A directional uniformity of periodic
point distribution and mixing
Pages: 1181 - 1189,
Volume 30,
Issue 4,
August 2011
doi:10.3934/dcds.2011.30.1181 Abstract
References
Full text (381.7K)
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Richard Miles - School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, United Kingdom (email)
Thomas Ward - School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, United Kingdom (email)
| 1 |
A. Baker, Linear forms in the logarithms of algebraic numbers. IV, Mathematika, 15 (1968), 204-216. |
|
| 2 |
R. Bowen, "Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms," Lecture Notes in Mathematics, 470, Springer-Verlag, Berlin, 1975. |
|
| 3 |
M. Boyle and D. Lind, Expansive subdynamics, Trans. Amer. Math. Soc., 349 (1997), 55-102. |
|
| 4 |
M. Einsiedler, M. Kapranov and D. Lind, Non-Archimedean amoebas and tropical varieties, J. Reine Angew. Math., 601 (2006), 139-157. |
|
| 5 |
M. Einsiedler and D. Lind, Algebraic $\mathbb Z^d$-actions of entropy rank one, Trans. Amer. Math. Soc., 356 (2004), 1799-1831. |
|
| 6 |
M. Einsiedler, D. Lind, R. Miles and T. Ward, Expansive subdynamics for algebraic $\mathbb Z^d$-actions, Ergodic Theory Dynam. Systems, 21 (2001), 1695-1729. |
|
| 7 |
Bruce Kitchens and K. Schmidt, Automorphisms of compact groups, Ergodic Theory Dynam. Systems, 9 (1989), 691-735. |
|
| 8 |
F. Ledrappier, Un champ markovien peut être d'entropie nulle et mélangeant, C. R. Acad. Sci. Paris Sér. A-B, 287 (1978), A561-A563. |
|
| 9 |
D. A. Lind, Dynamical properties of quasihyperbolic toral automorphisms, Ergodic Theory Dynamical Systems, 2 (1982), 49-68. |
|
| 10 |
R. Miles, Zeta functions for elements of entropy rank-one actions, Ergodic Theory Dynam. Systems, 27 (2007), 567-582. |
|
| 11 |
R. Miles and T. Ward, Periodic point data detects subdynamics in entropy rank one, Ergodic Theory Dynam. Systems, 26 (2006), 1913-1930. |
|
| 12 |
R. Miles and T. Ward, Uniform periodic point growth in entropy rank one, Proc. Amer. Math. Soc., 136 (2008), 359-365. |
|
| 13 |
K. Schmidt, "Dynamical Systems of Algebraic Origin," Progress in Mathematics, 128 Birkhäuser Verlag, Basel, 1995. |
|
| 14 |
T. Ward, The Bernoulli property for expansive $\mathbb Z$2 actions on compact groups, Israel J. Math., 79 (1992), 225-249. |
|
| 15 |
K. R. Yu, Linear forms in p-adic logarithms. II, Compositio Math., 74 (1990), 15-113. |
|
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