Existence of cycle-time vectors for minmax functions in dimension 3
By: Colin Sparrow.
Contributors: Hewlett-Packard Laboratories.
Series: [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-08.; BRIMS technical report -- HPL-BRIMS-96-08.
Publisher: Hewlett Packard
Published: 1996
Place of publication: Bristol [England]
Language: eng
Subjects: Asymptotic distribution (Probability theory); Vector analysis
Description: Abstract: "We show that for all minmax functions F : R³ -> R³, the cycle time vector X=lim[subscript k -> infinity] F[superscript k](x)/k exists. Our proof is dynamical in nature, and gives considerable insight into the asymptotic dynamics of minmax functions. It makes substantial use of a previous result of Gunawardena & Keane that [X overlined] and [X underlined] exist for a class of functions that includes minmax functions. An indication is given of how the argument may be extended to show the existence of the cycle-time vector for dimensions n> 3."
Notes: Cover title.

"February, 1996."

Includes bibliographical references.

Supported in part by BRIMS (Hewlett-Packard Basic Research Institute in Mathematical Sciences, Bristol, UK)