Iterates of Maps on an Interval, Volume 2 |
Contents
Introduction | 1 |
Piecewise monotone functions | 8 |
Wellbehaved piecewise monotone functions 41 | 10 |
Copyright | |
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behaviour component contains a dense continuous functions countable dense in 0,1 dense open subset disjoint Edited end-point exists f is central f satisfies f²n fixed point fm is increasing follows function f g has property gives hence holds Homt f homterval implies infinite register shift Init(f int(J IPs f iterates of functions largest interval containing Lebesgue measure Lemma Let f mean value theorem monotone functions Note one-sided stable Per(n,f periodic orbit periodic with period point of f points in a,b Proceedings Proof Let proof of Proposition proof of Theorem property Q Proposition 4.6 Ps(f reduction of 0,1],f regular resp result S₁ S₂ S₂US3 Schwarzian derivative Section simple reduction sink of f subset of 0,1 Theorem 5.2 Trap(f turning point UHomt UHomt2(f unstable periodic point μ μ