Karen Brucks

Karen BrucksAssociate Professor

(Associate Dean, Natural Sciences)
Office: NWQ B 5488
Phone: (414) 229-2925
E-mail: kmbrucks@uwm.edu
Web: http://pantherfile.uwm.edu/kmbrucks/www
Curriculum Vitae

Educational Degrees

Ph.D. Mathematics, North Texas State University, 1988
M.A. Mathematics, North Texas State University, 1982
B.A. Mathematics, University of Arizona, 1980

Research Interests

  • Dynamical Systems
  • Topological, symbolic, and measurable dynamics

Selected Service, Projects, and Publications

Alvin, Lori, and Brucks, Karen M. “Adding machines, kneading maps, and endpoints.” Topology and its Applications 158.3 (2011): 542-550.
Alvin, Lori, and Brucks, Karen M. “Adding machines, endpoints, and inverse limit spaces.” Fundamenta Mathematicae 209.1 (2010): 81-93.
Brucks, Karen M., and Bruin, Henk. “Topics from one-dimensional dynamics.” 62. Cambridge University Press. (2004) .
Brucks, Karen M., Ringland, John, and Tresser, Charles. “An embedding of the Farey web in the parameter space of simple families of circle maps.” Physica D. Nonlinear Phenomena 161.3-4 (2002): 142-162.
Brucks, Karen M., and Buczolich, Zoltán. “Universality in inverse limit spaces of the logistic family occurs with positive measure.” Atti del Seminario Matematico e Fisico dell'Università di Modena 48.2 (2000): 335-353.
Brucks, Karen M., and Buczolich, Zoltán. “Trajectory of the turning point is dense for a co-σ-porous set of tent maps.” Fundamenta Mathematicae 165.2 (2000): 95-123.
Brucks, Karen M., and Bruin, Henk. “Subcontinua of inverse limit spaces of unimodal maps.” Fundamenta Mathematicae 160.3 (1999): 219-246.
Brucks, Karen M., Galeeva, R., Mumbrú, P., Rockmore, D., and Tresser, C. “On the ∗-product in kneading theory.” Fundamenta Mathematicae 152.3 (1997): 189-209.
Brucks, Karen M., and Misiurewicz, Michal. “The trajectory of the turning point is dense for almost all tent maps.” Ergodic Theory and Dynamical Systems 16.6 (1996): 1173-1183.
Barge, Marcy, Brucks, Karen M., and Diamond, Beverly. “Self-similarity in inverse limit spaces of the tent family.” Proceedings of the American Mathematical Society 124.11 (1996): 3563-3570.
Brucks, Karen M., and Tresser, C. “A Farey tree organization of locking regions for simple circle maps.” Proceedings of the American Mathematical Society 124.2 (1996): 637-647.
Brucks, Karen M., and Diamond, Beverly. “A symbolic representation of inverse limit spaces for a class of unimodal maps.” Continua, Dekker 170. (1995): 207-226.
Brucks, Karen M., Otero-Espinar, Maria Victoria, and Tresser, Charles. “Homeomorphic restrictions of smooth endomorphisms of an interval.” Ergodic Theory and Dynamical Systems 12.3 (1992): 429-439.
Brucks, Karen M., Misiurewicz, M., and Tresser, C. “Monotonicity properties of the family of trapezoidal maps.” Communications in Mathematical Physics 137.1 (1991): 1-12.
Brucks, Karen M., and Diamond, B. “Monotonicity of auto-expansions. Nonlinear science: the next decade.” Physica D. Nonlinear Phenomena 51.1-3 (1991): 39-42.
Brucks, Karen M., Diamond, B., Otero-Espinar, M. V., and Tresser, C. “Dense orbits of critical points for the tent map.” Continuum theory and dynamical systems, Amer. Math. Soc. 117. (1991): 57-61.
Brucks, Karen M. “Uniqueness of aperiodic kneading sequences.” Proceedings of the American Mathematical Society 107.1 (1989): 223-229.
Brucks, Karen M. “Hausdorff dimension and measure of basin boundaries.” Advances in Mathematics 78.2 (1989): 168-191.
Brucks, Karen M. “MSS sequences, colorings of necklaces, and periodic points of f(z)=z^2−2.” Advances in Applied Mathematics 8.4 (1987): 434-445.