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Conformal Geometry and Dynamics

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Complex perspective for the projective heat map acting on pentagons


Authors: Scott R. Kaschner and Roland K. W. Roeder
Journal: Conform. Geom. Dyn. 21 (2017), 247-263
MSC (2010): Primary 37F99; Secondary 32H50
DOI: https://doi.org/10.1090/ecgd/310
Published electronically: May 3, 2017
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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$.


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Additional Information

Scott R. Kaschner
Affiliation: Department of Mathematics & Actuarial Science, Butler University, Jordan Hall, Room 270, 4600 Sunset Avenue, Indianapolis, Indiana 46208
Email: skaschne@butler.edu

Roland K. W. Roeder
Affiliation: Department of Mathematical Sciences, IUPUI, LD Building, Room 224Q, 402 North Blackford Street, Indianapolis, Indiana 46202-3267
Email: rroeder@math.iupui.edu

DOI: https://doi.org/10.1090/ecgd/310
Keywords: Pullback on cohomology, dynamical degrees
Received by editor(s): October 6, 2016
Received by editor(s) in revised form: March 3, 2017
Published electronically: May 3, 2017
Article copyright: © Copyright 2017 American Mathematical Society

American Mathematical Society