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Ulam's method for some nonuniformly expanding maps
1.  Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand 
[1] 
Yunping Jiang, YuanLing Ye. Convergence speed of a Ruelle operator associated with a nonuniformly expanding conformal dynamical system and a Dini potential. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 46934713. doi: 10.3934/dcds.2018206 
[2] 
YuanLing Ye. Nonuniformly expanding dynamical systems: Multidimension. Discrete & Continuous Dynamical Systems  A, 2019, 39 (5) : 25112553. doi: 10.3934/dcds.2019106 
[3] 
José F. Alves. Nonuniformly expanding dynamics: Stability from a probabilistic viewpoint. Discrete & Continuous Dynamical Systems  A, 2001, 7 (2) : 363375. doi: 10.3934/dcds.2001.7.363 
[4] 
Christopher Bose, Rua Murray. The exact rate of approximation in Ulam's method. Discrete & Continuous Dynamical Systems  A, 2001, 7 (1) : 219235. doi: 10.3934/dcds.2001.7.219 
[5] 
Xueting Tian, Paulo Varandas. Topological entropy of level sets of empirical measures for nonuniformly expanding maps. Discrete & Continuous Dynamical Systems  A, 2017, 37 (10) : 54075431. doi: 10.3934/dcds.2017235 
[6] 
José F. Alves. A survey of recent results on some statistical features of nonuniformly expanding maps. Discrete & Continuous Dynamical Systems  A, 2006, 15 (1) : 120. doi: 10.3934/dcds.2006.15.1 
[7] 
Jose F. Alves; Stefano Luzzatto and Vilton Pinheiro. Markov structures for nonuniformly expanding maps on compact manifolds in arbitrary dimension. Electronic Research Announcements, 2003, 9: 2631. 
[8] 
Karla DíazOrdaz. Decay of correlations for nonHölder observables for onedimensional expanding Lorenzlike maps. Discrete & Continuous Dynamical Systems  A, 2006, 15 (1) : 159176. doi: 10.3934/dcds.2006.15.159 
[9] 
Michiko Yuri. Polynomial decay of correlations for intermittent sofic systems. Discrete & Continuous Dynamical Systems  A, 2008, 22 (1&2) : 445464. doi: 10.3934/dcds.2008.22.445 
[10] 
Nicolai T. A. Haydn, Kasia Wasilewska. Limiting distribution and error terms for the number of visits to balls in nonuniformly hyperbolic dynamical systems. Discrete & Continuous Dynamical Systems  A, 2016, 36 (5) : 25852611. doi: 10.3934/dcds.2016.36.2585 
[11] 
F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi and R. Ures. A criterion for ergodicity for nonuniformly hyperbolic diffeomorphisms. Electronic Research Announcements, 2007, 14: 7481. doi: 10.3934/era.2007.14.74 
[12] 
Jérôme Buzzi, Véronique MaumeDeschamps. Decay of correlations on towers with nonHölder Jacobian and nonexponential return time. Discrete & Continuous Dynamical Systems  A, 2005, 12 (4) : 639656. doi: 10.3934/dcds.2005.12.639 
[13] 
Mikhail B. Sevryuk. Invariant tori in quasiperiodic nonautonomous dynamical systems via Herman's method. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 569595. doi: 10.3934/dcds.2007.18.569 
[14] 
Marco Lenci. Uniformly expanding Markov maps of the real line: Exactness and infinite mixing. Discrete & Continuous Dynamical Systems  A, 2017, 37 (7) : 38673903. doi: 10.3934/dcds.2017163 
[15] 
Vincent Lynch. Decay of correlations for nonHölder observables. Discrete & Continuous Dynamical Systems  A, 2006, 16 (1) : 1946. doi: 10.3934/dcds.2006.16.19 
[16] 
Carlos Matheus, Jacob Palis. An estimate on the Hausdorff dimension of stable sets of nonuniformly hyperbolic horseshoes. Discrete & Continuous Dynamical Systems  A, 2018, 38 (2) : 431448. doi: 10.3934/dcds.2018020 
[17] 
Boris Kalinin, Victoria Sadovskaya. Lyapunov exponents of cocycles over nonuniformly hyperbolic systems. Discrete & Continuous Dynamical Systems  A, 2018, 38 (10) : 51055118. doi: 10.3934/dcds.2018224 
[18] 
Snir Ben Ovadia. Symbolic dynamics for nonuniformly hyperbolic diffeomorphisms of compact smooth manifolds. Journal of Modern Dynamics, 2018, 13: 43113. doi: 10.3934/jmd.2018013 
[19] 
Stefano Galatolo, Pietro Peterlongo. Long hitting time, slow decay of correlations and arithmetical properties. Discrete & Continuous Dynamical Systems  A, 2010, 27 (1) : 185204. doi: 10.3934/dcds.2010.27.185 
[20] 
Romain Aimino, Huyi Hu, Matthew Nicol, Andrei Török, Sandro Vaienti. Polynomial loss of memory for maps of the interval with a neutral fixed point. Discrete & Continuous Dynamical Systems  A, 2015, 35 (3) : 793806. doi: 10.3934/dcds.2015.35.793 
2017 Impact Factor: 1.179
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