Abstract
We construct classes of two-dimensional aperiodic Lorentz systems that have infinite horizon and are ‘chaotic’, in the sense that they are (Poincaré) recurrent, uniformly hyperbolic, and ergodic, and the first-return map to any scatterer is K -mixing. In the case of the Lorentz tubes (i.e., Lorentz gases in a strip), we define general measured families of systems ( ensembles) for which the above properties occur with probability 1. In the case of the Lorentz gases in the plane, we define families, endowed with a natural metric, within which the set of all chaotic dynamical systems is uncountable and dense.
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