Complex Perspective for the Projective Heat Map Acting on Pentagons

2016/08/31 by Kaschner, Scott R., Roeder, Roland K. W. · 2 citations
#37F10 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.09001

Abstract

We place Schwartz's work on the real dynamics of the projective heat map H into the complex perspective by computing its first dynamical degree and gleaning some corollaries about the dynamics of H.

Cited by

• Degree growth of skew pentagram maps
• Collapsing in polygonal dynamics

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• A family of projectively natural polygon iterations
• Complex Geometry and Dynamical Systems
• Dynamics in one complex variable: introductory lectures
• Complex dynamics in several variables
• Complex dynamics with focus on the real parts