A note on reversibility and Pell equations

Bessa, Mário; Carvalho, Maria; Rodrigues, Alexandre A. P.

http://hdl.handle.net/10400.2/13919

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Authors

Bessa, Mário

Carvalho, Maria

Rodrigues, Alexandre A. P.

Abstract(s)

This note concerns hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. Due to the low dimension, we will be able to associate the reversibility with a generalized Pell equation from whose set of solutions we will infer further information. Additionally, we will show that reversibility is a rare feature and will characterize the generic setting.