Titlebook: Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps; A Functional Approac Viviane Baladi Book 2018 Springer Internation

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Dynamical determinants for smooth hyperbolic dynamicseighted dynamical determinant, giving a lower bound on the disc in which this determinant is analytic and where its zeroes admit a spectral interpretation. We apply the results obtained on the weighted dynamical determinant to study the dynamical zeta function.

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抚慰

ZinnThis chapter describes a third scale of anisotropic Banach spaces of distributions, for which the best known bounds on the essential spectral radius of the transfer operator are known, improving those given in Chapter 4. The last section implements the Gouëzel-Keller-Liverani perturbation theory for this third type of Banach spaces.

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A variational formula for the essential spectral radiusThis chapter describes a third scale of anisotropic Banach spaces of distributions, for which the best known bounds on the essential spectral radius of the transfer operator are known, improving those given in Chapter 4. The last section implements the Gouëzel-Keller-Liverani perturbation theory for this third type of Banach spaces.

EXCEL

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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematihttp://image.papertrans.cn/e/image/283915.jpg

尖叫

Manganmics and weights, replacing the Hölder spaces by Sobolev spaces. The chapter ends with the Gouëzel-Keller-Liverani perturbation theory, which will also be applicable in the hyperbolic setting of Part II.

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