Research Papers

The Dynamics of 2 and 3 Circle Inversion, To appear in Fundamenta Mathematicae

Singular Perturbations of zn  (with  R. L. Devaney, M. Holzer, M. Moreno Rocha, D. Uminsky). To appear in Transcendental Dynamics and Complex Analysis, London Math Society Lecture Notes Series, Vol. 348, Cambridge University Press, eds. P. Rippon and G. Stallard, (2008) 111-137.

Locally Sierpinski Julia Sets of Weierstrass Elliptic p Functions (with J. Hawkins).  International Journal of Bifurcation and Chaos Vol. 16, No. 5 (2006) 1505-1520.

A Criterion for Sierpinski Curve Julia Sets for Rational Maps (with R. L. Devaney).  Topology Proceedings Vol. 30 No. 1 (2006), 1-17.

Sierpinski Carpets and Gaskets As Julia Sets of Rational Maps (with P. Blanchard, R. L. Devaney, M. Moreno Rocha, P. Seal, S. Siegmund, and D. Uminsky).  Dynamics on the Riemann Sphere: A Bodil Branner Festschrift, ed., P. Horth and C. Petersen. European Math Society, 2006, 97-119

Sierpinski Curve Julia Sets and Singular Perturbations of Complex Polynomials (with P. Blanchard, R. L. Devaney, P. Seal, Y. Shapiro). Ergodic Theory and Dynamical Systems 25 (2005), 1047-1055.

Symbolic Dynamics for a Sierpinski Curve Julia Set  (with R. L. Devaney).  Journal of Difference Equations and Applications 11 (2005), 581-596.

Buried Sierpinski Curve Julia Sets (with  R. L. Devaney). Discrete and Continuous Dynamical Systems 13 (2005), 1035-1046.

The Escape Trichotomy for Singularly Perturbed Rational Maps (with  R. L. Devaney and D. Uminsky). Indiana University Mathematics Journal 54 (2005), 1621-1634

 

Correlation does NOT imply Causation

 

HOME