Abstract
Limit distribution of endomorphisms of the n-dimensional torus is examined. The obtained result generalizes earlier results of the authors.
Highlights
Limit distribution of endomorphisms of the n-dimensional torus is examined
We examine the endomorphisms of the torus Ω defined by the non-singular matrices V with integer elements by
We suppose that the partial derivatives of the third order of functions φi(x, y), (x, y) ∈ Π, exist
Summary
Limit distribution of endomorphisms of the n-dimensional torus is examined. Let Ω = Ωn be the n-dimensional torus x = We define the rectangle Π = [a, b] × [c, d] and the functions φi(x, y), i = 1, . In this case the vector (x, y, φ1(x, y), . Φn−2(x, y)) defines the surface Γ in Rn. Let φ′i′x2 · φ′i′y2 (1 + (φ′ix)2
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