Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

Realizing subexponential entropy growth rates by cutting and stacking
Pages: 3435 - 3459, Issue 10, December 2015

doi:10.3934/dcdsb.2015.20.3435      Abstract        References        Full text (469.6K)           Related Articles

Frank Blume - Department of Mathematics, John Brown University, 2000 W. University St, Siloam Springs, AR 72761, United States (email)

1 F. Blume, An entropy estimate for infinite interval exchange transformations, Mathematische Zeitschrift, 272 (2012), 17-29.       
2 F. Blume, Minimal rates of entropy convergence for completely ergodic systems, Israel Journal of Mathematics, 108 (1998), 1-12.       
3 F. Blume, Minimal rates of entropy convergence for rank one systems, Discrete and Continuous Dynamical Systems, 6 (2000), 773-796.       
4 F. Blume, On the relation between entropy and the average complexity of trajectories in dynamical systems, Computational Complexity, 9 (2000), 146-155.       
5 F. Blume, On the relation between entropy convergence rates and Baire category, Mathematische Zeitschrift, 271 (2012), 723-750.       
6 F. Blume, Possible rates of entropy convergence, Ergodic Theory and Dynamical Systems, 17 (1997), 45-70.       
7 F. Blume, The Rate of Entropy Convergence, Doctoral Dissertation, University of North Carolina at Chapel Hill, 1995.       
8 A. Katok and J.-P. Thouvenot, Slow entropy type invariants and smooth realization of commuting measure-preserving transformations, Annales de l'Institut Henri Poincare (B) Probability and Statistics, 33 (1997), 323-338.       
9 W. Parry, Entropy and Generators in Ergodic Theory, Benjamin, New York, 1969.       
10 K. E. Petersen, Ergodic Theory, Cambridge University Press, New York, 1983.       

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