horocycle flow

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Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical … Wikipedia
Anosov diffeomorphism — In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather clearly marked local directions of expansion and contraction .… … Wikipedia
horocyclic — adjective Relating to a set of points that are all equidistant (keeping other coordinates constant) from some constant point. In two dimensional Euclidean geometry using a polar coordinate system, horocyclic flow is either the circular… … Wiktionary

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