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Hölder differentiability of self-conformal devil's staircases
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dc.contributor.author | Troscheit, S. | |
dc.date.accessioned | 2015-01-09T00:01:30Z | |
dc.date.available | 2015-01-09T00:01:30Z | |
dc.date.issued | 2014-03-01 | |
dc.identifier.citation | Troscheit , S 2014 , ' Hölder differentiability of self-conformal devil's staircases ' , Mathematical Proceedings of the Cambridge Philosophical Society , vol. 156 , no. 2 , pp. 295-311 . https://doi.org/10.1017/S0305004113000698 | en |
dc.identifier.issn | 0305-0041 | |
dc.identifier.other | PURE: 145987334 | |
dc.identifier.other | PURE UUID: 21dc9c13-e6ec-4d5b-bf96-c83860fed676 | |
dc.identifier.other | Scopus: 84897026448 | |
dc.identifier.other | WOS: 000337084800008 | |
dc.identifier.uri | https://hdl.handle.net/10023/5980 | |
dc.description.abstract | In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase) applied to a compact subset of ℝ. We use thermodynamic multifractal formalism to calculate the Hausdorff dimension of the sets Sα 0, Sα ∞ and Sα, the set of points at which this function has, respectively, Hölder derivative 0, ∞ or no derivative in the general sense. This extends recent work by Darst, Dekking, Falconer, Kesseböhmer and Stratmann, and Yao, Zhang and Li by considering arbitrary such Gibbs measures given by a potential function independent of the geometric potential. | |
dc.format.extent | 17 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Proceedings of the Cambridge Philosophical Society | en |
dc.rights | Copyright © Cambridge Philosophical Society 2014 | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Hölder differentiability of self-conformal devil's staircases | en |
dc.type | Journal article | en |
dc.description.version | Publisher PDF | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1017/S0305004113000698 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2015-01-09 |
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