Rich Stankewitz
  Associate Professor of Mathematics

  Correspondence:
   Rich Stankewitz
   Dept. of Math. Sciences
   Ball State University
   Muncie, IN 47306
   Fax: (765) 285-1721

Office:
 RB 422
 Phone: (765) 285-8645
 rstankewitz@bsu.edu

 

 

 

Pictures

Fractal

Ginger

Buddy-man

Research Interests

  • Complex Dynamics
  • Complex Analysis
  • Fractals

Publications

  • Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups, by Rich Stankewitz and Hiroki Sumi, preprint. (dvi; ps, pdf)
     

  • Density of repelling fixed points in the Julia set of a Rational or Entire Semigroup, to appear, Journal of Difference Equations and Applications, (dvi; ps, pdf)  
     

  • Complex Dynamics of Rational Semigroups, with Hiroki Sumi Mathematisches Forschungsinstitut Oberwolfach 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. 
     

  •  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.
     

  • Some counterexamples in dynamics of rational semigroups, by Rich Stankewitz, Toshiyuki Sugawa and Hiroki Sumi, Ann. Acad. Sci. Fenn. Math. 29 (2004), no. 2, 357--366. (dvi; ps, pdf)
     
  • Uniformly perfect analytic and conformal attractor sets, Bull. London Math. Soc. 33 (2001), no.3, pp.320-330 (dvi; ps, pdf)
     
  • Uniformly perfect sets, rational semigroups, Kleinian groups and IFS's, Proc. Amer. Math. Soc. 128 (2000), no. 9, 2569--2575. (dvi; ps, pdf)
     
  • Completely Invariant Sets of Normality For Rational Semigroups, Complex Variables Theory Appl. 40 (2000), no. 3 , pp. 199-210. (dvi; ps, pdf)
     
  • 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-Universität Göttingen in June 22 - July 2, 1998 by David Boyd and Rich Stankewitz) (dvi; ps, pdf)
     
  • Completely Invariant Julia Sets For Polynomial Semigroups, Proc. Amer. Math. Soc. 127 (1999), no. 10, 2889--2898. (dvi; ps, pdf)

Education and Prior Work Experience


Other Interests

I enjoy basketball, football, golf, weight lifting, softball, ultimate Frisbee, biking, playing cards, watching movies, and dogs.