May 7, 2018 Alejandro Martinez

Alejandro J. Martinez

Position title: Postdoc

Education training:

  • University of Oxford; DPhil. in Mathematics (2013 – 2018).
    • Research Topics: Complex Materials, Nonlinear Anderson Localization, Applied Mathematics, Scientific Computations, Nonlinear Dynamics, Anomalous Transport, Disorder.
    • Thesis Title: Disorder in Granular Crystals.
    • Supervisor: Prof. Mason Porter (Oxford/UCLA).
  • University of Chile; M.Sc. (with highest honors) in Physics (2010 – 2012).
    • Research Topics: Nonlinear Waves, Nonlinear Schrödinger Equation, Periodic and Aperiodic Systems.
    • Thesis Title: Discrete Surface Solitons in Periodic and Aperiodic Nonlinear Media.
    • Supervisor: Prof. Mario Molina.
  • University of Chile; B. Sc. (with honors) in Physics (2005 – 2009).

Research:

  • PUBLICATIONS IN REFEREED JOURNALS:
    1. E. Kim, AJM, S. E. Phenisee, P. G. Kevrekidis, M. A. Porter, and J. Yang, “Direct measurement of
      superdiffusive energy transport in disordered granular chains”, Nature Communications 9, 640 (2018).
    2. AJM, H. Yasuda, E. Kim, P. G. Kevrekidis, M. A. Porter, and J. Yang, “Scattering of waves by impurities
      in precompressed granular chains”, Phys. Rev. E 93, 052224 (2016).
    3. AJM, P. G. Kevrekidis, and Mason A. Porter, “Superdiffusive Transport and Energy Localization in
      Disordered Granular Crystals”, Phys. Rev. E 93, 022902 (2016).
    4. AJM and Yair Zárate, “Spatial storage of discrete dark solitons”, J. Opt. 17, 045506 (2015).
    5. AJM, Mario I. Molina, S. K. Turitsyn, and Y. S. Kivshar, “Nonlinear multi-core waveguiding structures
      with balanced gain and loss”, Phys. Rev. A, 91, 023822 (2015).
    6. Uta Naether, AJM, Diego Guzmán-Silva, Mario I. Molina, and Rodrigo A. Vicencio, “Self-trapping tran-
      sition in nonlinear cubic lattices”, Phys. Rev. E 87, 062914 (2013).
    7. Uta Naether, Santiago Rojas-Rojas, AJM, Simon Stützer, Andreas Tünnermann, Stefan Nolte, Mario I.
      Molina, Rodrigo A. Vicencio, and Alexander Szameit, “Enhanced distribution of a wave-packet in lattices
      with disorder and nonlinearity”, Opt. Express 21, 927 (2013).
    8. AJM and Mario I. Molina, “Diffusion in infinite and semi-infinite lattices with long-range coupling”, J.
      Phys. A: Math. Theor. 45, 275204 (2012).
    9. AJM, U. Naether, A. Szameit, and R. A. Vicencio, “Nonlinear localized modes in Glauber-Fock photonics
      lattices”, Opt. Lett. 37, 1865 (2012).
    10. AJM and Mario I. Molina, “Surface solitons in quasiperiodic nonlinear photonic lattices”, Phys. Rev. A
      85, 013807 (2012).
    11. AJM, Rodrigo A. Vicencio, and Mario I. Molina, “Strong asymmetry for surface modes in nonlinear lattices
      with long-range coupling”, Phys. Rev. A 82, 053820 (2010).
  • PAPERS SUBMITTED AND ACCEPTED:
    1. AJM, P. G. Kevrekidis, and M. A. Porter, “Quasiperiodic Granular Chains and Hofstadter Butterflies”,
      accepted in Phil. Trans. Roy. Soc. special issue on Nonlinear Energy Transfer in Dynamical and
      Acoustical Systems, arXiv:1801.09860.
    2. C. Chong, M. Molerón, AJM, M. A. Porter, P. G. Kevrekidis, and C. Daraio, “Nonlinear Excitations in
      Magnetic Lattices with Long-Range Interactions”, submitted, arXiv:1801.09560.
  • PUBLICATIONS IN CONFERENCES:
    1. D. Fuentealba, I. Soto, K. Liu, AJM, “Tracking system with VLC for underground mine using multi-agent systems”, First South American Colloquium on Visible Light Communications (SACVLC) (2017).
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