Inducing Schemes with Finite Weighted Complexity.
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| Title: | Inducing Schemes with Finite Weighted Complexity. |
|---|---|
| Authors: | Chen, Jianyu1 (AUTHOR) jychen@suda.edu.cn, Wang, Fang2 (AUTHOR), Zhang, Hong-Kun3 (AUTHOR) |
| Source: | Journal of Statistical Physics. Dec2023, Vol. 190 Issue 12, p1-26. 26p. |
| Subjects: | Invariant measures, Statistical equilibrium, Compact spaces (Topology) |
| Abstract: | In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermodynamic formalism for a parameter family of potentials φ + t ψ in an interval containing t = 0 . Furthermore, if there is a generating partition compatible to the inducing scheme, we show that all ergodic invariant measures with sufficiently large pressure are liftable. Baladi and Demers (J Am Math Soc 33(2):381–449, 2020; J Mod Dyn 18:415–493, 2022) established general thermodynamic formalism for the Sinai dispersing billiards. As an application, our results provide an alternative proof for the existence, uniqueness and statistical properties of the equilibrium measures for the Sinai dispersing billiards with respect to the family of geometric potentials. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 173820969 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Inducing Schemes with Finite Weighted Complexity. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chen%2C+Jianyu%22">Chen, Jianyu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jychen@suda.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Fang%22">Wang, Fang</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Hong-Kun%22">Zhang, Hong-Kun</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Statistical+Physics%22">Journal of Statistical Physics</searchLink>. Dec2023, Vol. 190 Issue 12, p1-26. 26p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Invariant+measures%22">Invariant measures</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+equilibrium%22">Statistical equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Compact+spaces+%28Topology%29%22">Compact spaces (Topology)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermodynamic formalism for a parameter family of potentials φ + t ψ in an interval containing t = 0 . Furthermore, if there is a generating partition compatible to the inducing scheme, we show that all ergodic invariant measures with sufficiently large pressure are liftable. Baladi and Demers (J Am Math Soc 33(2):381–449, 2020; J Mod Dyn 18:415–493, 2022) established general thermodynamic formalism for the Sinai dispersing billiards. As an application, our results provide an alternative proof for the existence, uniqueness and statistical properties of the equilibrium measures for the Sinai dispersing billiards with respect to the family of geometric potentials. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10955-023-03207-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: 1 Subjects: – SubjectFull: Invariant measures Type: general – SubjectFull: Statistical equilibrium Type: general – SubjectFull: Compact spaces (Topology) Type: general Titles: – TitleFull: Inducing Schemes with Finite Weighted Complexity. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chen, Jianyu – PersonEntity: Name: NameFull: Wang, Fang – PersonEntity: Name: NameFull: Zhang, Hong-Kun IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 00224715 Numbering: – Type: volume Value: 190 – Type: issue Value: 12 Titles: – TitleFull: Journal of Statistical Physics Type: main |
| ResultId | 1 |
