Residual entropy, conditional entropy and subshift covers

By Mike Boyle, D. Fiebig, U. Fiebig. 2002

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Symbolic extensions for partially hyperbolic diffeomorphisms (2009, background): “In fact, the existence of symbolic extensions seems to be related to the notion of asymptotically h-expansive systems, as defined by Misiurecicz [24] (in Section 2 we review all relevant notions in the introduction).”
The entropy theory of symbolic extensions (2004, methodology): “Sex entropy was studied [ BFF , D2] in the notation of the residual entropy of T , which is by denition hres(T ) = hsex(T ) htop(T ). The residual entropy gives a coarse measure of describability of a system by symbolic dynamics.”
Symbolic extensions and smooth dynamical systems (2005, result): “In 2002 M. Boyle published his early examples and results in a joint paper with D. Fiebig and U. Fiebig [3].”
Entropy in dynamical systems (2003, methodology): “The outcome of this early work is published in [Boyle et al., 2002].”
Entropy-expansiveness for partially hyperbolic diffeomorphisms (2010, background): “expansiveness. We observe that the hypotheses of Theorem 1.1 prevents the creation of homoclinic tangencies by perturbations, see for instance [W]. Next we derive some consequences of Theorem 1.1. In [BFF] it is shown that every entropy-expansive diﬀeomorphism has a principal symbolic extension. We ”