Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps A Functional Approach /

• Main Author: Baladi, Viviane (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 68
• Subjects: Dynamics.; Ergodic theory.; Functional analysis.; Operator theory.; Dynamical Systems and Ergodic Theory.; Functional Analysis.; Operator Theory.

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamic...