Figure 1.
Rauzy diagram from Veech’s personal notes, June 21, 1977
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William A. Veech's publications
2019, 14: v-xxv.
doi: 10.3934/jmd.2019v
Bill Veech's contributions to dynamical systems
| 1. | Department of Mathematics, University of Maryland, College Park, MD 20742, USA |
| 2. | Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, IL 60637, USA |
| 3. | Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom |
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Giovanni Forni, Howard Masur, John Smillie. Bill Veech's contributions to dynamical systems. Journal of Modern Dynamics,
2019, 14: v-xxv.
doi: 10.3934/jmd.2019v
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References:
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J. Athreya, A. Bufetov, A. Eskin and M. Mirzakhani,
Lattice point asymptotics and volume growth on Teichmüller space, Duke Math. J., 161 (2012), 1055-1111.
doi: 10.1215/00127094-1548443. |
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A. Avila and V. Delecroix,
Weak mixing directions in non-arithmetic Veech surfaces, J. Amer. Math. Soc., 29 (2016), 1167-1208.
doi: 10.1090/jams/856. |
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A. Avila and G. Forni,
Weak mixing for interval exchange transformations, and translation flows, Ann. of Math., 165 (2007), 637-664.
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A. Avila and S. Gouëzel,
Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow, Ann. of Math., 178 (2013), 385-442.
doi: 10.4007/annals.2013.178.2.1. |
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A. Avila, S. Gouëzel and J.-C. Yoccoz,
Exponential mixing for the Teichmüller flow, Publications Mathématiques de l'IHÉS, 104 (2006), 143-211.
doi: 10.1007/s10240-006-0001-5. |
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A. Avila and M. Viana,
Simplicity of Lyapunov spectra: Proof of the Zorich–Kontsevich conjecture, Acta Math., 198 (2007), 1-56.
doi: 10.1007/s11511-007-0012-1. |
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M. Bainbridge, J. Smillie and B. Weiss, Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1), preprint, arXiv: 1603.00808. |
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D. Bernazzani,
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C. Boldrighini, M. Keane and F. Marchetti,
Billiards in polygons, Ann. Probab., 6 (1978), 532-540.
doi: 10.1214/aop/1176995475. |
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M. Boshernitzan,
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I. I. Bouw and M. Möller,
Teichmüller curves, triangle groups, and Lyapunov exponents, Ann. of Math., 172 (2010), 139-185.
doi: 10.4007/annals.2010.172.139. |
| [14] |
A. Bufetov,
Logarithmic asymptotics for the number of periodic orbits of the Teichmüller flow on Veech's space of zippered rectangles, Mosc. Math. J., 9 (2009), 245-261.
doi: 10.17323/1609-4514-2009-9-2-245-261. |
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K. Calta,
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D. Chen, M. Möller and D. Zagier,
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