Conformal dimension: Cantor sets and moduli

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dc.creatorHakobyan, Hrant
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:28Z
dc.date.available2026-07-07T09:57:28Z
dc.descriptionIn this paper we give several conditions for a space to be minimal for conformal dimension. We show that there are sets of zero length and conformal dimension 1 thus answering a question of Bishop and Tyson. Another sufficient condition for minimality is given in terms of a modulus of a system of measures in the sense of Fuglede \cite{Fug}. It implies in particular that there are many sets $E\subset\mathbb{R}$ of zero length such that $X\times Y$ is minimal for conformal dimension for every compact $Y$.
dc.identifierhttps://arxiv.org/abs/0808.2672
dc.identifierhttp://arxiv.org/abs/0808.2672
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167354
dc.subjectComplex Variables
dc.subjectMetric Geometry
dc.titleConformal dimension: Cantor sets and moduli
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