Period sets of linear toral endomorphisms onT2
نویسندگان
چکیده
منابع مشابه
Schmidt’s Game, Fractals, and Orbits of Toral Endomorphisms
Given an integer matrix M ∈ GLn(R) and a point y ∈ R/Z, consider the set Ẽ(M,y) def = { x ∈ R : y / ∈ {Mkx mod Zn : k ∈ N} } . S.G. Dani showed in 1988 that whenever M is semisimple and y ∈ Q/Z, the set Ẽ(M,y) is winning in the sense of W. Schmidt (a property implying density and full Hausdorff dimension). In this paper we strengthen this result, extending it to arbitrary y ∈ R/Z and M ∈ GLn(R)...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2015
ISSN: 0166-8641
DOI: 10.1016/j.topol.2015.02.003