Separating Solution of a Quadratic Recurrent Equation

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چکیده

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Separating Solution of a Quadratic Recurrent Equation

and set Λ1 = y > 0. We shall occasionally write Λp(y) to emphasize the dependence of Λp on the initial value y. It is clear that Λp(cy) = c Λp(y). Therefore if Λp(y) → ∞ as p → ∞ and c > 1, then Λp(y ) → ∞ as p → ∞ where y = cy. On the other hand if Λp(y) → 0 and 0 < c < 1, then Λp(y ) → 0. Thus there exist y and y such that Λp(y) → ∞ for y ∈ (y,∞) with y as small as possible and Λp(y) → 0 for ...

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ژورنال

عنوان ژورنال: Journal of Statistical Physics

سال: 2009

ISSN: 0022-4715,1572-9613

DOI: 10.1007/s10955-009-9801-6