Publications & Conferences

Publications & Preprints

• Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs
  G. Mograby, M. Derevyagin, G. Dunne and A. Teplyaev
  Journal of Mathematical Physics 62, 042204 (2021)
  DOI: 10.1063/5.0025475
• Spectra of perfect state transfer Hamiltonians on fractal-like graphs
  G. Mograby, M. Derevyagin, G. Dunne and A. Teplyaev
  Journal of Physics A: Mathematical and Theoretical 54(12), 125301 (2021), DOI: 10.1088/1751-8121/abc4b9

• Perfect quantum state transfer on diamond fractal graphs
  M. Derevyagin, G. Mograby, G. Dunne and A. Teplyaev
  Quantum Information Processing 19, 328 (2020)
  DOI: 10.1007/s11128-020-02828-w
• Discretization of the Koch Snowflake Domain with Boundary and Interior Energies
  M. Gabbard, C. Lima, G. Mograby, L. Rogers, A. Teplyaev
  In “Fractals in Engineering: Theoretical Aspects and Numerical Approximations”, M.Lancia and A. Rozanova-Pierrat, Springer International Publishing, pp. 79–102 (2021)
  DOI:10.1007/978-3-030-61803-2.

• Harmonic Gradients on Higher Dimensional Sierpinski Gaskets
  L. Brown, G. Ferrer, G. Mograby, L. Rogers and K. Sangam
  Fractals 28(6), 2050108 (2020)
  DOI: 10.1142/S0218348X2050108X
• Spectral decimation of a self-similar version of almost Mathieu-type operators
  R. Balu, G. Mograby, K. Okoudjou, A. Teplyaev
  arXiv:2105.09896 ,2021 (submitted)
• Spectra of three-peg Hanoi towers graphs
  B. Hungar, G. Mograby, M. Phelps, L. Rogers and J. Wheeler
  arXiv:2107.02697, 2021 (submitted)
• Spectral decimation of piecewise centrosymmetric Jacobi operators
  R. Balu, G. Mograby, K. Okoudjou, A. Teplyaev, 2021 (In preparation)
• Gaps Labeling Theorem for the Bubble-Diamond Self-similar Graphs
  E. Melville, G. Mograby, N. Nagabandi, L. Rogers and A. Teplyaev, 2021 (In preparation)

Selected Conferences, Workshops & Talks

• May 2021: Workshop “Quasi-periodic spectral and topological analysis” University of Connecticut & Tufts University, USA.
• May 2018: Workshop “Transport and localization in random media: theory and applications” Columbia University, USA.
• Aug 2017: Co-organizer (with Luke Rogers, Phanuel Mariano) of “5th Northeast Mathematics Undergraduate Research Mini- Symposium” University of Connecticut, USA.
• June 2017: “6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals“, Cornell University, USA.
• Mar 2015: “Winter School on Diffusion on Fractals and Non-linear Dynamics“, University of Bremen, Germany.
• June 2014: “5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals“, Cornell University, USA.