Papers

Preprints / work in progress

Suzanne Hruska Boyd, Rodrigo Perez, and John Smillie, Combinatorial Models for postcritically infinite expanding dynamical systems, in preparation.
An outline of the ideas is in the Slides from my March 2010 STDC talk.

Suzanne Hruska Boyd, Baby Julia sets and Combinatorial Models, in preparation.
An outline of the ideas is in the Slides from my July 2012 Banff talk.

Publications

Suzanne Boyd, Juan L. G. Guirao, Michael W. Hero, On diffeomorphisms of compact 3-manifolds with all nonwandering points periodic, International Journal of Bifurcations and Chaos, to appear December 2015.
Preprint version available at arXiv:1404.6006

Suzanne Hruska Boyd and Michael J. Schulz, Geometric Limits of Mandelbrot and Julia Sets under Degree growth, International Journal of Bifurcations and Chaos, Vol 22, No. 12, December 2012.
Preprint version available at arXiv:1109.2166

Suzanne Hruska Boyd and Christian Henriksen, The Medusa Algorithm for Polynomial Matings, Conformal Geometry and Dynamics, 16 (2012), 161–183.
Preprint version available at arXiv:1102.5047

Suzanne Lynch Hruska and Roland Roeder, “Topology of Fatou components for endomorphisms of CP^2: Linking with the Green’s Current”, Fundamenta Mathematicae, 210 (2010), 73–98.
Preprint version available at arXiv:0810.1673.

Laura DeMarco and Suzanne Lynch Hruska, “Axiom A polynomial skew products of C^2 and their postcritical sets – ERRATURM, ETDS (2011), 31, 631-636.
Submitted version (PDF).

Laura DeMarco and Suzanne Lynch Hruska, “Axiom A polynomial skew products of C^2 and their postcritical sets”, Ergodic Theory and Dynamical Systems, Volume 28, Issue 06, Dec. 2008, pages 1749–1779.
Preprint version available at arXiv:0704.0942.

Suzanne Lynch Hruska, “Rigorous numerical studies of the dynamics of polynomial skew products of C^2”, in Complex Dynamics: Twenty-Five Years After the Appearance of the Mandelbrot Set, American Mathematical Society. Contemporary Math, 396, 2006.
Preprint version available at arXiv:math/0502038.

Suzanne Lynch Hruska, “A numerical method for constructing the hyperbolic structure of complex Henon mappings”, Found. Comput. Math. 6 (2006), no. 4, 427–455.
Preprint version available at arXiv:math/0406004.

Gregery T. Buzzard, Suzanne Lynch Hruska, and Yulij Ilyashenko, “Kupka-Smale theorem for polynomial automorphisms of C^2 and persistence of heteroclinic intersections”, Inventiones Mathematicae, Volume 161, Issue 1, Pages 45-89, 2005.
Download submitted version in either PDF (420 KB) format, or access the published version at springeronline.com.

Suzanne Lynch Hruska, “Constructing an expanding metric for dynamical systems in one complex variable”, Nonlinearity, 18 (2005) 81-100.
Preprint version available at arXiv:math/0406003.
Download the program Hypatia (To reproduce the computer results of this paper, download Hypatia_v2 (version 2, 2003).)

Suzanne Lynch Hruska, “Rigorous numerical models for the dynamics of complex Henon mappings on their chain recurrent sets”, Discrete and Continuous Dynamical Systems, Volume 15, Number 2, June 2006, pages 529–558.
Preprint version available at arXiv:math/0406002.
Download the program Hypatia (To reproduce the computer results of this paper, download Hypatia_v2 (version 2, 2003).)

S. L. Hruska, M. Kiskowski, J. Lefeaux, K. McCleary, D. Ngyouyassa, B. Smith, “Optimizing Language Models for Speech Recognition”, IMA Preprint Series, 1752-2, February 2001.
Available at IMA preprint 1752-2.pdf.

Suzanne Lynch Hruska, “On the numerical construction of hyperbolic structures for complex dynamical systems”, PhD
Thesis, Cornell University, August 2002.