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Article
A family of pseudo-Anosov maps
Nonlinearity
  • Mark Demers, Fairfield University
  • Marciej P. Wojtkowski
Document Type
Article
Article Version
Post-print
Publication Date
1-1-2009
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

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
None
Peer Reviewed
Citation Information
Mark Demers and Marciej P. Wojtkowski. "A family of pseudo-Anosov maps" Nonlinearity Vol. 22 Iss. 7 (2009)
Available at: http://works.bepress.com/mark_demers/12/