For more information on the published version, visit Science Direct’s Website., We introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectively) discrete dynamical systems. Both are topological...
Richeson, David, and Jim Wiseman. Positively Expansive Homeomorphisms of Compact Spaces. International Journal of Mathematics and Mathematical Sciences Volume 2004, Article ID 821324, 4 pp....
Using the Japanese theorem on cyclic polygons, we visually show that the sum of inradii in a triangulation of a regular polygon approaches the diameter of the circumcircle as the number of sides tends to infinity., Richeson,...
We analyze the dynamics of a sequence of families of non-polynomial rational maps, {f a,d }, for a ∈ C* = C \ {0}, d ≥ 2. For each d, {f a,d } is a family of rational maps of degree d of the Riemann sphere parametrized by a ∈...
For more information on the published version, visit American Mathematical Society's (AMS) Website. See also: Furno, Joanna, and Lorelei Koss. Relating Singularly Perturbed Rational Maps to Families of Entire Maps. In...
Published as: Franks, John, and David Richeson. Shift Equivalence and the Conley Index. Transactions of the American Mathematical Society 352, no. 7 (2000): 3305-3322....
We analyze the existence and types of unbounded Fatou components for elliptic functions and other meromorphic functions with doubly periodic Julia sets. We show that apart from Herman rings and Siegel disks, all types of...
Das, Tarun, Keonhee Lee, David Richeson, and Jim Wiseman. Spectral Decomposition for Topologically Anosov Homeomorphisms on Noncompact and Non-Metrizable Spaces. Topology and its Applications 160, no. 1 (2013): 149-158....
Bryant, Lance, Sarah Bryant, and Diana White. Striking the Right Chord: Math Circles Promote (Joyous) Professional Growth. In The Celebration of the EDGE Program's Impact on the Mathematics Community and Beyond, edited by...