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Specification and towers in shift spaces

Climenhaga, Vaughn...

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Specification and towers in shift spaces by Climenhaga, Vaughn ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	We show that a shift space on a finite alphabet with a non-uniform specification property can be modeled by a strongly positive recurrent countable-state Markov shift to which every equilibrium state lifts. In addition to uniqueness of the equilibrium state, this gives strong statistical properties including the Bernoulli property, exponential decay of correlations, central limit theorem, and analyticity of pressure, which are new even for uniform specification. We give applications to shifts of quasi-finite type, synchronised and coded shifts, and factors of beta-shifts and S-gap shifts.
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/1502.00931

Citation

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AMA 11th EditionReferences

Climenhaga, Vaughn. Specification and towers in shift spaces. Australian National University. September 07, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/24344

APA 7th EditionReferences

Climenhaga, Vaughn. (2023). Specification and towers in shift spaces. Australian National University. https://online.provdatabase.com/cite/24344

Chicago 17th EditionReferences

Climenhaga, Vaughn. Specification and towers in shift spaces. Australian National University. 2023. https://online.provdatabase.com/cite/24344

HarvardReferences

Climenhaga, Vaughn. (2023). Specification and towers in shift spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24344. (Accessed 19 September 2024).

Harvard AustraliaReferences

Climenhaga, Vaughn, 2023, Specification and towers in shift spaces, Australian National University, viewed 19 September 2024, <https://online.provdatabase.com/cite/24344>

MLA 9th EditionWorks Cited

Climenhaga, Vaughn. Specification and towers in shift spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24344.

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