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Generic 3dimensional volumepreserving diffeomorphisms with superexponential growth of number of periodic orbits
1.  Mathematics 25337, California Institute of Technology, Pasadena, CA, 91106, United States 
2.  Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada 
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S. Eigen, A. B. Hajian, V. S. Prasad. Universal skyscraper templates for infinite measure preserving transformations. Discrete and Continuous Dynamical Systems, 2006, 16 (2) : 343360. doi: 10.3934/dcds.2006.16.343 
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Tatiane C. Batista, Juliano S. Gonschorowski, Fábio A. Tal. Density of the set of endomorphisms with a maximizing measure supported on a periodic orbit. Discrete and Continuous Dynamical Systems, 2015, 35 (8) : 33153326. doi: 10.3934/dcds.2015.35.3315 
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Christian Bonatti, Lorenzo J. Díaz, Todd Fisher. Superexponential growth of the number of periodic orbits inside homoclinic classes. Discrete and Continuous Dynamical Systems, 2008, 20 (3) : 589604. doi: 10.3934/dcds.2008.20.589 
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Zhihong Xia. Homoclinic points and intersections of Lagrangian submanifold. Discrete and Continuous Dynamical Systems, 2000, 6 (1) : 243253. doi: 10.3934/dcds.2000.6.243 
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Vadim Yu. Kaloshin and Brian R. Hunt. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. Electronic Research Announcements, 2001, 7: 2836. 
[12] 
Vadim Yu. Kaloshin and Brian R. Hunt. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I. Electronic Research Announcements, 2001, 7: 1727. 
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K. H. Kim, F. W. Roush and J. B. Wagoner. Inert actions on periodic points. Electronic Research Announcements, 1997, 3: 5562. 
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[20] 
Peter Giesl. Converse theorem on a global contraction metric for a periodic orbit. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 53395363. doi: 10.3934/dcds.2019218 
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