The partial captivity condition for U(1) extensions of expanding maps on the circle

Yushi Nakano, Masato Tsujii, Jens Wittsten

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    This paper concerns the compact group extension f : ⌉2→⌉2, f (x, s) = (E(x), s + τ(x) mod 1) of an expanding map E : S1→S1. The dynamics of f and its stochastic perturbations have previously been studied under the so-called partial captivity condition. Here we prove a supplementary result that shows that partial captivity is a C τ generic condition on τ, once we fix E.

    Original languageEnglish
    Pages (from-to)1917-1925
    Number of pages9
    JournalNonlinearity
    Volume29
    Issue number7
    DOIs
    Publication statusPublished - May 25 2016

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • General Physics and Astronomy
    • Applied Mathematics

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