S. Alvarez, P. Barrientos, D. Filimonov, V. Kleptsyn, D. Malicet et al., Markov partitions and locally discrete groups of real-analytic circle diffeomorphisms

G. Baumslag, Topics in Combinatorial Group Theory, Lectures in Mathematics ETH Zürich, 1993.
DOI : 10.1007/978-3-0348-8587-4

M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature, Grundlehren Math. Wiss, vol.319, 1999.
DOI : 10.1007/978-3-662-12494-9

J. Cantwell and L. Conlon, Endsets of exceptional leaves; a theorem of G. Duminy, Proceedings of Foliations: Geometry and Dynamics, pp.225-261, 2000.

M. Culler and M. J. , Group Actions On R-Trees, Proc. London Math. Soc. (3), pp.571-604, 1987.
DOI : 10.1112/plms/s3-55.3.571

G. D. Ambra and M. Gromov, Lectures on the transformation groups: geometry and dynamics, J. Differential Geom, vol.1, pp.19-111, 1991.

A. Denjoy, Sur les courbes définies par les équations différentielles à la surface du tore, J. Math. Pures Appl, vol.9, issue.11, pp.333-375, 1932.

B. Deroin, D. A. Filimonov, V. A. Kleptsyn, and A. Navas, A paradigm for codimension one foliations, Advanced Studies in Pure Mathematics

B. Deroin, V. A. Kleptsyn, and A. Navas, Sur la dynamique unidimensionnelle en r??gularit?? interm??diaire, Acta Mathematica, vol.199, issue.2, pp.199-262, 2007.
DOI : 10.1007/s11511-007-0020-1
URL : http://arxiv.org/abs/math/0506063

P. R. Dippolito, Codimension one Foliations of Closed Manifolds, The Annals of Mathematics, vol.107, issue.3, pp.403-453, 1978.
DOI : 10.2307/1971123

M. J. Dunwoody, The accessibility of finitely presented groups, Inventiones Mathematicae, vol.1, issue.3, pp.449-457, 1985.
DOI : 10.1007/BFb0088140

P. M. Elizarov, Y. S. Il-yashenko, A. A. Shcherbakov, and S. M. Voronin, Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane, Nonlinear Stokes phenomena, pp.57-105, 1993.

A. Eskif and J. C. Rebelo, Global rigidity of conjugations for locally non-discrete subgroups of Diff ? (S 1 ), preprint, [ArXiv 1507, p.3855, 2015.

D. A. Filimonov and V. A. Kleptsyn, Structure of groups of circle diffeomorphisms with the property of fixing nonexpandable points, Functional Analysis and Its Applications, vol.5, issue.2, pp.191-209, 2012.
DOI : 10.1017/S014338570000290X

É. Ghys and V. Sergiescu, Sur un groupe remarquable de diff??omorphismes du cercle, Commentarii Mathematici Helvetici, vol.62, issue.1, pp.185-239, 1987.
DOI : 10.1007/BF02564445

É. Ghys, Classe d'euler et minimal exceptionnel, Topology, vol.26, issue.1, pp.93-105, 1987.
DOI : 10.1016/0040-9383(87)90024-3
URL : http://doi.org/10.1016/0040-9383(87)90024-3

W. Goldman, Discontinuous groups and Euler class, 1980.

M. Herman, Sur la Conjugaison Diff??rentiable des Diff??omorphismes du Cercle a des Rotations, Publications math??matiques de l'IH??S, vol.28, issue.4, pp.5-233, 1979.
DOI : 10.1002/cpa.3160280104

A. Karrass, A. Pietrowski, and D. Solitar, Finite and infinite cyclic extensions of free groups, Journal of the Australian Mathematical Society, vol.23, issue.04, pp.458-466, 1973.
DOI : 10.2307/2372201

A. Katok and B. Hassenblatt, Introduction to the Modern Theory of Dynamical Systems, Encyclopedia of Mathematics and its Applications, 1997.

N. Kuiper, Locally projective spaces of dimension one, Michigan Math, J, vol.2, pp.95-97, 1954.
DOI : 10.1307/mmj/1028989908

F. Loray and J. C. Rebelo, Minimal, rigid foliations by curves on ?? n, Journal of the European Mathematical Society, vol.5, issue.2, pp.147-201, 2003.
DOI : 10.1007/s10097-002-0049-6

W. Magnus, A. Karrass, and D. Solitar, Combinatorial group theory, revised Presentations of groups in terms of generators and relations, 1976.

Y. Matsuda, Des groupes de diff??omorphismes analytiques r??els du cercle qui ont une image finie sous l???application du nombre de rotation, Annales de l???institut Fourier, vol.59, issue.5, pp.1819-1845, 2009.
DOI : 10.5802/aif.2477

I. Nakai, Separatrices for non solvable dynamics on ${\Bbb C},0$, Annales de l???institut Fourier, vol.44, issue.2, pp.569-599, 1994.
DOI : 10.5802/aif.1410
URL : http://www.numdam.org/article/AIF_1994__44_2_569_0.pdf

A. Navas, On uniformly quasisymmetric groups of circle diffeomorphisms, Ann. Acad. Sci. Fenn. Math, vol.31, issue.2, pp.437-462, 2006.

A. Navas and M. Triestino, On the invariant distributions of $$C^2$$ circle diffeomorphisms of irrational rotation number, Mathematische Zeitschrift, vol.4, issue.1-2, pp.315-321, 2013.
DOI : 10.1090/S0002-9939-2013-11472-3

J. C. Rebelo, Ergodicity and rigidity for certain subgroups of Diff ? + (S 1 ), Ann. Sci. École Norm. Sup, vol.4, issue.32 4, pp.433-453, 1999.

R. Sacksteder, Foliations and Pseudogroups, American Journal of Mathematics, vol.87, issue.1, pp.79-102, 1965.
DOI : 10.2307/2373226

J. Serre, S. Arbres, and S. Mathématique-de-france, Avec un sommaire anglais, 1977.

M. Shub and D. Sullivan, Expanding endomorphisms of the circle revisited, Erg. Theory and Dynam, Systems, vol.5, issue.2, pp.285-289, 1985.

. Myasnitskaya and . Moscow, Russia email: mityafil@gmail.com Victor Kleptsyn CNRS

. Bât-de, France email: victor.kleptsyn@univ-rennes1, 4o Andar Campus do Gragoatá email: carlos_menino@id.uff.br Andrés Navas Universidad de Santiago de Chile (USACH) Alameda 3363, pp.22-23, 24210-01-201.