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1.  IMPA, Estrada Dona Castorina 110, Rio de Janeiro, RJ 22460320, Brazil 
2.  Department of Mathematics, Wichita State University, Wichita, Kansas, 67260 
[1] 
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 
[2] 
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 
[3] 
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 
[4] 
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 
[5] 
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 
[6] 
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 
[7] 
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 
[8] 
Marzie Zaj, Abbas Fakhari, Fatemeh Helen Ghane, Azam Ehsani. Physical measures for certain class of nonuniformly hyperbolic endomorphisms on the solid torus. Discrete & Continuous Dynamical Systems  A, 2018, 38 (4) : 17771807. doi: 10.3934/dcds.2018073 
[9] 
Mark Pollicott. Local Hölder regularity of densities and Livsic theorems for nonuniformly hyperbolic diffeomorphisms. Discrete & Continuous Dynamical Systems  A, 2005, 13 (5) : 12471256. doi: 10.3934/dcds.2005.13.1247 
[10] 
DeJun Feng, Antti Käenmäki. Equilibrium states of the pressure function for products of matrices. Discrete & Continuous Dynamical Systems  A, 2011, 30 (3) : 699708. doi: 10.3934/dcds.2011.30.699 
[11] 
Rua Murray. Ulam's method for some nonuniformly expanding maps. Discrete & Continuous Dynamical Systems  A, 2010, 26 (3) : 10071018. doi: 10.3934/dcds.2010.26.1007 
[12] 
YuanLing Ye. Nonuniformly expanding dynamical systems: Multidimension. Discrete & Continuous Dynamical Systems  A, 2019, 39 (5) : 25112553. doi: 10.3934/dcds.2019106 
[13] 
Alexander Arbieto, Luciano Prudente. Uniqueness of equilibrium states for some partially hyperbolic horseshoes. Discrete & Continuous Dynamical Systems  A, 2012, 32 (1) : 2740. doi: 10.3934/dcds.2012.32.27 
[14] 
Masayuki Asaoka, Kenichiro Yamamoto. On the large deviation rates of nonentropyapproachable measures. Discrete & Continuous Dynamical Systems  A, 2013, 33 (10) : 44014410. doi: 10.3934/dcds.2013.33.4401 
[15] 
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 
[16] 
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 
[17] 
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. 
[18] 
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer. On the $\Gamma$limit for a nonuniformly bounded sequence of twophase metric functionals. Discrete & Continuous Dynamical Systems  A, 2015, 35 (1) : 411426. doi: 10.3934/dcds.2015.35.411 
[19] 
Dongkui Ma, Min Wu. Topological pressure and topological entropy of a semigroup of maps. Discrete & Continuous Dynamical Systems  A, 2011, 31 (2) : 545556. doi: 10.3934/dcds.2011.31.545 
[20] 
Yueling Li, Yingchao Xie, Xicheng Zhang. Large deviation principle for stochastic heat equation with memory. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 52215237. doi: 10.3934/dcds.2015.35.5221 
2018 Impact Factor: 1.143
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