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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] 
Suzete Maria Afonso, Vanessa Ramos, Jaqueline Siqueira. Equilibrium states for nonuniformly hyperbolic systems: Statistical properties and analyticity. Discrete and Continuous Dynamical Systems, 2021, 41 (9) : 44854513. doi: 10.3934/dcds.2021045 
[2] 
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 
[3] 
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 
[4] 
Carlos Matheus, Jacob Palis. An estimate on the Hausdorff dimension of stable sets of nonuniformly hyperbolic horseshoes. Discrete and Continuous Dynamical Systems, 2018, 38 (2) : 431448. doi: 10.3934/dcds.2018020 
[5] 
Boris Kalinin, Victoria Sadovskaya. Lyapunov exponents of cocycles over nonuniformly hyperbolic systems. Discrete and Continuous Dynamical Systems, 2018, 38 (10) : 51055118. doi: 10.3934/dcds.2018224 
[6] 
José F. Alves. Nonuniformly expanding dynamics: Stability from a probabilistic viewpoint. Discrete and Continuous Dynamical Systems, 2001, 7 (2) : 363375. doi: 10.3934/dcds.2001.7.363 
[7] 
Xueting Tian, Paulo Varandas. Topological entropy of level sets of empirical measures for nonuniformly expanding maps. Discrete and Continuous Dynamical Systems, 2017, 37 (10) : 54075431. doi: 10.3934/dcds.2017235 
[8] 
Nicolai T. A. Haydn, Kasia Wasilewska. Limiting distribution and error terms for the number of visits to balls in nonuniformly hyperbolic dynamical systems. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 25852611. doi: 10.3934/dcds.2016.36.2585 
[9] 
Marzie Zaj, Abbas Fakhari, Fatemeh Helen Ghane, Azam Ehsani. Physical measures for certain class of nonuniformly hyperbolic endomorphisms on the solid torus. Discrete and Continuous Dynamical Systems, 2018, 38 (4) : 17771807. doi: 10.3934/dcds.2018073 
[10] 
Mark Pollicott. Local Hölder regularity of densities and Livsic theorems for nonuniformly hyperbolic diffeomorphisms. Discrete and Continuous Dynamical Systems, 2005, 13 (5) : 12471256. doi: 10.3934/dcds.2005.13.1247 
[11] 
DeJun Feng, Antti Käenmäki. Equilibrium states of the pressure function for products of matrices. Discrete and Continuous Dynamical Systems, 2011, 30 (3) : 699708. doi: 10.3934/dcds.2011.30.699 
[12] 
YuanLing Ye. Nonuniformly expanding dynamical systems: Multidimension. Discrete and Continuous Dynamical Systems, 2019, 39 (5) : 25112553. doi: 10.3934/dcds.2019106 
[13] 
Rua Murray. Ulam's method for some nonuniformly expanding maps. Discrete and Continuous Dynamical Systems, 2010, 26 (3) : 10071018. doi: 10.3934/dcds.2010.26.1007 
[14] 
Alexander Arbieto, Luciano Prudente. Uniqueness of equilibrium states for some partially hyperbolic horseshoes. Discrete and Continuous Dynamical Systems, 2012, 32 (1) : 2740. doi: 10.3934/dcds.2012.32.27 
[15] 
José F. Alves. A survey of recent results on some statistical features of nonuniformly expanding maps. Discrete and Continuous Dynamical Systems, 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 and Continuous Dynamical Systems, 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 and Continuous Dynamical Systems, 2015, 35 (1) : 411426. doi: 10.3934/dcds.2015.35.411 
[19] 
Masayuki Asaoka, Kenichiro Yamamoto. On the large deviation rates of nonentropyapproachable measures. Discrete and Continuous Dynamical Systems, 2013, 33 (10) : 44014410. doi: 10.3934/dcds.2013.33.4401 
[20] 
Dongkui Ma, Min Wu. Topological pressure and topological entropy of a semigroup of maps. Discrete and Continuous Dynamical Systems, 2011, 31 (2) : 545557 . doi: 10.3934/dcds.2011.31.545 
2020 Impact Factor: 1.392
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