Geodesic
Trajectory theory
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 26 (1985), pp. 171-211.

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This survey is devoted to metric trajectory theory, considering groups of transformations with an invariant or quasiinvariant measure. 
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     title = {Trajectory theory},
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A. M. Vershik; A. L. Fëdorov. Trajectory theory. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 26 (1985), pp. 171-211. http://geodesic.mathdoc.fr/item/INTD_1985_26_a4/