For topologically mixing locally expanding semigroup actions generated by a finite collection of $C^{1+\alpha}$ conformal local diffeomorphisms, we provide a countable Markov partition satisfying the finite images and the finite cycle properties. We show that they admit inducing schemes and describe the tower constructions associated with them. An important feature of these towers is that their induced maps are equivalent to a subshift of countable type. Through the investigating the ergodic properties of induced map, we prove the existence of a liftable absolutely continuous stationary measure for the original action. We then establish a thermodynamic formalism for induced map and deduce the unicity of eqiliberium state. 查看全文>>