A family of pseudo-Anosov maps

Authors

Mark Demers, Fairfield UniversityFollow
Marciej P. Wojtkowski

Document Type

Article

Article Version

Post-print

Publication Date

2009

Abstract

We study a family of area-preserving maps of the 2-torus and show that they are pseudo-Anosov. We present a method to construct finite Markov partitions for this family which utilizes their common symmetries. Through these partitions we show explicitly that each map is a tower over a first return map, intimately linked to a toral automorphism. This enables us to calculate directly some dimensional characteristics of the dynamics.

Comments

Copyright 2009 IOP Publishing

http://iopscience.iop.org/0951-7715

Publication Title

Nonlinearity

Repository Citation

Demers, Mark and Wojtkowski, Marciej P., "A family of pseudo-Anosov maps" (2009). Mathematics Faculty Publications. 45.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/45

Published Citation

Mark Demers and Maciej P. Wojtkowski, "A family of pseudo-Anosov maps," Nonlinearity, 22:7 (2009), 1743-1760.

DOI

10.1088/0951-7715/22/7/013

Peer Reviewed