| 书目名称 | Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps |
| 副标题 | A Functional Approac |
| 编辑 | Viviane Baladi |
| 视频video | |
| 概述 | Collects recent results on transfer operators, anisotropic Banach spaces, and dynamical determinants of hyperbolic systems.Gives a self-contained account of proofs (some of them new) starting with the |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | .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 dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators...In the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley–Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part...This is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century.. |
| 出版日期 | Book 2018 |
| 关键词 | dynamical zeta functions; Ruelle transfer operators; Anosov diffeomorphisms; anisotropic Banach Spaces; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-77661-3 |
| isbn_softcover | 978-3-030-08505-6 |
| isbn_ebook | 978-3-319-77661-3Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer International Publishing AG, part of Springer Nature 2018 |
发表于 2025-3-21 17:32:22
