ALEXANDR SHAPOVAL
 
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    List of publications
  1. A. Shapoval, On the Behaviour of Solutions of Quasilinear Elliptic Inequalities in an Unbounded Domain, Math. Notes V. 60, No 4 415 - 424 (1996) translation from Mat. Zametki V. 60, No 4 556 - 568 (1996)
  2. A. Shapoval, The Integral Manifold for Nonautonomous Nonlinear Parabolic Equations in an Unbounded Domain, Russ. Math. Surveys No 2 (1996) p. 929; translation from Uspehi Mat. Nauk No 5 (1996)
  3. A. Shapoval, On Inertial Manifold of a Nonautonomous Evolution Differential Equation, Math. Notes V. 61, No 2 (1997) translation from Mat. Zametki V. 61, No 2 317 - 320 (1997)
  4. A. Shapoval, The Integral Manifold of a Nonlinear Elliptic Equation in a Cylinder, Math. Notes V. 61 No 3 391 -395 (1997); translation from Mat. Zametki V. 61, No 3 476 - 480 (1997)
  5. A. Shapoval, Liouville's Theorem for an Elliptic Equation of the Second Order with Degenerating Coefficients (in Russian), Vestnik Moskovskogo Universiteta, Ser. 1, Matematika, Mehanika No 2 21 - 26 (1998)
  6. A. Shapoval, Integral Manifolds of Nonlinear Elliptic Equations with a Small Parameter, Russ. Math. Surveys V. 53, No 4 827 (1998); translation from Uspehi Mat. Nauk No 5 175 (1996)
  7. A. Shapoval, On Boundness of one Class of Quasilinear Parabolic Inequalities Solutions, Diff. Eq. V. 36, No 6 845 - 847 (1998); translation from Diff. Uravneniya V. 36, No 6 844 - 845 (1998)
  8. A. Shapoval, Growth of Solutions of Non-linear Degenerating Elliptic Inequalities in Unbounded Domains, (in Russian), Vestnik Moskovskogo Universiteta, Ser. 1, Matematika, Mehanika No 3 3 - 7 (2000)
  9. A. Shapoval, and M. Shnirman, Prediction in a Two-polarity Model of Sandpile Type, Comp. Seism. V. 32 225 - 236 (2001)
  10. A. Shapoval, Attractors of nonlinear elliptic equations with a small parameter, Diff. Eq. V. 37, No 9 1303 -1314 (2001); transl. from Diff. Uravnenia V. 37, No 12 (2001)
  11. A. Shapoval, M. Shnirman, Scenarios of Large Events in the Sand-pile Model (in Russian), Comp. Seism. V. 33 267 - 277 (2002) abstract (pdf)
  12. A. Shapoval, M. Shnirman, Strong Events in the Sand-Pile Model, Int. J. Mod. Phys. C, V. 15 No 2 279 - 288 (2004) abstract
  13. A. Shapoval, M. Shnirman, On Totality of the Strongest Events in the Sand-Pile (in Russian), Comp. Seism. V. 35 258 - 266 (2004)
  14. A. Shapoval, M. Shnirman, Scaling Properties of Strong Avalanches in Sand-Pile, Int. J. Mod. Phys. C, V. 16 No 2 341 - 348 (2005) abstract
  15. A. Shapoval, M. Shnirman, Crossover Phenomenon and Universality: From Random Walk to Deterministic Sand-Piles Through Random Sand-Piles, Int. J. Mod. Phys. C, V. 16 No 12 1893 - 1908 (2005)
  16. A. Shapoval, M. Shnirman, How Size of Target Avalanches Influences Prediction Efficiency, Int. J. Mod. Phys. C, V. 17 No 12, 1777 - 1790 (2006) abstract
  17. A. Shapoval, M. Shnirman, Randmoness and Step-like Distribution of Pile Heights in Avalanche Models, arXiv.org:cond-mat/0605705, Eur. Phys. J. B, 59, 399 - 403 (2007) Citebase page
  18. A. Shapoval, Investments: Mathematical Methods (in Russian), Forum, INFRA-M 96 pp. (2007)
  19. A. Shapoval, M. Shnirman, Prediction Efficiency in an Avalanche Model for Different Target Events Izvestia, Physics of Solid Earth, V. 44, No 6, 495 - 500 (2008), DOI: 10.1134/S1069351308060050; transl. from Phizika Zemli, No 6, 61 - 67 (2008).
  20. V. Gisin, A. Shapoval, Two Agent Based Models and Market Stylized Facts, Int. J. of Pure and Applied Math. V. 32, No 4 (2008), 521 - 527
  21. A. Shapoval, M. Shnirman, Sand Density as Sandpile Descriptor, Int. J. Mod. Phys. C V. 19, No 6, 2008, 995-1006
  22. A. Shapoval, M. Shnirman, Earthquake precursors used for predicting the largest events in the avalanche formation model, Izvestia, Physics of the Solid Earth V. 45, 2009, 406-413, transl. from Phizika Zemli, No 5, 2009, 39-46
  23. V. Popov, A. Shapoval, Investments: Mathematical Methods (in Russian), 2nd edition, Forum, INFRA-M 144 pp. (2008)
  24. V. Gisin, A. Shapoval, E. Luneva, Agent-based models of the stock market (in Russian) Vestnik Finansovoj Academii V. 48, No 4, 2008, 57-67
  25. A. Shapoval, M. Shnirman, A dissipative deterministic BTW model with an activation scenario of strong events, Izvestia, Physics of the Solid Earth V. 45, 2009, 414-423, transl. from Phizika Zemli, No 5, 2009, 47-56
  26. A. Shapoval, Predictability of the stock indices biggest falls, In Mathematics. Computer. Education, V. 16, 2009 P. 329
  27. A. Shapoval, M. Shnirman, Variable predictability in deterministic dissipative sandpile, Nonlin. Processes Geophys., V 17, 2010, 85-91
  28. A. Shapoval, Prediction problem for target events based on the inter-event waiting time, Physica A V. 389, 2010, 5145-5154
  29. A. Shapoval, M. Shnirman, On universality of algorithms predicting extreme events in complex systems (in Russian), Informatsionnye tekhnologii i vychislitel'nye sistemy, No 1, 2011, 24-34
  30. A. Shapoval Stability of a stationary critical state in a model of cluster formation (in Russian), Izvestia VUZov: Prikladnaya nelinejnaya dinamika, V 19, 2011, 45-55
  31. A. Shapoval, V. Popov, Numerical-analytical algorithm for estimating the predictability of crashes (in Russian), Matematicheskoe modelirovanie, V 23, 2011, 65-74
  32. A. Shapoval, M. Shnirman, The BTW mechanism on a self-similar image of square: a path to unexpected exponents, Physica A V. 391, 2012, 15-20
  33. A. Kazaryan, A. Shapoval, Time clusterring of stock indicies’ big fall (in Russian), PComputer Research and Modeling V. 4, 2012, 631-638