** Research papers since 1993 - in some cases the final version appears at the
journal site and not here due to subscription embargos.**

- The Maximal Entropy Measure of Fatou Boundaries , with M. Taylor, (2017) arXiv:1706.09880, 1-15.
- An Experimental View of Herman Rings for Dianalytic maps of RP^2 , with M. Randolph, (2017) arXiv:1706.09880, 1-24.
- A Special Class of Infinite Measure-Preserving Quadratic Rational Maps , with R. Bayless, Preprint, 2017.
- Dynamics and Julia sets of iterated elliptic functions, with M. Moreno Rocha, Preprint, 2016.
- Rational families converging to a family of exponential maps , with J. Furno and L.Koss, Journal of Fractal Geometry (2017), to appear.
- Nondeterministic and stochastic cellular automata and virus dynamics, with E. Burkhead, Journal of Cellular Automata, Vol. 12 (2017), to appear.
- Lebesgue measure theoretic dynamics of rational maps , Ergodic theory, dynamical systems, and the continuing influence of John C. Oxtoby, 197–217, Contemp. Math., 678, Amer. Math. Soc., Providence, RI, (2016).
- Markov process models of the dynamics of HIV, Math Biosci. 275 (2016), 18-24.
- A cellular automaton model of Ebola virus dynamics, with E. Burkhead, Physica A, 438 (2015), 424-435.
- Markov cellular automata models for chronic disease, with D. Molinek, Intl. J. of Biomathematics Vol. 8, No. 6 (2015), 1- 22.
- Topological dynamics of dianalytic maps on Klein surfaces, Top.Proc 46 (2015) 339-353.
- Julia Sets on RP2 and Dianalytic Dynamics, with S. Goodman, Conf. Geom. and Dynamics 18 (2014) 85-109.
- Proof of a Folklore Julia Set Connectedness Theorem and Connections with Elliptic Functions , Conf. Geom. and Dyn, Vol.17, 26-38 (2013). (Link to related graphics.)
- Ergodic and chaotic properties of Lipschitz maps on smooth surfaces , with S. Goodman, New York J. Math 18 (2012) 95-120.
- Errata and corrigenda: Ergodic and chaotic properties of Lipschitz maps on smooth surfaces, with S. Goodman, New York J. Math 18 (2012) 551-554.
- Dynamics and bifurcations of a family of rational maps with parabolic fixed points , with R. Hagihara, Intl. J. of Bif. and Chaos, 21, No. 11, (2011) 3323-3339.
- Families of type III_0 ergodic transformations in distinct orbit equivalent classes , with A. Dooley and D. Ralston, Monat. fur Math, Volume 164, Number 4, (2011), 369-381.
- Parametrized dynamics for the Weierstrass elliptic function over square period lattices , with M. McClure, Internat. J. Bifur. Chaos Appl. Sci. Engrg, 21 (2011), no. 1, 125–135.
- A family of elliptic functions with Julia set the whole sphere , J. Difference Eqn. Appl. 16 (2010), no. 5-6, 597-612.
- Elliptic functions with critical orbit approaching infinity, with L. Koss and J. Kotus, J. Difference Equ Appl. 16 (2010), no. 5-6, 613-630.
- Rigidity of Smooth one-sided Bernoulli Endomorphisms, with H. Bruin, New York Journal of Math, 15, (2009), 451-483.
- A dynamical study of a cellular automata model of the spread of HIV in a lymph node, with E. Burkhead and D. Molinek, Bulletin of Mathematical Biology (2009) 71: 25-74.
- One dimensional stochastic cellular automata , with D. Molinek, Topology Proc. 31 (2007), No. 2, 515-532.
- Families of Ergodic and Exact One-Dimensional Maps, with J. Barnes, Dynamical Systems: an International Journal, Vol. 22, No. 2, (2007), 203-217.
- Smooth Julia sets of elliptic functions for square rhombic lattices, Spring Topology and Dynamical Systems Conference. Topology Proc. 30 (2006), no. 1, 265--278.
- Locally Sierpinsk Julia sets of Weierstrass elliptic P functions, with Daniel Look, Intl. Jour. of Bifurcation and Chaos, Vol. 16, No. 5 (2006) 1505-1520.
- Connectivity Properties of Julia sets of Weierstrass Elliptic Functions, with L. Koss,
Topology and its Appl 152 (2005) 107-137 .
- Parametrized
Dynamics of the Weierstrass Elliptic Function , with L. Koss, Conf. Geom. Dyn. 8 (2004), 1-35.
- Lebesgue Ergodic Parameters for
Quadratic Rational Maps, Intl. J. of Bifurcation and Chaos, Vol. 13, No.
6, 1423-1442, June,(2003).
- Maximal Entropy Measure for Rational Maps
and a Random Iteration Algorithm, with Michael E. Taylor, Intl. J. of
Bifurcation and Chaos, Vol. 13, No. 6, 1442-1448, June (2003).
- Ergodic
Properties and Julia sets of Weierstrass
Elliptic Functions, with L. Koss, Monatsh.
Math. 137, 273-300, (2002).
- McMullen's
Root-Finding Algorithm for Cubic Polynomials, Proc. AMS 130, 2583-2592
(2002)
- Exactness
and Maximal Automorphic Factors of S-Unimodal Maps, with H. Bruin,
Erg. Theory and Dyn. Sys. 21, Part 4, (2001),
1009-1034.
- Examples
of expanding C^1 maps having no sigma-finite measure equivalent to
Lebesgue, with H. Bruin, Isr. J. Math. 108, 83-107 (1999)
- Examples and Properties of Nonexact Ergodic Shift Measures, with S. Eigen, Indag. Mathem.,N.S.,10(1), 25-44 (1999)
- Characterizing
Mildly Mixing Actions by Orbit Equivalence of Products, with C. Silva,
New York J. Math, 3A , 99-115 (1998).
- A Construction of a Non-Measure Preserving
Endomorphism Using Quotient Relations and Automorphic Factors, with K.
Dajani, J. Math. Anal. and Appl. 204, 854-867
(1996).
- Amenable
Relations for Endomorphisms, Trans. AMS,
343, 169-191 (1994).
- Examples of Endomorphisms
and their Natural Extensions, with K. Dajani ,
Proc. AMS, 120, 1211-1217 (1994).
- Rohlin Factors,
Product Factors, and Joinings for n-to-one Maps,
with K. Dajani, Ind. Univ. Math. J., 42, 237-258 (1993).

COURSE
NOTES:

- Mathematica Made Easy, Course
notes and manual, 1997.
- The Basics of Complex Dynamics,
Short course notes , 1-26, 2000.
- Linear Algebra for Differential
Equations, Course notes, exercises, and solns,
2001.

For a
general audience:

- Ergodic Theory, (an entry in Encylcopedia of Noninear
Science) , Routledge Publishing, NY.
- How I Became a Mathematician,
**Bob Ryan's 2002 Almanac and Guide for the Weatherwise ,**NBC4 Washington, DC, (pdf format) . - Casting Light on the Shadow of
Doubt, book review on James Franklin's The Science of Conjecture,
**Science ,**Vol.294, Oct. 19, 2001, p.527, PDF format or PS format or full text for subscribed members to Science.

- Math
computer labs give students the big picture, by Kevin O'Kelly, The
Chapel Hill News, May 10, 1998
- Numbers
by Nature, by Angela Spivey, Endeavors:Research
and Creativity, UNC, Fall, 2000
- Powering
Up, by Steve Adams and Kevin O'Kelly, Carolina Alumni Review, September/October,
2000.
- by Kevin O'Kelly, The
University Gazette, August 16, 2000.