MURAL - Maynooth University Research Archive Library



    Conjugacy of Real Diffeomorphisms. A Survey


    O'Farrell, Anthony G. and Roginskaya, Maria (2011) Conjugacy of Real Diffeomorphisms. A Survey. St. Petersburg Journal of Mathematics, 22 (1). pp. 1-40. ISSN 1061-0022

    [img] Download (802kB)


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    Given a group G, the conjugacy problem in G is the problem of giving an effective procedure for determining whether or not two given elements f, g ∈ G are conjugate, i. e., whether there exists h ∈ G with fh = hg. This paper is about the conjugacy problem in the group Diffeo(I) of all diffeomorphisms of an interval I ⊂ R. There is much classical work on the subject, solving the conjugacy problem for special classes of maps. Unfortunately, it is also true that many results and arguments known to the experts are difficult to find in the literature, or simply absent. We try to repair these lacunae, by giving a systematic review, and we also include new results about the conjugacy classification in the general case. for special classes of maps. Unfortunately, it is also true that many results and arguments known to the experts are difficult to find in the literature, or simply absent. We try to repair these lacunae, by giving a systematic review, and we also include new results about the conjugacy classification in the general case.

    Item Type: Article
    Additional Information: First published in St Petersburg Mathematical Journal in Vol.22 No.1(2011) pp.1-40, published by the American Mathematical Society
    Keywords: Conjugacy; Real Diffeomorphisms;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 3762
    Depositing User: Prof. Anthony O'Farrell
    Date Deposited: 19 Jun 2012 15:38
    Journal or Publication Title: St. Petersburg Journal of Mathematics
    Publisher: American Mathematical Society
    Refereed: No
    URI:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year