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Pullback attractors for 2DNavierStokes equations with delays in continuous and sublinear operators
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, 2018, 38 (9) : 46934713. doi: 10.3934/dcds.2018206 
[2] 
YuanLing Ye. Nonuniformly expanding dynamical systems: Multidimension. Discrete & Continuous Dynamical Systems, 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, 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, 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, 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, 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, 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, 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, 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, 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, 2007, 18 (2&3) : 569595. doi: 10.3934/dcds.2007.18.569 
[14] 
Vincent Lynch. Decay of correlations for nonHölder observables. Discrete & Continuous Dynamical Systems, 2006, 16 (1) : 1946. doi: 10.3934/dcds.2006.16.19 
[15] 
Marco Lenci. Uniformly expanding Markov maps of the real line: Exactness and infinite mixing. Discrete & Continuous Dynamical Systems, 2017, 37 (7) : 38673903. doi: 10.3934/dcds.2017163 
[16] 
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 
[17] 
Carlos Matheus, Jacob Palis. An estimate on the Hausdorff dimension of stable sets of nonuniformly hyperbolic horseshoes. Discrete & Continuous Dynamical Systems, 2018, 38 (2) : 431448. doi: 10.3934/dcds.2018020 
[18] 
Boris Kalinin, Victoria Sadovskaya. Lyapunov exponents of cocycles over nonuniformly hyperbolic systems. Discrete & Continuous Dynamical Systems, 2018, 38 (10) : 51055118. doi: 10.3934/dcds.2018224 
[19] 
Suzete Maria Afonso, Vanessa Ramos, Jaqueline Siqueira. Equilibrium states for nonuniformly hyperbolic systems: Statistical properties and analyticity. Discrete & Continuous Dynamical Systems, 2021, 41 (9) : 44854513. doi: 10.3934/dcds.2021045 
[20] 
Stefano Galatolo, Pietro Peterlongo. Long hitting time, slow decay of correlations and arithmetical properties. Discrete & Continuous Dynamical Systems, 2010, 27 (1) : 185204. doi: 10.3934/dcds.2010.27.185 
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