Fiber entropy and conditional variational principles in compact non-metrizable spaces

By Tomasz Downarowicz, J. Serafin. 2002

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Compact Group Automorphisms, Addition Formulas and Fuglede-Kadison Determinants (2010, methodology): “A systematic study of various fibre and conditional entropies was carried out in [19] for dynamical systems of continuous maps on compact Hausdorff spaces.”
Entropy in dynamical systems (2003, background): “In [Downarowicz and Serafin, 2002] the reader will find a version valid just for entropy but also in nonmetrizable spaces, as well as the Outer Variational Principle.”
Symbolic extensions and smooth dynamical systems (2005, background): “We remark that the fact the we have the “inf” in (3) follows from [8].”
Residual entropy, conditional entropy and subshift covers (2002, background): “As explained in [ DS ], it is not di‐cult to check that the relation of the two deflnitions is given by h(XjY)• e ⁄ (’)• h(XjY)+h ⁄ (T) ; so e ⁄ (’)= h(XjY)inthecasethat h ⁄ (T)=0,andthereforeourTheorem6.7can beobtained as a corollary of their result.”