Random Media and Disordered Materials

  1. "Multiple Ginzburg-Landau Vortices Pinned by Randomly Distributed Small Holes" (with V. Mityushev and S. D. Ryan), submitted (2016), pdf.
  2. "Complexity reduction in many particles systems with random initial data" (with P.E. Jabin, M. Potomkin), SIAM/ASA Journal of Uncertainty Quantification, 4(1), pp. 446-474 (2016), pdf.
  3. "Rayleigh Approximation for ground states of the Bose and Coulomb glasses" (with S. D. Ryan, V. Mityushev, and V. M. Vinokur), Scientific Reports: Nature Publishing Group, 5, 7821 (2015), pdf.
  4. "Rise of Correlations of Transformation Strains in Random Polycrystals" (with O. Bruno and A. Novikov), SIAM J. Math. Analysis, v.40, n.4, pp. 15501584 (2008).
  5. "Ginzburg-Landau model of a liquid crystal with random inclusions" (with E. Khruslov), Journal of Mathematical Physics, 46, pp. 095107:1-15 (2005), pdf.
  6. "Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions" (with Y. Gorb and A. Novikov), in Lecture Notes in Computational Science and Engineering, editors B. Engquist, P. Lotstedt and O. Runborg, Springer Verlag (2004), pdf.
  7. "Increase and Decrease of the Effective Conductivity of Two Phase Composites due to Polydispersity" (with V. Mityushev), Journal of Statistical Physics, 118, 3/4 pp 481-509 (2005), pdf.
  8. "Random network model for heat transfer in high contrast composite materials" (with D. Gerenrot and J. Phillips), IEEE Transactions on Advanced Packaging, 26:4, pp. 410-417 (2003), pdf.
  9. "Generalized Clausius-Mosotti formula for random composite with circular fibers" (with V. Mityushev), Journal of Statistical Physics, 102, 1/2 pp. 115-145 (2001), pdf.
  10. "Asymmetric Strain-Stress Distribution Function for Crystal with Random Point Defects" In the book Homogenization, ed. V. Berdichevsky, V. Jikov and G. Papanicolaou, World Scientific, 179-192 (1999), pdf.
  11. "First-Passage Percolation, Semi-Directed Bernoulli Percolation, and Failure in Brittle Materials" (with M. Rintoul and S. Torquato) Journal of Statistical Physics, 91, 3/4, 603-623 (1998), pdf.
  12. "Non-Gaussian Limiting Behavior of the Percolation Threshold in a Large System" (with J.Wehr), Communications in Mathematical Physics, 185, 73-92 (1997), pdf.
  13. "The Probability Distribution of the Percolation Threshold in a Large System" (with J. Wehr), Journal of Physics A: Mathematics and General, 28:24, 7127-7133 (1995), pdf.
  14. "The accuracy of O'Doherty-Anstey approximation for wave propagation in highly disordered stratiffied media" (with R. Burridge), Wave Motion, 21:3, 357-373 (1995), pdf.
  15. "Exact Result for the Effective Conductivity of a Continuum Percolation Model" (with K. Golden), Physical Review B, 50 (4):2114-2117 (1994), pdf.
  16. "Exactly solvable random model and IR spectroscopy of strained defective lattice" (with N. Chukanov and V. Dubovitskii), Chemical Physics Letters, 181, No. 5:450-454 (1991), pdf.
  17. "The localization problem for a random elastic continuum with dispersion" (with S. Molchanov), Mathematics Notes, USSR Academy, 49, No. 3:346-348 (1991), pdf.