Entropy pairs and a local Abramov formula for a measure theoretical entropy of open covers

By Wen Huang, Alejandro Maass, Pierre Paul Romagnoli, Xiangdong Ye. Ergodic Theory and Dynamical Systems, 2004

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A local variational principle of pressure and its applications to equilibrium states (2007, methodology): “In [ 17 ], the authors showed that for an invertible TDS (X, T), � ∈ M(X, T) and U ∈ C 0 , i) h� (T, U) = h + (T, U) iff ii) htop(T, U) ≥ h + (T, U). If we let f”
Local Entropy Theory of a Random Dynamical System (2011, background): “Finally, we apply these results to the setting of a general topological dynamical system, extending many recent results in the local entropy theory of Z-actions ([32]) and of infinite countable discrete amenable group actions ([37]) to the setting of random dynamical systems, and obtaining some new ”
Homoclinic groups, IE groups, and expansive algebraic actions (2011, background): “[7–10,24,26,31–35]), and has been found to be related to combinatorial independence [39,40], which appeared first in Rosenthal’s [69] work on Banach spaces containing 1.”
Local entropy theory for a countable discrete amenable group action (2010, methodology): “We follow the arguments in the proof of [21, Lemma 5].”