Random Backward Iteration Algorithm for Julia sets of Rational
Semigroups, by R. Stankewitz and H. Sumi, preprint, 15 pages,
pdf file.
Random Backward Iteration Algorithm for Julia sets of Rational
Semigroups,
by R. Stankewitz and H. Sumi, Discrete and Continuous Dynamical System - A,
35 (2015), no. 5, 2165–2175, pdf file.
Mobius Semigroup Attractors, Topics in Finite or Infinite Dimensional Complex
Analysis: Proceedings of the 19th International Conference on Finite or
Infinite Dimensional Complex Analysis and Applications, (2013), 49 - 61.
Complex Dynamics of Mobius semigroups,with David Fried and Sabastian Marotta, Ergodic Theory and Dynamical Systems, 32 (2012), no. 06,
1889-1929 (dvi;
ps, pdf)
Density of repelling fixed points in the Julia set of a rational
or entire semigroup, II, Discrete and Continuous Dynamical Systems Ser. A, 32 (2012), 2583 - 2589. (dvi; ps, pdf)
Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups, by Rich Stankewitz and Hiroki Sumi, Transactions
of the American Mathematical Society, 363 (2011), no. 10, 5293–5319. (dvi; ps, pdf)
Density of repelling fixed points in the Julia
set of a Rational or Entire Semigroup, Journal of Difference Equations and Applications, Vol.
16, Nos. 5–6, 763–771. (dvi; ps, pdf)
Complex Dynamics of Rational Semigroups, with Hiroki SumiMathematischesForschungsinstitutOberwolfach
Report No. 9/2007, Normal Families and Complex Dynamics, pp.
538 - 540.
Random dynamics of polynomials and postcritically bounded polynomial semigroups, authored with Hiroki Sumi,Complex
analysis and its applications, 333-338, OCAMI Stud., 2, Osaka Munic. Univ. Press, Osaka, 2007.
Structure of Julia sets of polynomial semigroups with bounded
finite postcritical set, by Rich Stankewitz and Hiroki Sumi, Applied
Mathematics and Computation 187 (2007) pp. 479-488. (dvi; ps, pdf)
Uniformly perfect sets and complex dynamics, Proceedings of the 12th International
Conference on Finite or Infinite Dimensional Complex Analysis and
Applications (2005), pp. 331-338, Kyushu University Press.
Conjectures and Counterexamples in dynamics of rational semigroups, authored with Toshiyuki Sugawa,
and Hiroki Sumi, Advances in Analysis Proceedings of the 4th International
ISAAC Congress (2005), pp. 549-556, World Scientific Publishers, (refereed
proceedings).
Introduction
to Quasiconformal Mappings in the plane with an
application to quasiconformal surgery, by Nathan
Mercer and Rich Stankewitz. (dvi;
ps, pdf)Updated 8-25-07.
Feel free to download the latex file and zipped figures file (figures created by WinFIG) if you are interested in modifying it for your
own purposes.We also welcome any feedback on this, in
particular, any suggestions that might make this a more useful learning
tool for others.
Uniformly perfect sets, rational semigroups, Kleinian
groups and IFS's, Proceedings of
the Second ISAAC Congress, vol. 1, pp.383--388, Kluwer Academic Publishers
(2000)
Dynamics of Rational semigroups (lecture notes based on mini-course given at Georg-August-UniversitätGöttingen
in June 22 - July 2, 1998 by David Boyd and Rich Stankewitz) (dvi; ps,
pdf)