PUBLICATION LIST
 
 
 

1) K.M. Brucks, MSS sequences, necklaces, and periodic points of f(z) = z2 - 2, Adv. in App. Math. 8, 434-445 (1987).

2) K.M. Brucks, Hausdorff dimension and measure of basin boundaries, Adv. in Math. 78, 168-190 (1989).

3) K.M. Brucks, Uniqueness of aperiodic kneading sequences, Proc. Amer. Math. Soc. 107, 223-229 (1989).

4) K.M. Brucks, M. Misiurewicz, and C. Tresser, Monotonicity properties of the family of trapezoidal maps, Commun. Math. Phys. 137, 1-12 (1991).

5) K.M. Brucks, B. Diamond, C. Tresser, and M.V. Otero-Espinar, Dense orbits of critical points for the tent map, Cont. Math. 117, 57-61 (1991).

6) K.M. Brucks and B. Diamond, Monotonicity of auto-expansions, Physica D 51, 39-42 (1991).

7) K.M. Brucks, M.V. Otero-Espinar, and C. Tresser, Homeomorphic restrictions of smooth endomorphisms of an interval ETDS 12 # 3, 429-439 (1992).

8) K.M. Brucks and B. Diamond, A symbolic representation of inverse limit spaces for a class of unimodal maps. In: `Continua with the Houston Problem Book', editors: H. Cook, W.T. Ingram. K.T. Kuperberg, A. Lelek, and P. Minc, Lec. Notes in Pure and Applied Math. 170. Dekker, New York, pp. 207-226 (1995).

9) K.M. Brucks and C. Tresser, A Farey Tree organization of locking regions for simple circle maps, Proc. Amer. Math. Soc 124 #2, 637-647 (1996).

10) K.M. Brucks and M. Misiurewicz, Trajectory of the turning point is dense for almost all tent maps, ETDS 16 # 6, 1173-1183 (1996).

11) M. Barge, K.M. Brucks, and B. Diamond, Self-similarity in inverse limit spaces of the tent family , Proc Amer Math Soc124,  3563-3570 (1996).

12) K.M. Brucks, R. Galeeva, D.N. Rockmore, and C. Tresser, On the -Product in kneading theory, Fund. Math. 152 #3, 189-209 (1997).

13) K.M. Brucks and H. Bruin, Subcontinua of inverse limit spaces of unimodal maps, Fund Math 160 # 3, 219 - 246 (1999).  ps file

14) K.M. Brucks and Z. Buczolich, Trajectory of the turning point is dense for a co--porous set of tent maps, Fund Math 165 # 2, 95 - 123 (2001). ps file

15) K.M. Brucks and Z. Buczolich, Universality in inverse limit spaces of the logistic family occurs with positive measure, Atti Sem Mat Fis Univ Modena 48 # 2 335-353 (2000). ps file

16) K.M. Brucks, J. Ringland, and C. Tresser, An embedding of the Farey web in the parameter space of simple circle maps, Phys. D 161 # 3-4, 142-162 (2002). Journal Reprint ps file

17) K.M. Brucks and Henk Bruin, Topics from one-dimensional dynamics,text targeting advanced undergraduates or beginning graduate students,
2004 LMS Student Text Series, Cambridge Universtiy Press.
 
  2/2/2007