Higher order Schwarzian derivatives in interval dynamics

Simple item page
dc.creatorKozlovski, O.
dc.creatorSands, D.
dc.date2008-12-14
dc.date.accessioned2026-07-07T12:12:47Z
dc.date.available2026-07-07T12:12:47Z
dc.descriptionWe introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives positive up to any given order.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0812.2646
dc.identifierhttp://arxiv.org/abs/0812.2646
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210658
dc.subjectDynamical Systems
dc.subject37E05
dc.titleHigher order Schwarzian derivatives in interval dynamics
dc.typetext

Files

Collections

arXiv