Mihailescu, Eugen2024-07-122024-07-122009Mihailescu, E. (2009). Dynamics for hyperbolic non-invertible maps. Maltepe Üniversitesi. s. 157.9.78605E+12https://hdl.handle.net/20.500.12415/2332We will talk about methods and results in the dynamics of hyperbolic non-invertible maps. One important direction is that of applying thermodynamical formalism (entropy, pressure, inverse pressure) to study various metric properties of fractals obtained from iterations of hyperbolic maps on basic sets. For example inverse pressure helps us estimate the Hausdorff dimension of fractal intersections in the basic set. Another direction is the ergodic study of the invariant measures supported on such sets, in particular the equilibrium measures, and their conditional measures relative to various partitions.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object158157