Browsing MATH Theses and Dissertations by Author "Wolf, Christian"

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The existence of Morse-Smale diffeomorphisms in the family of Hénon maps

Wiggins, Shawn (Wichita State University, 2009-05)

We consider Hénon maps on ℝ² of the form fa,c(x,y)=(y,y2+c+ax) with real parameters (a, c). Due to the work of S. Hayes and C. Wolf [8], we provide a detailed investigation of the parameters 0 < a < 1 and c = 0. For each ...
Typical points, invariant measures, and dimension for rational maps on the Riemann sphere

Kaufmann, Jacie L. (2006-05)

We present three original results for the dynamics of rational maps on the Riemann sphere. Using methods from dimension and ergodic theory, we discuss generalized physical measures and prove their existence for hyperbolic ...