On finite limit sets for transformations on the unit interval
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...} (12) For (11) and (12) to agree, one has a ~-1 ~ 1 - g*'(1) (13) where /L ~< 1 corresponds to A-shifting being mostly a displacement in the immediate environs of 2....
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...) ~_ p[/z + ~'(1)]" (23) with p ~ 1, n-independent....
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..., (1) a two-point cycle should now become stable....
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...P~+I = bp~ (1) accurately describes the population growth so long as it remains dilute, with the solution p~ = pob ~....
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...Combining (10) and (13), one has 3 ~ ]g*'(1)][1 - g*'(1)] 11~-1 (14) While (13) and (14) are crude, they are roughly correct for z >~ 2, but more important , indicate that g* ultimately determines everything, We now proceed to describe the situation more carefully, tacitly assuming convergence, and successively illustrating its details through consistency arguments....
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"On finite limit sets for transforma..." refers background in this paper
...f(x) is continuous, single-valued, and piece-wise fY1) on [0, 11, and strictly positive on the open interval, withf(0) = f(1) = 0....
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...< htrn) with associated patterns H(l)@(l)), HL2)(h(2)),....
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