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Rodrigo A. Pérez, Ph.D.

     

Research

My research focuses on combinatorial aspects of complex dynamics and their applications to topological, geometric and group theoretic problems.

Publications & Professional Activities

  1. "A new partition identity coming from complex dynamics".
    (With G. Andrews)
    Ann. Comb, 9 #3, (2005), p. 245-257.
  2. "A count of maximal small copies in Multibrot sets".
    (With A. Bridy)
    Nonlinearity, 18 #5, (2005), p. 1945-1953.
  3. "Quadratic polynomials and combinatorics of the principal nest".
    Indiana Univ. Math. J, 54 #6, (2005), p. 1661-1695.
  4. "On the Growth of Iterated Monodromy Groups".
    (With K.-U. Bux)
    Contemp. Math. 394, (2006), p. 61-76.
  5. "Compositions versus cyclic compositions".
    JP J. Algebra Number Theory Appl, 12 #1, (2008), p. 41-48.
  6. "Real saddle-node bifurcation from the complex viewpoint".
    (With M. Misiurewicz)
    Conf. Geom. Dyn, 12, (2008), p. 97-108.
  7. "Existence of limit cycles in the repressilator equations".
    (With O. Buse and A. Kuznetsov)
    Internat. J. Bifur. Chaos Appl. Sci. Engrg, 19 #12, (2009), p. 4097-4106.
  8. "Dynamical properties of the repressilator model".
    (With O. Buse and A. Kuznetsov)
    Phys. Rev. E, 81066206, (2010).
  9. "A brief but historic article of Siegel".
    Notices Amer. Math. Soc. 58 #4, (2011), p. 558-566.
  10. "Control of cancellations that restrain the growth of a binomial recursion".
    (With M. Aspenberg)
    Submitted.

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