Publications

The Parameter Space and Dynamics for 2-Circle Inversion with Complex Radii, In Preparation

Capture Sierpinski Carpet Julia Sets for n-Circle Inversions, In Preparation

A Bounded Sequence of Bitransitive and Capture Sierpinski Carpet Julia Sets for 3-Circle Inversion, In Preparation

Apollonian Spokes in n-Circle Inversion Parameter Space, Submitted.

An Infinite Sequence of Wall-to-Wall Sierpinski Carpets for z->Lambda(z+1/z), Submitted.

Stylometry and Collaborative Authorship: Eddy, Lovecraft, and "The Loved Dead" w/ A. Gladwin and M. Lavin, Digital Scholarship in the Humanities April (2017), 123-140.

Queer Geometry and Higher Dimensions: Mathematics in the fiction of H. P. Lovecraft, Lovecraft Annual, Issue 10 (2016).

Checkerboard Julia Sets for Rational Maps w/ P. Blanchard, F. Cilingir, D. Cuzzocreo, R.L. Devaney, E. Russell, The International Journal of Bifurcations and Chaos 23, No. 2 (2013), 48-60.

Statistics in the Hyborian Age: An Introduction to Stylometry, Conan meets the Academy: Multidisciplinary Essays on the Enduring Barbarian, Ed. J. Prida, McFarland Press (2012), 103-121.

Classifying Simple Closed Curve Pairs in the 2-Sphere and a Generalization of the Schoenflies Theorem w/ R. Franzosa and I. Gotchev, Topology and its Applications, 158 (2011) 748-760.

Sierpinski carpets as Julia sets for Imaginary 3-Circle Inversions Journal of Difference Equations and Applications Vol. 16, Issue 5,6 (2010), 705-713.

The Dynamics of Two and Three Circle Inversion, Fundamenta Mathematicae 199 (2008), 227-247.

Singular Perturbations of z^n w/ R. L. Devaney, M. Holzer, M. Moreno Rocha, and D. Uminsky, 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.

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

A Criterion for Sierpinski Curve Julia Sets w/ R. L. Devaney, Topology Proceedings 30 No. 1 (2006), 1-17.

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

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

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

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

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

Perturbations of Complex Polynomials and Circle Inversion Maps Boston University Doctoral Disertation (Unpublished)

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