This chapter presents additional computations concerning dynamical entropy. It first computes the dynamical entropy of the quantum cat map. It then defines, for a class of non-commutative dynamical systems with a tracial invariant state, a kind of non-commutative Riemannian structure connected to Dirichlet forms that allows the definition of non-commutative Lyapunov exponents and proves Ruelle's inequality. Finally, dynamical entropy is computed for a class of quasi-free Fermionic systems. The proof exploits some ideas from scattering theory like Cook's criterion.
Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
If you think you should have access to this title, please contact your librarian.