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Absolutely continuous invariant measures for some piecewise hyperbolic affine maps – CORRIGENDUM

Published online by Cambridge University Press:  19 July 2021

TOMAS PERSSON
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Type
Corrigendum
Information
Ergodic Theory and Dynamical Systems , Volume 42 , Issue 9 , September 2022 , pp. 2990
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

Balázs Bárány and Boris Solomyak have drawn my attention to an error in my paper ‘Absolutely continuous invariant measures for some piecewise hyperbolic affine maps’ [Reference Persson1]. On page 225 of that paper, the estimate of $\mathcal {I}$ , which follows after the words ‘This can be estimated by’, is incorrect and hence so also is the proof of the main result of the paper. I have not been able to circumvent this problem, and the proof therefore remains incomplete.

References

Persson, T.. Absolutely continuous invariant measures for some piecewise hyperbolic affine maps. Ergod. Th. & Dynam. Sys. 28(1) (2008), 211–228.CrossRefGoogle Scholar