Abstract
We study generic piecewise linear hyperbolic automorphisms of the 2-torus. We explain why the resulting dynamical system is ergodic and mixing and prove the exponential decay of correlations.
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Chernov, N.I. Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus. J Stat Phys 69, 111–134 (1992). https://doi.org/10.1007/BF01053785
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DOI: https://doi.org/10.1007/BF01053785