Algorithmic Information Theory and Foundations of Probability Reachability Problems Third International Workshop, RP 2009, Palaiseau, France, September 23-25, 2009, Proceedings Lecture Notes in Computer Science Vol. 5797
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On the history of martingales in the study of randomness, Journal Elecronique d"Histoire des Probabilites et de la Statistique, ISSN 1773-0074.
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Algorithmic information theory and martingales. [A historic account] arxiv 0906.2614
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Algorithmic randomness and splitting of supermartingales, arxiv 0807.3156 Проблемы передачи информации, 2009, 45:1, 60-70. English version: Problems of Information Transmission, 2009, 45:1, 54-64.
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Limit complexities revisited. Proceedings of STACS 2008 conference, p.73-84, http://drops.dagstuhl.de/opus/volltexte/2008/1335 Theory of Computing Systems, DOI 10.1007/s00224-009-9203-9, 17 March 2009.
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English version: N.Vereshchagin, A.Shen. Computable functions. Published by AMS, 2003. MR 2004b:03002
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English version: N.Vereshchagin, A.Shen. Basic set theory. Published by AMS, 2002. MR 2003f:03001
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A simple proof of Miller--Yu theorem. Fundamenta Informaticae, vol. 83, no. 1--2 (2008), p.21-24.
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Prequential Randomness, Algorithmic Learning Theory, 19th International Conference (ALT 2008), Budapest, Hungary, Oct. 13--16, 2008, p.~154--168.
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On-line Probability, Complexity and Randomness. Algorithmic Learning Theory, 19th International Conference (ALT 2008), Budapest, Hungary, Oct. 13--16, 2008, Lecture Notes in Computer Science, v.~5254, p.~138--153.
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Программирование: теоремы и задачи. Третье издание: МЦНМО, 2007. English version: "Algorithms and Programming: Problems and Solutions" published by Birkhauser in 1997. 2nd ed. 2008 (Modern Classics, Birkhauser), 3rd ed. 2009 (Springer).
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Partitioning multi-dimensional sets in a small number of ``uniform"" parts. ECCC Report, TR05-95, European Journal of Combinatorics, Volume 28, Issue 1, January 2007, p. 134--144. doi:10.1016/j.ejc.2005.08.002 MR2261810
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A.Muchnik, A.Shen, N.Vereshchagin, M.Vyugin. Non-reducible descriptions for conditional Kolmogorov complexity. ECCC Report, TR04-054, Jun 29, 2004 See also: Theory and Applications of Models of Computation, Lecture Notes in Computer Science, Springer Berlin/Heidelberg, 3959 (2006), p.308-317 (a talk given in Beijing conference, May 2006). MR2277252 Extended version: Andrej Muchnik, Alexander Shen, Mikhail Ustinov, Nikolai Vereshchagin, Michael Vyugin, Non-reducible descriptions for conditional Kolmogorov complexity. Theoretical Computer Science, 2007, 384 (1), 77--86.
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Multisource information theory ECCC Report, TR06-006. Also published: Dagstuhl seminar 06051, http://drops.dagstuhl.de/opus/volltexte/2006/626 See also: Theory and Applications of Models of Computation, Lecture Notes in Computer Science, Springer Berlin/Heidelberg, 3959 (2006), p. 327-338. (a talk given in Beijing conference, May 2006). MR2277254
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B.Durand, L.A.Levin, A.Shen. Local rules and global order, or Aperiodic Tilings. Mathematical Intelligencer, 2005, v. 27, no.1, p. 64-68. MR 2006c:52058
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Logical operations and Kolmogorov complexity ECCC-088, 2001; Theoretical Computer Science, 271 (1--2), p. 125--129 (2002) MR 2002k:68080
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A. Romashchenko, A. Shen, N. Vereshchagin, Combinatorial interpretation of Kolmogorov complexity, ECCC 7(26):2000; 15th Annual IEEE conference on Computational Complexity (Florence, 2000), 131-137, IEEE Computer Soc., Los Alamitos, CA, 2000; MR1823533. TCS 271 (1--2): p. 111--123 (2002). MR 2003d:68104
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IP=PSPACE: simplified proof. Journal of the ACM, 39, no.4 (Oct. 1992), p. 878--880. MR 94j:68270
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Translation: V.A.Uspensky, A.L.Semenov, A.Shen. Can a single sequence of zeros and ones be random? Russian Math. Surveys, 45:1 (1990), 121--189. MR 91f:03043
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Algorithmic variants of the notion of entropy. Ph.D. thesis.
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