4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.DS2011
A method for recursively generating sequential rational approximations to
Joe Nance
The goal of this paper is to derive a simple recursion that generates a sequence of fractions approximating with increasing accuracy. The recursion is defined in term…
math.DS2011★ 4 cited
Periods of the discretized Arnold Cat Map and its extension to n dimensions
Joe Nance
A discrete dynamical system known as Arnold's Discrete Cat Map (Arnold's DCM) is given by (x_t+1, y_t+1) = (x_t + y_t, x_t + 2y_t) mod N; which acts on a two-dimensional square coo…
math.DS2011
Three-Period Orbits in Billiards on the Surfaces of Constant Curvature
Victoria Blumen, Ki Yeun Kim, Joe Nance +1
An approach due to Wojtkovski [9], based on the Jacobi fields, is applied to study sets of 3-period orbits in billiards on hyperbolic plane and on two-dimensional sphere. It is fou…