Olga Gorkusha

Senior Researcher
E-mail address:  olga.gorkusha007@gmail.com
Phone.: +7(4212) 45-69-11
Fax: +7(4212) 32-46-76


I have graduated with my Master Degree in Mathematics from Far Eastern Federal University University (Russia) and with my Ph.D. from Moscow State Pedagogical University (Moscow). My research focus is in number theory, arithmetic geometry and computational nanotechnology.

Publications and Preprints

Number Theory

  1. Conjugate minima of lattices. (with V.A. Bykovskii). Far Eastern Mathematical Journal, 1999, 7, 18-21. (pdf 178 kb, in Russian).
  2. Reduction of bases of three-dimensional lattices. Far Eastern Mathematical Journal, 1999, 7, 22 - 29. (pdf 155 kb, in Russian).
  3. Minimal systems of three-dimensional lattices. (with V.A. Bykovskii). Sbornik: Mathematics, 192:2 (2001), 57 - 66. (pdf 173 kb, in Russian).
  4. Minimal bases of three-dimensional lattices. Mathematical Notes, 69:3 (2001), 353 - 362. (pdf 189 kb, in Russian).
  5. Criterion of an finite of a set of local minima of a lattice. Chebyshevskii Sb., 5:3(11) (2004), 81 - 88. (pdf 146 kb, in Russian).
  6. On the estimates hyperbolic zeta-function of lattices. (with N.M. Dobrovolskii). Chebyshevskii Sb., 8:2(14) (2005), 129 - 137. (pdf 216 kb, in Russian).
  7. On the finite continued fractions of a special kind. Chebyshevskii Sb., 9:1(25) (2008), 80 - 107. (pdf 325 kb, in Russian).
  8. Asymptotic formula for a mathematical expectation of finite elliptic fractions of Minkowski. Chebyshevskii Sb., 2(34) (2010), 4 - 24. (pdf 311 kb, in Russian).
  9. On average length of diagonal fractions of Minkowski. Far Eastern Mathematical Journal, 11:1 (2011), 11 - 28. (pdf 622 kb, in Russian).
  10. Some metric properties of $\Omega$ - fractions. Chebyshevskii Sb., 2(42) (2012), 28 - 53. (pdf 0.98 Mb, in Russian).
  11. Approximation of numbers by $\Omega$-fractions. Chebyshevskii Sb., 4(14) (2013), 95 - 100. (pdf 117 kb, in Russian).
  12. Simultaneous distribution of primitive lattice points in convex planar domain. Chebyshevskii Sb., 16:1 (2015), 163-175. (pdf 359 kb, in Russian).
  13. Simultaneous distribution of primitive lattice points in convex planar domain. Moscow Journal of Combinatorics and Number Theory, 7:1 (2017). (Link to the Journal, pdf 114 kb).

Computational nanotechnology

  1. A Simple Quantum Mechanics Way to Simulate Nanoparticles and Nanosystems without Calculation of Wave Functions. International Scholarly Research Network ISRN Nanomaterials, Vol. 2012, Article ID 531965, doi:10.5402/2012/531965, 3 pages. (with V.G. Zavodinskii). (Link to the Journal, pdf 443 kb).
  2. Quantum mechanical modeling without wave functions. Physics of the Solid State, 56:11 (2014), 2253 - 2258. (with V.G. Zavodinskii). (Link to the Journal, pdf 320 kb, in Russian).
  3. A Practical Way to Develop the Orbital-free Density Functional Calculations. Physical Science International Journal, 4(6) (2014), 880-891. (with V.G. Zavodinskii). (Link to the Journal, pdf 415 kb).
  4. On the way to modeling of big nanosystems at the nuclear level. Journal Computational Nanotechnology, 1 (2014). (with V.G. Zavodinskii). (Link to the Journal).
  5. New Orbital-Free Approach for Density Functional Modeling of Large Molecules and Nanoparticles. Modeling and Numerical Simulation of Material Science, vol. 5, 2015, pp. 39-47. (with V.G. Zavodinskii). (Link to the Journal, pdf 591 kb).
  6. A simple Physical Model of River Meandering. Journal of Geography, Environment and Earth Science International, 1(1):1-8, 204; No. JGEESI.2014.001. (with V.G. Zavodinskii). (Link to the Journal, pdf 384 kb).
  7. On the Nature of "Periodic" River Bends. Water Resources, 2016, Vol. 43, No. 1, pp. 73-78. (with V.G. Zavodinskii).
    (Link to the Journal).
  8. Development of the Orbital-Free Density Functional Approach: The Problem of Angles between Covalent Bonds. Modeling and Numerical Simulation of Material Science, 2016, 6, 11 - 16. (with V. Zavodinskii). (Link to the Journal, pdf 514 kb).
  9. Development of orbital-free approach for simulation of multi-atomic nanosystems with covalent bonds. Nanosystems: Physics, Chemistry, Mathematics, 7:3 (2016), 427-432. (with V.G. Zavodinskii). (Link to the Journal).
  10. Orbital-Free Pseudopotential Approach for Simulation of Multi-Atomic Systems with Covalent Bonds. International Journal of Scientific Research in Science and Technology (IJSRST), 2:3 (2016), 244-251. (with V.G. Zavodinskii). (Link to the Journal).
  11. New Orbital Free Simulation Method Based on the Density Functional Theory. Applied and Computational Mathematics, 6(4) (2017), DOI 10.11648/j.acm.20170604.16. (with V.G. Zavodinskii). (pdf 243 kb).
  12. Energetics of carbon nanotubes with open edges: Modeling and experiment. Nanosystems: Physics, Chemistry, Mathematics, 8(5) (2017), DOI 10.17586/2220-8054-2017-8-5-635-640. (with V.G. Zavodinskii and A.P. Kuz'menko). (pdf 660 kb).
  13. Orbital-free Modelling Method for Materials Contained Atoms with D-Electrons. International Journal of Scientific Research in Computer Science, Engineering and Information Technology, 3(7) (2018), 57-62. (with V.G. Zavodinskii). (pdf 512 kb).
  14. On the Calculation of the Interaction Potential in Multiatomic Systems. Computational Mathematics and Mathematical Physics, 59:2 (2019), 313321, ISSN 0965-5425 (with V.G. Zavodinskii).