 201-209.
Бланк М.Л., On the Birkhoff theorem with respect to a non-invariant measure, Uspekhi Mat. Nauk, 71:3(2016), 199-200.
Бланк М.Л., Self-Organization under the Action of a Random Force, Doklady Akademii Nauk, 466:3(2016), 257-260. Doklady Mathematics, 93:1(2016), 1–4.

2015

Бланк М.Л., Dynamics of alternating functions, Doklady Akademii Nauk, 461:2(2015), 131-135. Doklady Mathematics, 91:2(2015), 150-153.

2014

Бланк М.Л., Ergodic properties of a chaotic collective walk governed by Anosov maps, Book of abstracts. The Seventh International Conference on Differential and Functional Differential Equations, August 22-29, 2014 (DFDE-2014)
Бланк М.Л., Ergodicity of a collective random walk on a circle, Nonlinearity, 27:5 (2014) 953-971.

2013

Бланк М.Л., Unique ergodicity of a collective random walk, Doklady Akademii Nauk, 448:6(2013), 629-632.
Бланк М.Л., Emergence of collective behavior in dynamical networks, Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 18:2(2013), 313-329
Бланк М.Л., Exclusion processes in models of transport flows, Introduction in mathematical modeling of transport flows, ed. A.V.Gasnikov (Second edition, revised and enlarged), M:MCNMO, 2013, pp.200-225

2012

Бланк М.Л., Local mean-field type perturbations of chaotic dynamical systems, International Conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold. Abstracts, Moscow 2012, 120-123.
Бланк М.Л., Stochastic stability of traffic maps, Nonlinearity, 25:12 (2012), 3389-3408.
Бланк М.Л., Discrete Time TASEP in Heterogeneous Continuum, Markov Processes Relat. Fields 18(2012), 531-552
Бланк М.Л., Condensation versus independence in weakly interacting CMLs, Intellectual Archive Bulletin, ISSN 1929-1329, July 2012, 17pp.
Бланк М.Л., Ergodicity of a collective random walk on a continuous circle, Probability theory and its applications, In Commemoration of the Centennial of B.V.Gnedenko, June 26-30, 2012, Book of Abstracts, 2012, 81-83.
Бланк М.Л., Nontrivial invariant measures and statistics for exclusion type processes, Doklady Akademii Nauk (Russia), 442:3(2012), 295-299.

2011

Бланк М.Л., Influence of obstacles to simple traffic flows, Ninth Internat. Conf. on Traffic and Granular Flows, Book of Abstracts, 2011, 324-327.
Бланк М.Л., Exclusion type spatially heterogeneous processes in continuum, J. Stat. Mech. (2011) P06016
Бланк М.Л., Self-Consistent Mappings and Systems of Interacting Particles, Doklady Akademii Nauk (Russia), 436:3(2011), 295-–298

2010

Бланк М.Л., Синхронно обновляемые процессы с запретами в моделях транспортных потоков ТРУДЫ МФТИ, 2:4(2010), 22-30.
Бланк М.Л., Exclusion processes with synchronous updates in transport flows modeling, In ``Introduction to mathematical modeling of traffic flows"", ed. A.V.Gasnikov i dr., M: MFTI, 2010, 385 с., ISBN 978-5-7417-0334-2
Бланк М.Л., Metric properties of discrete time exclusion type processes in continuum, J. Stat. Phys., 140:1(2010), 170-197
Бланк М.Л., Collective phenomena in lattices of weakly interacting maps, Doklady Akademii Nauk (Russia), 430:3(2010), 300–-304

2009

Blank M., Exclusion type processes in continuum, Dobrushin International Conference(Moscow) Proc., 2009, 21-26.
Blank M., Ergodic properties of exclusion type discrete time processes in continuum, Modern problems of mathematics, mechanics and their applications, 2009, 243.

2008

Бланк М.Л., Travelling with/against the Flow. Deterministic Diffusive Driven Systems, J. Statistical Physics, 133:4(2008), 773-796. [arXiv:0810.2205 math.DS]
Blank M., Finite rank approximations of expanding maps with neutral singularities, Discrete and Continuous Dyn. Systems, Ser A, 21:3(2008),749-762. [arXiv:0709.2564 math.DS]

2007

Бланк М.Л., On quasi-successful couplings of Markov processes, Problemy Peredachi Informacii, 43:4(2007), 51-67(Rus), pp.316-330(Eng) [math.PR/0610118]
Бланк М.Л., Finite rank approximations of chaotic systems with neutral singularities, International Conference “Analysis and Singularities” dedicated to the 70th anniversary of V.I.Arnold, Abstracts (2007), 122-124.

2006

Бланк М.Л., On raw coding of chaotic dynamics, Problems of Information Transmission, 42:1(2006), 64-68
Бланк М.Л., M. L. Blank, Leonid Bunimovich, ``Long range action in networks of chaotic elements"", Nonlinearity 19:2 (2006) 329-344. [math.DS/0505610]

2005

Бланк М.Л., Hysteresis phenomenon in deterministic traffic flows, J. Stat. Phys. 120: 3-4(2005), 627-658. [math.DS/0408240]

2004

Бланк М.Л., Лекции по эргодической теории необратимых отображений. МНЦМО, 2004
Бланк М.Л., M. L. Blank, Leonid Bunimovich, ``Switched flow systems: pseudo billiard dynamics"", Dynamical Systems, 19:4(2004), 359-370. [math.DS/0408241]

2003

Бланк М.Л., Operator approach in ergodic theory of systems with neutral singularities and random maps, in: Kolmogorov and contemporary mathematics (Moscow, June 16-21, 2003), 25
Бланк М.Л., Ergodic Properties of a Simple Deterministic Traffic Flow Model, J. Stat. Phys., 111:3-4(2003), 903-930. [math.DS/0206194]
Бланк М.Л., M. L. Blank, L. Bunimovich, ``Multicomponent dynamical systems: SRB measures and phase transitions"", Nonlinearity, 16:1(2003), 387-401. [math.DS/0202200]

2002

Бланк М.Л., M. L. Blank, G. Keller, C. Liverani, ``Ruelle-Perron-Frobenius spectrum for Anosov maps"", Nonlinearity, 15:6(2002), 1905-1973. [mp-arc/01-140 nlin.CD/0104031]

2001

Бланк М.Л., Dynamical spectrum for random maps and Ulam conjecture, in ""Fundamental mathematics today"", (2001), 8-9.
Бланк М.Л., Perron-Frobenius spectrum for random maps and its approximation,Moscow Math. J., 1:3 (2001), 315-344. [mp-arc/01-218]
Бланк М.Л., Устойчивость и локализация в хаотической динамике, МЦНМО, 351 стр., 2001.
Бланк М.Л., Spectral properties of left triangular matrices, Uspekhi Mat. Nauk, 56:1(2001), 155-156
Бланк М.Л., Dynamics of traffic jams: order and chaos, Moscow Math. J., 1:1 (2001), 1-26. [mp-arc/01-40]

2000

Бланк М.Л., Rigorous analysis of dynamical systems arising in models of traffic flows, Uspekhi Mat. Nauk, 50:3(2000), 167-168
Бланк М.Л., Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.), Markov Processes and Related Fields, 6:3(2000), 287-304. [mp-arc/00-122]

1997

Blank M., Discreteness and continuity in problems of chaotic dynamics, Amer. Math. Soc., 1997.

1985

Бланк М.Л., Гуковский Д.Э., Козякин В.С., Красносельский А.М., Марковская Т.С., Руда М.Я., Соболев А.В., Романов М.Ю., Разработка системы автоматической диагностики нарушений ритма сердца в реальном масштабе времени. Отчет отчет по теме 055 ВКНЦ АМН СССР, ВНТИЦентр, 81024272 (1985), 123 с.

1983

Красносельский А.М., Бланк М.Л., Козякин В.С., Марковская Т.С., Меркулова И.Н., Соболев А.В., Автоматическое выделение комплексов QRS по мониторному отведению ЭКГ, Тезисы докладов Всесоюзной конференции "Реализация математических методов с использованием ЭВМ в клинической и экспериментальной медицине", Москва, 1983, 117

1982

Blank M., Kozyakin V., Krasnosel'skii A., Markovskaya T., Merkulova I., Ruda M., Sobolev A., Automatic tracking of cardiac rhythm. Theses of the reports of the 1st Soviet-Finnish Symposium on use the minicomputers and microprocessors in medicine, Finland, Helsinki (1982), 1 p.

1981

Бланк М.Л., Гуковский Д.Э., Козякин В.С., Красносельский А.М., Руда М.Я., Соболев А.В., Об автоматизации мониторного слежения за сердечным ритмом больного. Теория и практика автоматизации электро кардиологических и клинических исследований, Тезисы 2-го Всесоюзного совещания, Каунас (1981), 14-15

1980

Бланк М.Л., Гуковский Д.Э., Козякин В.С., Красносельский А.М., Марковская Т.С., Соболев А.В., Экспериментальная система автоматического анализа сердечного ритма. Бюллетень ВКНЦ АМН СССР , 2 (1980), 81-84.

1979

Агаронян О.С., Бланк М.Л., Гуковский Д.Э., Давиденко А.В., Козякин В.С., Красносельский А.М., Марковская Т.С., Меркулова И.Н., Руда М.Я., Соболев А.В., Система автоматизированного анализа нарушений ритма по мониторному отведению ЭКГ палат интенсивного наблюдения. 3-й Всесоюзный съезд кардиологов, Тезисы докладов, Москва, 1979, c. 42

1977

Бланк М.Л., Гуковский Д.Э., Давиденко А.В., Козякин В.С., Марковская Т.С., Меркулова И.Н., Руда М.Я., Соболев А.В., О непрерывном автоматическом анализе сердечного ритма. Теория и практика автоматизации электрокардиологических исследований, Тезисы Всесоюзного совещания, Каунас (1977), 1 с.