The Temporality of Determinacy by Conor Husbands

Author:Conor Husbands
Language: eng
Format: epub
ISBN: 9783030865306
Publisher: Springer International Publishing

Dynamical Systems Theory and the Ergodic Hierarchy

One of the most lucid frameworks relevant for statistical mechanics and its relation to time is provided by dynamical systems theory. The framework envisages systems as combinations of states transformed through time by a formal operator. Frigg, Berkovitz and Kronz characterise such a system as a triple [X, μ, Tt], with the following further definitions:{Tt ∣ t is an instant of time} is a family of automorphisms, or transformations of X onto X

Tt is such that for all x ∈ X.47

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