List of Publications

Economics  /  Applied Math  /  In progress

Economics

  1. A. Kaźmierczak, A. Shapoval, S. Weber, Unified Zipf-Gibrat Framework for City Formation and Growth: A Theory and Empirics behind the Core-Periphery Tiebout-Weibull Model, Networks and Spatial Economics, 2025, https://doi.org/10.1007/s11067-025-09693-z

  2. S.K. Chakrabarti, A. Shapoval, S. Weber, Games of Social Interactions with Externalities, Journal of Public Economic Theory, V. 27, e70021, 2025, https://doi.org/10.1111/jpet.70021

  3. M. Le Breton, A. Shapoval, S. Weber, A Game-Theoretical Model of the Landscape Theory, Journal of Mathematical Economics, 2021, V. 92, 41–46, https://doi.org/10.1016/j.jmateco.2020.11.004

  4. A. Shapoval, and V. Goncharenko, Industry Equilibrium and Welfare in Monopolistic Competition under Uncertainty, Journal of Economics, 2020, V. 130, 187–218, https://doi.org/10.1007/s00712-019-00687-3

  5. A. Shapoval, S. Weber, Z. Zakharov, Valence influence in electoral competition with rank objectives, International Journal of Game Theory, 2019, V. 48, 713–753, https://doi.org/10.1007/s00182-019-00659-3

  6. D. Davydov, A. Shapoval, S. Weber, Linguistic Equilibrium with Local and World Languages: Challenges of Globalization, World Economy, 2018, V. 41, https://doi.org/10.1111/twec.12645

  7. V. Goncharenko, A. Shapoval, Impact of Demand Structure and Market Size on Unemployment, Income Inequality, and Social Welfare, Journal of New Economic Association, 2018, V. 12, http://www.econorus.org/repec/journl/2018-37-12-33r.pdf

Applied Mathematics

  1. D. Sapozhnikov, A. Shapoval, M. Shnirman, Comparing Prediction Efficiency in the BTW and Manna Sandpiles, Scientific Reports, V. 14, 29529, 2024, https://doi.org/10.1038/s41598-024-80621-w

  2. B. Tadic, A. Shapoval, M. Shnirman, Signatures of self-organized dynamics in rapidly driven critical sandpiles, Physical Review E, V. 110, 054203, 2024, https://doi.org/10.1103/PhysRevE.110.054203

  3. A. Shapoval, M. Shnirman, Explanation of flicker noise with the Bak-Tang-Wiesenfeld model of self-organized criticality, Physical Review E, V. 110, 014106, 2024, https://doi.org/10.1103/PhysRevE.110.014106

  4. A. Savostianov, A. Shapoval, M. Shnirman, Impact of coupling on the road to synchronization of two coupled Van der Pol oscillators, Physica D: Nonlinear Phenomena, V. 463, 134166, 2024, https://doi.org/10.1016/j.physd.2024.134166

  5. M. Elaeva, E. Blanter, M. Shnirman, A. Shapoval, Asymmetry in the Kuramoto model with nonidentical coupling, Physical Review E, V. 107, 064201, 2023, https://doi.org/10.1103/PhysRevE.107.064201

  6. A. Shapoval, M. Shnirman, Recurrent Large Sunspot Structures and 27-Day Component of Solar Activity as Proxies to Axis-Nonsymmetry, Universe, V. 9, 271, 2023, https://doi.org/10.3390/universe9060271

  7. A. Shapoval, D. Savostianova, M. Shnirman, Universal Predictability of Large Avalanches in the Manna Sandpile Model, Chaos: An Interdisciplinary Journal of Nonlinear Science, V. 32, 083130, 2022, https://doi.org/10.1063/5.0102019

  8. A. Shapoval, The Contribution of Large Recurrent Sunspot Groups to Solar Activity: Empirical Evidence, Universe, V. 8, 180, 2022, https://doi.org/10.3390/universe8030180

  9. A. Shapoval, B. Shapoval, M. Shnirman, 1∕x Power-Law in a Close Proximity of the Bak–Tang–Wiesenfeld Sandpile, Scientific Reports, V. 11, 18151, 2021,
    https://doi.org/10.1038/s41598-021-97592-x

  10. A. Shapoval, D. Savostianova, M. Shnirman, Predictability and Scaling in a BTW Sandpile on a Self-Similar Lattice, Journal of Statistical Physics, 2021, V. 183, https://doi.org/10.1007/s10955-021-02744-y

  11. A. Shapoval, J.-L. Le Mouel, V. Courtillot, M. Shnirman, Influence of Very Large Spatial Heterogeneity on Estimates of Sea-Level Trends, Applied Mathematics and Computation, 2020, V. 386, 125485, https://doi.org/10.1016/j.amc.2020.125485

  12. A. Savostianov, A. Shapoval, M. Shnirman, Dynamics of Phase Synchronization between Solar Polar Magnetic Fields Assessed with Van Der Pol and Kuramoto Models, Entropy, 2020, V. 22, 945, https://doi.org/10.3390/e22090945

  13. A. Savostyanov, A. Shapoval, M. Shnirman, Reconstruction of the Coupling Between Solar Proxies: When Approaches Based on Kuramoto and Van der Pol models Agree with Each Other Communications in Nonlinear Science and Numerical Simulation, 2020, V. 83, 105149, https://doi.org/10.1016/j.cnsns.2019.105149

  14. A. Savostyanov, A. Shapoval, M. Shnirman, The inverse problem for the Kuramoto model of two nonlinear coupled oscillators driven by applications to solar activity Physica D: Nonlinear Phenomena, 2020, V. 401, 132160, https://doi.org/10.1016/j.physd.2019.132160

  15. D. Mukhametshina, A. Shapoval, M. Shnirman, Self-Organized Criticality on Self-Similar Lattice: Exponential Time Distribution between Extremes, CEUR Workshop Proceedings, 2019, 127–138, http://ceur-ws.org/Vol-2478/paper11.pdf

  16. A. Shapoval, J.-L. Le Mouel, M. G. Shnirman, V. Courtillot, Observational evidence in favor of scale free evolution of sunspot groups, Astronomy and Astrophysics, 2018, V. 618, A183, https://doi.org/10.1051/0004-6361/201832799

  17. A. Shapoval, J.-L. Le Mouel, M. G. Shnirman, V. Courtillot, Dynamics of sunspot series on time scales from days to years: correlation of sunspot births, variable lifetimes and evolution of the high-frequency spectral component, Journal of Geophysical Research: Space Physics, 2017, V. 122, 11874–11887, https://doi.org/10.1002/2017JA024430

  18. A. Shapoval and V. Goncharenko, Mismatch of Supply and Demand as a Response to Demand Uncertainty Journal of Mathematical Sciences, 2016, V. 216, 633–648.

  19. A. Shapoval, J.-L. Le Mouel, M. G. Shnirman, V. Courtillot, When Daily Sunspot Births Become Positively Correlated, Solar Physics, 2015, V. 290, 2709–2717, https://doi.org/10.1007/s11207-015-0778-9

  20. A. Shapoval, J.-L. Le Mouel, M. G. Shnirman, V. Courtillot, Stochastic description of the high-frequency content of daily sunspots and evidence for regime changes, Astrophysical Journal, 2015, V. 799, 56–63, http://iopscience.iop.org/article/10.1088/0004-637X/799/1/56

  21. A. Shapoval, J.-L. Le Mouel, V. Courtillot, M. G. Shnirman, Is a sudden increase of irregularity of sunspot numbers a precursor of a return to low solar activity?, J. Geophysical Research, 2014, V. 119, 6120–6130, https://doi.org/10.1002/2013JA019584

  22. A. Shapoval, J.-L. Le Mouel, M. G. Shnirman, V. Courtillot, Can irregularities of solar proxies help understand quasi-biennial solar variations?, Nonlinear Processes in Geophysics, 2014, V. 21, 797–813, https://doi.org/10.5194/npg-21-797-2014

  23. A. Shapoval, V. Courtillot, J.-L. Le Mouel, M. G. Shnirman, Two Regimes in the Regularity of Sunspot Number, Astrophysical Journal, 2013. V. 779, 108–116. https://doi.org/10.1088/0004-637X/779/2/108

  24. A. B. Shapoval, M. G. Shnirman, The BTW mechanism on a self-similar image of square: a path to unexpected exponents, Physica A: Statistical Mechanics and its Applications, 2012, V. 391, 8–14, https://doi.org/10.1016/j.physa.2011.08.020

  25. A. B. Shapoval Prediction problem for target events based on the inter-event waiting time, Physica A: Statistical Mechanics and its Applications, 2010, V. 389, 5145–5154, https://doi.org/10.1016/j.physa.2010.07.033

  26. M. G. Shnirman, A. B. Shapoval, Variable predictability in deterministic dissipative sandpile, Nonlinear Processes in Geophysics, 2010, V. 17, 85–91.

  27. A. B. Shapoval, M. G. Shnirman, A dissipative deterministic BTW model with an activation scenario of strong events, Izvestia, Physics of the Solid Earth, V. 45, 2009, 414–423.

  28. A. B. Shapoval, M. G. Shnirman, Prediction of the largest events in the sandpile model based on the earthquake precursors, Izvestia, Physics of the Solid Earth, V. 45, 2009, 406–413.

  29. V. B. Gisin, A. B. Shapoval, Two Agent Based Models and Market Stylized Facts, International J. of Pure and Applied Mathematics, 2008, V. 32, 521–527.

  30. A. B. Shapoval, M. G. Shnirman, Scenarios of large events in the sandpile model, Computational Seismology and Geodynamics, Ismail-Zade A. (ed.) American Geophysical Uninon, Washington D. C., 2008. V. 8, 179–183.

  31. A. B. Shapoval, M. G. Shnirman, Prediction Efficiency in an Avalanche Model for Different Target Events, Izvestia, Physics of the Solid Earth, V. 44, 2008, 495–500.

  32. A. B. Shapoval, M. G. Shnirman, Sand density as sandpile descriptor, International J. of Modern Physics C, 2008, V. 19, 995–1006.

  33. A. B. Shapoval, M. G. Shnirman, Randomness and step-like distribution of pile heights in avalanche models, European Physical J. B, 2007, V. 59, 399–403.

  34. A. B. Shapoval, M. G. Shnirman, How Size of Target Avalanches Influences Prediction Efficiency International J. Modern Physics C, V. 17, № 12, 2006, 1777–1790.

  35. A. B. Shapoval, M. G. Shnirman, Crossover Phenomenon and Universality: from Random Walk to Deterministic Sand-Piles, International J. Modern Physics C, V. 16, № 12, 2005, 1893–1907.

  36. A. B. Shapoval, M. G. Shnirman, Scaling Properties of Strong Avalanches in Sand-Pile, International J. Modern Physics C, V. 16, № 2, 2005, 341–348.

  37. A. B. Shapoval, M. G. Shnirman, Strong Events in the Sand-Pile Model, International J. Modern Physics C, V. 15, № 2, 2004, 279–288.

In progress

  1. K. Butaeva, S. Durlauf, A. Shapoval, Intergenerational Mobility in Qing Dynasty China, in preparation.

  2. V. Goncharenko, D.A. Pokrovsky, A. Shapoval, The Stable Coexistence of Oligopolies and the Competitive Fringe, NRU Higher School of Economics, Series WP BRP "Economics/EC", No. 196, 2018, https://www.hse.ru/data/2018/07/25/1152373664/196EC2018.pdf

email: abshapoval\(@\)gmail.com

Ars longa vita brevis