[1] Bowen R. Equilibrium states and the ergodic theory of Anosov diffeomorphisms//Lect Notes in Math 470. Berlin Heidelberg:Springer-Verlag, 1975
[2] Barreira L. A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Ergodic Theory Dynam Systems, 1996, 16:871-927
[3] Cao Y, Feng D, Huang W. The thermodynamic formalism for sub-multiplicative potentials. Discrete Contin Dyn Syst, 2008, 20:639-657
[4] Cao Y, Hu H, Zhao Y. Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure. Ergodic Theory Dynam. Systems, 2013, 33:831-850
[5] Falconer K. A subadditive thermodynamic formalism for mixing repellers. J Phys A, 1988, 21:737-742
[6] Huang P, Chen E, Wang C. Katok's entropy formula of unstable metric entropy for partially hyperbolic diffeomorphisms. Preprint. arXiv:1811. 05278v2
[7] He L, Lv J, Zhou L. Definition of measure-theoretic pressure using spanning sets. Acta Math Sinica Engl Ser, 2004, 20:709-718
[8] Hu H, Hua Y, Wu W. Unstable entropies and variational principle for partially hyperbolic diffeomorphisms. Adv Math, 2017, 321:31-68
[9] Hu H, Wu W, Zhu Y. Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms. Preprint. arXiv:1710. 02816v1, doi:10. 1017/etds. 2020. 105
[10] Katok A. Lyapunov exponents, entropy and periodic orbits for diffeomorphisms. Inst Hautes Études SciPubl Math, 1980, 51:137-173
[11] Pesin Ya, Pitskel B. Topological pressure and the variational principle for noncompact sets. Functional Anal Appl, 1984, 18:307-318
[12] Rohlin A V. On the fundamental ideas of measure theory. J Amer Math Soc Translation, 1952, 71:55 pp
[13] Ruelle D. Statistical mechanics on a compact set with Zv action satisfying expansiveness and specification. Trans Amer Math Soc, 1973, 187:237-251
[14] Tian X, Wu W. Unstable entropies and dimension theory of partially hyperbolic systems. Preprint. arXiv:1811. 03797
[15] Walters P. A variational principle for the pressure of continuous transformations. Amer J Math, 1975, 97:937-971
[16] Walters P. An introduction to ergodic theory. Graduate Texts in Mathematics. 79. New York-Berlin:Springer-Verlag, 1982
[17] Zhang W, Li Z, Zhou Y. Unstable topological pressure of partially hyperbolic diffeomorphisms with subadditive potentials. Preprint. arXiv:2008. 00454v2
[18] Zhang W, Li Z, Zhou Y. Unstable metric pressure of partially hyperbolic diffeomorphisms with sub-additive potentials. Nonlinearity, 2020, 30:6915-6934
[19] Zhao Y, Cao Y. Measure theoretic pressure for subadditive potentials. Nonlinear Analysis, 2009, 70:2237- 2247
[20] Zhao Y. A note on the measure theoretic pressure in subadditive case. Chinese Annals of Math Series A, 2008, 3:325-332 |