Thermodynamical Formalism Associated with Inducing Schemes for   One-dimensional Maps
  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 $\phi$ on I which admit a unique equilibrium measure $\mu_\phi$. Our results apply to unimodal maps corresponding to a positive Lebesgue measure set of parameters in a one-parameter transverse family. 
Yakov Pesin, Samuel Senti