journal article Dec 07, 1979

Hausdorff dimension of quasi-circles

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References
22
[1]
[1] A. Akaza, Local property of the singular sets of some Kleinian groups, Tohoku Math. J., 25 (1973), 1-22.
[2]
[2] A. F. Beardon, The Hausdorff dimension of singular sets of properly discontinuous groups, Amer. J. Math., 88 (1966), 722-736.
[3]
[3] A. F. Beardon, The exponent of convergence of Poincaré series, Proc. London Math. Soc. (3), 18 (1968), 461-483.
[4]
[4] L. Bers, Uniformization by Beltrami equations, Comm. Pure Appl. Math., 14 (1961), 215-228.
[5]
[5] L. Bers, Uniformization, moduli and Kleinian groups, Bull. London Math. Soc., 4 (1972), 257-300.
[6]
[6] L. Bers, On Hilbert's 22nd problem, Proc. Symp. Pure Math., 28 (1976), 559-609.
[7]
[7] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Springer Lecture Notes in Math., 470 (1975).
[8]
[8] V. Chuckrow, On Schottky groups with applications to Kleinian groups, Ann. of Math., 88 (1968), 47-61.
[9]
[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.
[10]
[10] A. N. Livshits, Homology properties of Y-systems, Math. Notes Acad. Sci. USSR, 19 (1971), 758-763.
[11]
[11] A. Marden, Isomorphisms between Fuchsian groups, in Advances in Complex Function Theory, Lecture Notes in Math., 505, Springer Verlag, 1976 (Kirwan & Zalcman Ed.).
[12]
[12] M. Morse, Symbolic dynamics (lecture notes), Institute for Advanced Study, Princeton.
[13]
[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.
[14]
[14] J. Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math., 50 (1927), 189-358.
[15]
[15] S. J. Patterson, The limit set of a Fuchsian group, Acta. Math., 136 (1976), 241-273.
[16]
[16] D. Ruelle, Statistical mechanics of a one-dimensional lattice gas, Comm. Math. Phys., 9 (1968), 267-278.
[17]
[17] D. Ruelle, Zeta-functions for expanding maps and Anosov flows, Inventiones Math., 34 (1975), 231-242.
[18]
[18] C. L. Siegel, Topics in complex function theory, vol. 2, Wiley-Interscience, 1971.
[19]
[19] Ya. G. Sinai, Gibbs measures in ergodic theory, Russ. Math. Surveys, no. 4 (166), 1972, 21-64.
[20]
[20] W. Veech, A second course in complex analysis, Benjamin, 1967.
[21]
[21] A. Zygmund, Trigonometric series, vol. 1, Cambridge, 1968.
[22]
[22] W. Thurston, Geometry and Topology of 3-manifolds, section 5.9, mimeographed notes, Princeton Univ., 1978.
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Published
Dec 07, 1979
Vol/Issue
50
Pages
11-25
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Cite This Article
Rufus Bowen (1979). Hausdorff dimension of quasi-circles. Publications Mathématiques de l'IHÉS, 50, 11-25. https://doi.org/10.1007/bf02684767
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