One dimensional dynamics : cross-ratios, negative Schwarzian and structural stability

This thesis concerns the behaviour of maps with a unique critical point which is either a maximum or a minimum: so-called unimodal maps. Our first main result proves that for C2+η unimodal maps with non-flat critical point we have good control on the behaviour of cross-ratios on small scales. This r...

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Bibliographic Details
Main Author: Todd, Michael
Published: University of Warwick 2003
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.399446