SRB measures and Pesin’s entropy formula for endomorphisms

By Min Qian, Shunhui Zhu. 2001

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Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps (2008, result): “Some of these ideas can be traced back to [30,34,45] but since these papers do not use hyperbolic times, the results are less precise than here.”
Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (2006, background): “Qian and Zhu [210] extended the notion of SRB-measures to C(2) endomorphism via their inverse limits.”
Dynamics of meromorphic maps with small topological degree III: geometric currents and ergodic theory (2008, background): “ories of a transversal of P. Moreover, the dynamics of fˆ−n is uniformly exponentially contracting along the leaves. We leave the reader check that [LS, Prop. 3.1] can now be adapted easily –see also [QZ] for an adaptation of [LS] to a noninvertible situation, using Pesin’s theory. Corollary 7.8. h(”