Entropy Theory from the Orbital Point of View

By A. I. Danilenko. 2001

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Local entropy theory for a countable discrete amenable group action (2010, methodology): “The following two lemmas are proved in [7].”
Local Entropy Theory of a Random Dynamical System (2011, methodology): “3, we should recall almost all of the arguments of Danilenko in [16] and then re-write the whole process carried out in [37, §4].”
ENTROPY, DETERMINANTS, AND L 2 -TORSION (2012, background): “For convenience, we include a proof following [15].”
Homoclinic groups, IE groups, and expansive algebraic actions (2011, background): “4 of [14], the condition hμ(X) < +∞ is missing).”
Compact Group Automorphisms, Addition Formulas and Fuglede-Kadison Determinants (2010, methodology): “The proof for each of these addition formulas employs both topological and measure-theoretical tools, using generalization of the various fibre and conditional entropies studied in [19], and the addition formula for Γ-extensions in [12, 79] which in turn depends on Rudolph and Weiss’s orbit equivale”