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,...
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....
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....
Richeson, David S. Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity. Princeton, NJ: Princeton University Press, 2019., For more information on the published version, visit Princeton...
For more information on the published version, visit World Scientific’s Website., We introduce topological helicity, an invariant for oriented framed links. Topological helicity provides an elementary means of computing...
In 1928, Henry Scudder described how to use a carpenter's square to trisect an angle. We use the ideas behind Scudder's technique to define a trisectrix—a curve that can be used to trisect an angle. We also describe a compass...
In 1733 the French naturalist Georges Louis Leclerc, Comte de Buffon, posed and solved the following problem in geometric probability: when a needle of length L is dropped onto a wooden floor constructed from boards of width D...