Math @ Duke
|
Papers Published
- J.M. Hawkins and D. M. Look, Locally Sierpinski Julia sets of Weierstrass Elliptic P functions,
Intl. J. of Bifurcation and Chaos, vol. 16 no. 5
(May, 2006),
pp. 1505-1520
- J.M. Hawkins and L Koss, Connectivity properties of Julia sets of Weierstrass elliptic functions,
Topology and its Applications, vol. 152
(2005),
pp. 107-137 [MR2160809]
- J.M. Hawkins and L. Koss, Connectivity properties of Julia sets of Weierstrass elliptic P functions,
Topology and its applications, available online, October 14, vol. 152 no. 1-2
(2005),
pp. 107-137 [MR2160809], [pdf] [abs]
- J.M. Hawkins and L. Koss, Parametrized dynamics of the Weierstrass elliptic function,
Conform. Geom. Dyn., vol. 8
(2004),
pp. 1--35 [MR2060376]
- J.M. Hawkins and L. Koss, Ergodic properties and Julia sets of Weierstrass elliptic functions,
Monatsh. Math., vol. 137 no. 4
(2004),
pp. 273-300 [MR2003j:37066]
- J.M. Hawkins, Lebesgue ergodic rational maps in parameter space Internat. J. Bifur. Chaos Appl. Sci. Engrg. 13 (2003), no. 6, 1423--1447,
Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 13 no. 6
(2003),
pp. 1423--1447 [MR2004e:37065]
- J.M. Hawkins and M. E. Taylor, Maximal Entropy Measure for Rational Maps and a Random Iteration Algorithm, appendix to Lebesgue ergodic rational maps in parameter space,
Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 13 no. 6
(2003),
pp. 1442--1447
- J.M. Hawkins, McMullen's root-finding algorithm for cubic polynomials,
Proc. Amer. Math. Soc., vol. 130 no. 9
(2002),
pp. 2583--2592 [MR2003k:37062] [abs]
- J.M. Hawkins and H. Bruin, Exactness and maximal automorphic factors of unimodal interval maps,
Ergodic Theory Dynam. Sys., vol. 21 no. 4
(2001),
pp. 1009--1034 [MR2002k:37060] [abs]
- J.M. Hawkins and S. Eigen, Examples and properties of nonexact ergodic shift measures,
Indag. Math. (N.S.), vol. 10 no. 1
(1999),
pp. 25--44 [MR2000g:28036]
- J.M. Hawkins and C. E. Silva, Characterizing mildly mixing actions by orbit equivalence of products,
N.Y Jour. of Math., vol. 3A
(1998),
pp. 99--115 [MR99b:28019]
- J.M. Hawkins and H. Bruin, Examples of expanding C^1 maps having no sigma-finite invariant measure equivalent to Lebesgue,
Israel J. Math, vol. 108
(1998),
pp. 83--107 [MR2000i:37051]
- J.M. Hawkins and K. Dajani, A construction of a non-measure-preserving endomorphism using quotient relations and automorphic factors,
Math. Anal. and Appl., vol. 204
(1996),
pp. 854--867 [MR1422777]
- J.M. Hawkins and K. Dajani, Examples of natural extensions of nonsingular endomorphism,
Proc. AMS, vol. 120
(1994),
pp. 1211--1217 [MR1174489]
- J.M. Hawkins, Amenable relations for endomorphisms,
Trans. AMS, vol. 343 no. 1
(1994),
pp. 169--191 [MR1179396]
- J.M. Hawkins and K. Dajani, Rohlin factors, product factors, and joinings for n-to-one maps,
Indiana Univ. Math. Jour., vol. 42 no. 1
(1993),
pp. 237--258 [MR1218714]
- J.M. Hawkins and C. Silva, Noninvertible transformations admitting no absolutely continuous sigma-finite invariant measure,
Proc. AMS, vol. 111 no. 2
(1991),
pp. 455--463 [MR1045139]
- J.M. Hawkins, Diffeomorphism of manifolds with nonsingular Poincare flows,
J. Math. Anal. and Appl., vol. 145 no. 2
(1990),
pp. 419--430 [MR1038167]
- J.M. Hawkins, Properties of ergodic flows associated to product odometers,
Pac. J. Math, vol. 141 no. 2
(1990),
pp. 287--294 [MR1035444]
- J.M. Hawkins, Ratio sets of endomorphisms which preserve a probability measure,
in Measure and Measurable Dynamics, AMS Contemp. Math., vol. 94
(1989),
pp. 159--170, AMS [MR1012986]
- J.M. Hawkins and C. Silva, Remarks on recurrence and orbit equivalence of nonsingular endomorphisms,
in Dynamical Systems Proceedings, Univ. of Md., Springer Lec. Notes in Math, vol. 1342
(1988),
pp. 281--290, Springer Verlag [MR0970561]
- J.M. Hawkins and E. A. Robinson, Jr., AT(2) flows and transformations have simple spectrum,
in Dynamical Sys. Proc., University of Maryland, Springer Lec. Notes in Math., vol. 1342
(1988),
pp. 259--280, Springer-Verlag [MR0970560]
- J.M. Hawkins, J.R Choksi, and V. S. Prasad, Abelian cocycles for nonsingular ergodic transformations and the genericity of type III transformations,
Monat. Math., vol. 103 no. 3
(1987),
pp. 187--205 [MR0894170]
- Hawkins, Jane M., Smooth {$T\sp n$}-valued cocycles for ergodic diffeomorphisms,
Proceedings of the American Mathematical Society, vol. 93 no. 2
(1985),
pp. 307--311 (ISSN: 0002-9939.) [MR770542]
- Hawkins, J. and Woods, E. J., Approximately transitive diffeomorphisms of the circle,
Proceedings of the American Mathematical Society, vol. 90 no. 2
(1984),
pp. 258--262 (ISSN: 0002-9939.) [MR727245]
- Hawkins, Jane, Smooth type {${\rm III}$} diffeomorphisms of manifolds,
Transactions of the American Mathematical Society, vol. 276 no. 2
(1983),
pp. 625--643 (ISSN: 0002-9947.) [MR688966]
- Hawkins, Jane, Non-{ITPFI} diffeomorphisms,
Israel Journal of Mathematics, vol. 42 no. 1-2
(1982),
pp. 117--131 (ISSN: 0021-2172.) [MR687939]
- J. Hawkins and K. Schmidt, On C^2 diffeomorphisms of the circle,
Invent. Math., vol. 66 no. 3
(1982),
pp. 511-518 [MR0662606]
Papers Accepted
- J.M. Hawkins and J. Barnes, Ergodic and Exact maps of the Interval,
Dynamical systems: an international journal
(2006)
Preprints
- J.M. Hawkins, AT(p) group actions
(1986) [author's comments]
Book Reviews
- J.M. Hawkins, Casting Light on the Shadow of Doubt, book review on James Franklin's The Science of Conjecture,
Science, vol. 294
(2001),
pp. 527
Other
- J.M. Hawkins, The Role of Women in Research Mathematics and Education in the United States
(2004), Korean Institute for Advanced Study/Korean Women in Mathematical Sciences/First Intl. Worskshop for Korean Women in Math. [pdf]
- J.M. Hawkins, Ergodic theory,
in Encyclopedia of Nonlinear Science, NL3621, edited by Alwyn Scott
(2004),
pp. 4 pages, Routledge
- J.M. Hawkins, How I Became a Mathematician,
in Bob Ryan's 2002 Almanac and Guide for the Weatherwise
(2002), NBC4 Washington DC
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|