The orbit intersection problem for linear spaces and semiabelian varieties
نویسندگان
چکیده
منابع مشابه
The Orbit Intersection Problem for Linear Spaces and Semiabelian Varieties
Let f1, f2 : CN −→ CN be affine maps fi(x) := Aix + yi (where each Ai is an N -by-N matrix and yi ∈ CN ), and let x1,x2 ∈ AN (C) such that xi is not preperiodic under the action of fi for i = 1, 2. If none of the eigenvalues of the matrices Ai is a root of unity, then we prove that the set {(n1, n2) ∈ N0 : f n1 1 (x1) = f n2 2 (x2)} is a finite union of sets of the form {(m1k + `1,m2k + `2) : k...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2017
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2017.v24.n5.a2