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Parabolic dynamics and Anisotropic Banac...

Giulietti, Paolo...

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Parabolic dynamics and Anisotropic Banach spaces by Giulietti, Paolo ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We investigate the relation between the distributions appearing in the study of ergodic averages of parabolic flows (e.g. in the work of Flaminio-Forni) and the ones appearing in the study of the statistical properties of hyperbolic dynamical systems (i.e. the eigendistributions of the transfer operator). In order to avoid, as much as possible, technical issues that would cloud the basic idea, we limit ourselves to a simple flow on the torus. Our main result is that, roughly, the growth of ergodic averages of a parabolic flows is controlled by the eigenvalues of a suitable transfer operator associated to the renormalising dynamics. The conceptual connection that we illustrate is expected to hold in considerable generality.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1412.7181

Citation

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AMA 11th EditionReferences

Giulietti, Paolo. Parabolic dynamics and Anisotropic Banach spaces. Australian National University. September 06, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24115

APA 7th EditionReferences

Giulietti, Paolo. (2023). Parabolic dynamics and Anisotropic Banach spaces. Australian National University. https://online.provdatabase.com/cite/24115

Chicago 17th EditionReferences

Giulietti, Paolo. Parabolic dynamics and Anisotropic Banach spaces. Australian National University. 2023. https://online.provdatabase.com/cite/24115

HarvardReferences

Giulietti, Paolo. (2023). Parabolic dynamics and Anisotropic Banach spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24115. (Accessed 01 November 2024).

Harvard AustraliaReferences

Giulietti, Paolo, 2023, Parabolic dynamics and Anisotropic Banach spaces, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24115>

MLA 9th EditionWorks Cited

Giulietti, Paolo. Parabolic dynamics and Anisotropic Banach spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24115.

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