Publication list for Faure, Frédéric

  • Prequantum Transfer Operator for Symplectic Anosov Diffeomorphism
    Base Product Code Keyword List: ast; AST; ast/375; AST/375; ast-375; AST-375
    Print Product Code: AST/375
    Title (HTML): Prequantum Transfer Operator for Symplectic Anosov Diffeomorphism
    Author(s) (Product display): Frédéric Faure; Masato Tsujii
    Affiliation(s) (HTML): Institut Fourier, St. Martin d’Hères, France; Kyushu University , Fukuoka, Japan
    Publisher Blurb: A publication of the Société Mathématique de France
    Custom URL: ast-375
    Abstract:

    The authors define the prequantization of a symplectic and Anosov diffeomorphism. They study the spectral properties of the transfer operator associated to a smooth potential. After restriction to the \(N\)-th Fourier mode and letting \(N\) tend to infinity, a structure of concentric bands appear. They study the eigenvalue repartition in the most external band and they show that this repartition follows a Weyl law. The authors give a physical interpretation of the results and they compare them to the geometric quantization which appears in quantum chaos theory.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Book Series Name: Astérisque
    Volume: 375
    Publication Month and Year: 2015-12-15
    Copyright Year: 2015
    Page Count: 222
    Cover Type: Softcover
    Print ISBN-13: 978-2-85629-823-7
    Print ISSN: 0303-1179
    Primary MSC: 37; 81
    Textbook?: false
    Applied Math?: false
    MAA Book?: false
    Electronic Media?: false
    Apparel or Gift: false
    Publisher (non-AMS): Société Mathématique de France
    SXG Subject: AN
    Print Price 1 Label: List
    Print Price 1: 67.00
    Print Price 2 Label: AMS Member
    Print Price 2: 53.60
    Print Add to Cart URL: /some/url/at/AMS/AST-375
    Print Available to Order: true
    Review Copy: https://www.ams.org/exam-desk-review-request?&pisbn=978-2-85629-823-7&ppc=AST/375&title=Prequantum%20Transfer%20Operator%20for%20Symplectic%20Anosov%20Diffeomorphism&author=Fr%E9d%E9ric%20Faure%3B%20Masato%20Tsujii&type=R
    Readership:

    Graduate students and research mathematicians.

    Cover Image URL: ~~FreeAttachments/ast-375-cov.jpg