A family of pseudo-Anosov maps

Mark Demers; Marciej P. Wojtkowski

doi:10.1088/0951-7715/22/7/013

A family of pseudo-Anosov maps

Mark Demers, Marciej P. Wojtkowski

Fairfield University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Nonlinearity
Volume	22
DOIs	https://doi.org/10.1088/0951-7715/22/7/013
State	Published - Jan 1 2009

Keywords

Mathematical physics
Computational physics

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1088/0951-7715/22/7/013License: CC BY

A family of pseudo-Anosov mapsFinal published version, 270 KBLicense: CC BY

Cite this

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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.",

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AB - 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.

KW - Mathematical physics

KW - Computational physics

UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/45

U2 - 10.1088/0951-7715/22/7/013

DO - 10.1088/0951-7715/22/7/013

M3 - Article

VL - 22

JO - Nonlinearity

JF - Nonlinearity

ER -

A family of pseudo-Anosov maps

Abstract

Keywords

Disciplines

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