Locally discrete expanding groups of analytic diffeomorphisms of the circle

Bertrand Deroin

doi:10.1112/topo.12146

Locally discrete expanding groups of analytic diffeomorphisms of the circle

Bertrand Deroin

CY Cergy Paris Université

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a finitely generated subgroup of (Formula presented.) that is expanding and locally discrete in the analytic category is analytically conjugated to a uniform lattice in (Formula presented.) acting on the (Formula presented.) th covering of (Formula presented.) for a certain integer (Formula presented.).

Original language	English
Pages (from-to)	1216-1229
Number of pages	14
Journal	Journal of Topology
Volume	13
Issue number	3
DOIs	https://doi.org/10.1112/topo.12146
Publication status	Published - 1 Sept 2020
Externally published	Yes

Keywords

20E06
37C85 (primary)
37D25
37F15
57S05 (secondary)

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10.1112/topo.12146

Cite this

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title = "Locally discrete expanding groups of analytic diffeomorphisms of the circle",

abstract = "We show that a finitely generated subgroup of (Formula presented.) that is expanding and locally discrete in the analytic category is analytically conjugated to a uniform lattice in (Formula presented.) acting on the (Formula presented.) th covering of (Formula presented.) for a certain integer (Formula presented.).",

keywords = "20E06, 37C85 (primary), 37D25, 37F15, 57S05 (secondary)",

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AB - We show that a finitely generated subgroup of (Formula presented.) that is expanding and locally discrete in the analytic category is analytically conjugated to a uniform lattice in (Formula presented.) acting on the (Formula presented.) th covering of (Formula presented.) for a certain integer (Formula presented.).

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KW - 37C85 (primary)

KW - 37D25

KW - 37F15

KW - 57S05 (secondary)

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JF - Journal of Topology

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Locally discrete expanding groups of analytic diffeomorphisms of the circle

Abstract

Keywords

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