References
- R. Adler, A. Konheim, and M. McAndrew, Topological entropy, Trans. Am. Math. Soc. 114 (1965), pp. 309–319.
- L. Barreira, A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems, Ergod. Theory Dyn. Syst. 16 (1996), pp. 871–927.
- R. Bowen, Topological entropy for noncompact sets, Trans. Am. Math. Soc. 184 (1973), pp. 125–136.
- Y. Cao, D. Feng, and W. Huang, The thermodynamic formalism for sub-multiplicative potentials, Discrete Contin. Dyn. Syst. Ser. A 20 (2008), pp. 639–657.
- Y. Cao, H. Hu, and Y. Zhao, Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure, Ergod. Theory Dyn. Syst. 33 (2013), pp. 831–850.
- E. Dinaburg, The relation between topological entropy and metric entropy, Sov. Math. 11 (1970), pp. 13–16.
- D. Feng and W. Huang, Variational principle for the weighted topological pressure, J. Math. Pures Appl. 106 (2016), pp. 411–452.
- T. Goodman, Relating topological entropy and measure entropy, Bull. Lond. Math. Soc. 3 (1971), pp. 176–180.
- L. Goodwyn, Topological entropy bounds measure-theoretic entropy, Proc. Am. Math. Soc. 23 (1969), pp. 679–688.
- L. He, J. Lv, and L. Zhou, Definition of measure-theoretic pressure using spanning sets, Acta Math. Sin. (Engl. Ser.) 20 (2004), pp. 709–718.
- A. Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, IHES Pub. 51 (1980), pp. 137–173.
- Y. Pesin, Dimension Theory in Tynamical Systems: Contemporary Views and Applications, University of Chicago Press, Chicago, 1997.
- Y. Pesin and B. Pitskel', Topological pressure and the variational principle for noncompact sets, Funct. Anal. Appl. 18 (1984), pp. 50–63.
- D. Ruelle, Statistical mechanics on a compact set with Zv action satisfying expansiveness and specification, Trans. Am. Math. Soc. 185 (1973), pp. 237–251.
- M. Tsukamoto, New approach to weighted topological entropy and pressure. Ergod. Theory Dyn. Syst. 43 (2023), pp. 1004–1034.
- P. Walters, A variational principle for the pressure of continuous transformations, Am. J. Math. 97 (1975), pp. 937–971.
- P. Walters, An Introduction to Ergodic Theory, Springer-Verlag, New York-Berlin, 1982.
- T. Wang and Y. Huang, Weighted topological and measure-theoretic entropy, Discrete Contin. Dyn. Syst. 39 (2019), pp. 3941–3967.
- Y. Zhao and Y. Cao, Measure-theoretic pressure for subadditive potentials, Nonlinear Anal. 70 (2009), pp. 2237–2247.
- C. Zhao, E. Chen, X. Zhou, and Z. Yin, Weighted topological entropy of the set of generic points in topological dynamical systems, J. Dyn. Differ. Equ. 30 (2018), pp. 937–955.