Dr. Andrei Gabrielov

Professor

E-mail: agabriel@math.purdue.edu

Curriculum Vitae <pdf>

Associated Website(s): http://www.math.purdue.edu/~agabriel

Education

Ph.D.- Moscow State University

Research Interests

Modeling of seismicity, earthquake prediction, nonlinear science, theoretical mathmatics.

Teaching Interests

EAS 591G Introduction to Continuum Mechanics

Professional Experience

  • 1995-.. Professor, Departments of Mathematics and Earth and Atmospheric Sciences, Purdue University.

  • 1990-94 - Senior Research Associate, International Institute of Earthquake Prediction and Mathematical Geophysics, Russian Academy of Sciences, Moscow.

  • 1973-89 - Senior Research Associate, Institute of Physics of the Earth, Academy of Sciences of the USSR, Moscow.

Selected Publications <More>

  • Zaliapin, I., Gabrielov, A., Keilis-Borok, V., Wong, H., Clustering analysis of seismicity and aftershock identification. Phys. Rev. Letters, v.101, 018501, 2008.

  • Eremenko, A., Gabrielov, A., and Shapiro, B., Zeros of eigenfunctions of some anharmonic oscillators. Ann. Inst. Fourier, v.58, 603-624, 2008.

  • Eremenko, A., Gabrielov, A., Shapiro, B., High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentials. Comput. Methods and Func. Theory, v. 8, 513-529, 2008.

  • Gabrielov, A., Counter-examples to quantifier elimination for fewnomial and exponential expressions. Moscow Math. J., v. 7, 453-460, 2007.

  • Gabrielov, A., Novikov, D., Shapiro, B., Mystery of point charges. Proc. London Math. Soc., v. 95, 443-472, 2007; doi:10.1112/plms/pdm012.

  • A. Gabrielov, V.I. Keilis-Borok, V. Pinsky, O.M. Podvigina, A. Shapira, V.A. Zheligovsky Fluid migration and dynamics of a blocks-and-faults system. Tectonophysics, v.429, p.229-251, 2007.

  • A. Eremenko, A. Gabrielov, M. Shapiro. A. Vainshtein Rational functions and real Schubert calculus. Proceedings of the AMS, v.134, p.949-957, 2006.

  • P. Shebalin, V. Keilis-Borok, A. Gabrielov, I. Zaliapin and D. Turcotte Short-term earthquake prediction by reverse analysis of lithosphere dynamics, Tectonophysics, v.413, p.63-75, 2006.

  • Ilya Zaliapin, Henry Wong and Andrei Gabrielov Hierarchical aggregation in percolation model, Tectonophysics, v.413, p.93-107, 2006.

  • G. Yakovlev, W.I. Newman, D.L. Turcotte, A. Gabrielov An inverse cascade model for self-organized complexity and natural hazards. Geophys J. Intnl, v.163, p.433-442, 2005.

  • I. Zaliapin, H. Wong, A. Gabrielov Inverse cascade in percolation model: hierarchical description of time-dependent scaling. Phys. Rev. E, v.71, 066118, 2005.