arXiv:1312.0281 Abstract | arXiv Analytics

arXiv:1312.0281 [math.DS]Abstract References Reviews Resources

Linear Triangle Dynamics: The Pedal Map and Beyond

Published 2013-12-01Version 1

We present a moduli space for similar triangles, then classify triangle maps $f$ that arise from linear maps on this space, with the well-studied pedal map as a special case. Each linear triangle map admits a Markov partition, showing that $f$ is mixing, hence ergodic.

Comments: 11 pages, 4 figures

Categories: math.DS

Subjects: 37B10

Keywords: linear triangle dynamics, linear triangle map admits, linear maps, well-studied pedal map, special case

Related articles: Most relevant | Search more

arXiv:1010.5490 [math.DS] (Published 2010-10-26)

A joining classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman)

Manfred Einsiedler, Amir Mohammadi

arXiv:1401.7027 [math.DS] (Published 2014-01-27, updated 2015-03-05)

Intermediate β-shifts of finite type

Bing Li, Tuomas Sahlsten, Tony Samuel

arXiv:1108.4665 [math.DS] (Published 2011-08-23)