Thermodynamical Formalism Associated with Inducing Schemes for One-dimensional Maps
نویسنده
چکیده
For a smooth map f of a compact interval I admitting an inducing scheme we establish a thermodynamical formalism, i.e., describe a class of real-valued potential functions φ on I which admit a unique equilibrium measure μφ. Our results apply to unimodal maps corresponding to a positive Lebesgue measure set of parameters in a one-parameter transverse family. 2000 Math. Subj. Class. 37D25, 37D35, 37E05, 37E10.
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