SRB Measures for Mostly Expanding Partially Hyperbolic Diffeomorphisms via the Variational Approach

David Burguet; Dawei Yang

doi:10.1093/imrn/rnaf053

SRB Measures for Mostly Expanding Partially Hyperbolic Diffeomorphisms via the Variational Approach

David Burguet
, Dawei Yang

Université de Picardie Jules Verne
Soochow University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

1 Citation (Scopus)

Résumé

By using the variational approach, we prove the existence of Sinai–Ruelle–Bowen measures for partially hyperbolic C¹ diffeomorphisms with mostly expanding properties. The same conclusion holds true if one considers a dominated splitting E ⊕ F, where dimE = 1 and F is mostly expanding. When the diffeomorphisms are C^1+α, we prove the basin covering property for both cases.

langue originale	Anglais
Numéro d'article	rnaf053
journal	International Mathematics Research Notices
Volume	2025
Numéro de publication	6
Les DOIs	https://doi.org/10.1093/imrn/rnaf053
état	Publié - 1 mars 2025
Modification externe	Oui

Accès au document

10.1093/imrn/rnaf053

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{a6071e8ac4f4444498953ed68dbdea09,

title = "SRB Measures for Mostly Expanding Partially Hyperbolic Diffeomorphisms via the Variational Approach",

abstract = "By using the variational approach, we prove the existence of Sinai–Ruelle–Bowen measures for partially hyperbolic C1 diffeomorphisms with mostly expanding properties. The same conclusion holds true if one considers a dominated splitting E ⊕ F, where dimE = 1 and F is mostly expanding. When the diffeomorphisms are C1+α, we prove the basin covering property for both cases.",

author = "David Burguet and Dawei Yang",

year = "2025",

month = mar,

day = "1",

doi = "10.1093/imrn/rnaf053",

language = "English",

volume = "2025",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "6",

}

TY - JOUR

T1 - SRB Measures for Mostly Expanding Partially Hyperbolic Diffeomorphisms via the Variational Approach

AU - Burguet, David

AU - Yang, Dawei

PY - 2025/3/1

Y1 - 2025/3/1

N2 - By using the variational approach, we prove the existence of Sinai–Ruelle–Bowen measures for partially hyperbolic C1 diffeomorphisms with mostly expanding properties. The same conclusion holds true if one considers a dominated splitting E ⊕ F, where dimE = 1 and F is mostly expanding. When the diffeomorphisms are C1+α, we prove the basin covering property for both cases.

AB - By using the variational approach, we prove the existence of Sinai–Ruelle–Bowen measures for partially hyperbolic C1 diffeomorphisms with mostly expanding properties. The same conclusion holds true if one considers a dominated splitting E ⊕ F, where dimE = 1 and F is mostly expanding. When the diffeomorphisms are C1+α, we prove the basin covering property for both cases.

UR - https://www.scopus.com/pages/publications/105000395287

U2 - 10.1093/imrn/rnaf053

DO - 10.1093/imrn/rnaf053

M3 - Article

AN - SCOPUS:105000395287

SN - 1073-7928

VL - 2025

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 6

M1 - rnaf053

ER -

SRB Measures for Mostly Expanding Partially Hyperbolic Diffeomorphisms via the Variational Approach

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation