Renormalisation-induced phase transitions for unimodal maps

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dc.creatorDobbs, Neil
dc.date2007-12-18
dc.date2008-07-10
dc.date.accessioned2026-07-07T12:42:26Z
dc.date.available2026-07-07T12:42:26Z
dc.descriptionThe thermodynamical formalism is studied for renormalisable maps of the interval and the natural potential $-t \log|Df|$. Multiple and indeed infinitely many phase transitions at positive $t$ can occur for some quadratic maps. All unimodal quadratic maps with positive topological entropy exhibit a phase transition in the negative spectrum.
dc.description14 pages, 2 figures. Revised following comments of referees. First page is blank
dc.identifierhttps://arxiv.org/abs/0712.3023
dc.identifierhttp://arxiv.org/abs/0712.3023
dc.identifierCommun. Math. Phys. 286, 377â?"387 (2009)
dc.identifierdoi:10.1007/s00220-008-0656-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220077
dc.subjectDynamical Systems
dc.subject37D35; 37E05
dc.titleRenormalisation-induced phase transitions for unimodal maps
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