Hausdorff dimension of quasi-circles
Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 11-25.
@article{PMIHES_1979__50__11_0,
     author = {Bowen, Rufus},
     title = {Hausdorff dimension of quasi-circles},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {11--25},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {50},
     year = {1979},
     mrnumber = {81g:57023},
     zbl = {0439.30032},
     language = {en},
     url = {http://www.numdam.org./item/PMIHES_1979__50__11_0/}
}
TY  - JOUR
AU  - Bowen, Rufus
TI  - Hausdorff dimension of quasi-circles
JO  - Publications Mathématiques de l'IHÉS
PY  - 1979
SP  - 11
EP  - 25
VL  - 50
PB  - Institut des Hautes Études Scientifiques
UR  - http://www.numdam.org./item/PMIHES_1979__50__11_0/
LA  - en
ID  - PMIHES_1979__50__11_0
ER  - 
%0 Journal Article
%A Bowen, Rufus
%T Hausdorff dimension of quasi-circles
%J Publications Mathématiques de l'IHÉS
%D 1979
%P 11-25
%V 50
%I Institut des Hautes Études Scientifiques
%U http://www.numdam.org./item/PMIHES_1979__50__11_0/
%G en
%F PMIHES_1979__50__11_0
Bowen, Rufus. Hausdorff dimension of quasi-circles. Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 11-25. http://www.numdam.org./item/PMIHES_1979__50__11_0/

[1] A. Akaza, Local property of the singular sets of some Kleinian groups, Tohoku Math. J., 25 (1973), 1-22. | MR | Zbl

[2] A. F. Beardon, The Hausdorff dimension of singular sets of properly discontinuous groups, Amer. J. Math., 88 (1966), 722-736. | MR | Zbl

[3] A. F. Beardon, The exponent of convergence of Poincaré series, Proc. London Math. Soc. (3), 18 (1968), 461-483. | MR | Zbl

[4] L. Bers, Uniformization by Beltrami equations, Comm. Pure Appl. Math., 14 (1961), 215-228. | MR | Zbl

[5] L. Bers, Uniformization, moduli and Kleinian groups, Bull. London Math. Soc., 4 (1972), 257-300. | MR | Zbl

[6] L. Bers, On Hilbert's 22nd problem, Proc. Symp. Pure Math., 28 (1976), 559-609. | MR | Zbl

[7] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Springer Lecture Notes in Math., 470 (1975). | MR | Zbl

[8] V. Chuckrow, On Schottky groups with applications to Kleinian groups, Ann. of Math., 88 (1968), 47-61. | MR | Zbl

[9] G. A. Hedlund, On the metrical transitivity of the geodesics on closed surfaces of constant negative curvature, Annals of Math., 35 (1934), 787-808. | JFM | Zbl

[10] A. N. Livshits, Homology properties of Y-systems, Math. Notes Acad. Sci. USSR, 19 (1971), 758-763. | Zbl

[11] A. Marden, Isomorphisms between Fuchsian groups, in Advances in Complex Function Theory, Lecture Notes in Math., 505, Springer Verlag, 1976 (Kirwan & Zalcman Ed.). | MR | Zbl

[12] M. Morse, Symbolic dynamics (lecture notes), Institute for Advanced Study, Princeton. | JFM | Zbl

[13] G. D. Mostow, Strong rigidity of locally symmetric spaces, Princeton Univ. Press, 1973, p. 178. Also : Rigidity of real hyperbolic space forms, Publ. math. IHES, vol. 34 (1968), 53-104. | Numdam | Zbl

[14] J. Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math., 50 (1927), 189-358. | JFM

[15] S. J. Patterson, The limit set of a Fuchsian group, Acta. Math., 136 (1976), 241-273. | MR | Zbl

[16] D. Ruelle, Statistical mechanics of a one-dimensional lattice gas, Comm. Math. Phys., 9 (1968), 267-278. | MR | Zbl

[17] D. Ruelle, Zeta-functions for expanding maps and Anosov flows, Inventiones Math., 34 (1975), 231-242. | MR | Zbl

[18] C. L. Siegel, Topics in complex function theory, vol. 2, Wiley-Interscience, 1971. | Zbl

[19] Ya. G. Sinai, Gibbs measures in ergodic theory, Russ. Math. Surveys, no. 4 (166), 1972, 21-64. | MR | Zbl

[20] W. Veech, A second course in complex analysis, Benjamin, 1967. | MR | Zbl

[21] A. Zygmund, Trigonometric series, vol. 1, Cambridge, 1968. | MR | Zbl

[22] W. Thurston, Geometry and Topology of 3-manifolds, section 5.9, mimeographed notes, Princeton Univ., 1978.