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Locally discrete expanding groups of analytic diffeomorphisms of the circle
Journal of Topology  (IF1.582),  Pub Date : 2020-05-19, DOI: 10.1112/topo.12146
Bertrand Deroin

We show that a finitely generated subgroup of Diff ω ( S 1 ) that is expanding and locally discrete in the analytic category is analytically conjugated to a uniform lattice in PGL 2 k ( R ) acting on the k th covering of R P 1 for a certain integer k > 0 .