2n-rational maps. (5th May 2017)

• Record Type: Journal Article
• Authors: Kassotakis, Pavlos; Nieszporski, Maciej
• Is Part Of: Journal of physics. Volume 50:Number 21(2017)
• Publication Date: 2017-05-05
• Subjects: integrable maps -- discrete integrable systems -- simplex equations; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa6dbd
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We present a natural extension of the notion of nondegenerate rational maps ( quadrirational maps ) to arbitrary dimensions. We refer to these maps as 2 n -rational maps. In this note we construct a rich family of 2 n -rational maps. These maps by construction are involutions and highly symmetric in the sense that the maps and their companion maps have the same functional form.