Positive cocycles for minimal Zd-actions on a cantor set resulting from cut and project schemes: The octogonal tiling

dc.contributor.authorLaperriere, Christiane
dc.date.accessioned2013-11-07T19:04:11Z
dc.date.available2013-11-07T19:04:11Z
dc.date.created2009
dc.date.issued2009
dc.degree.levelMasters
dc.degree.nameM.Sc.
dc.description.abstractWe study the cut and projection method, which is a way to construct tilings. This construction leads to a minimal Zd -action on the Cantor set. In this thesis, we will focus our attention on two examples that we will describe in full details. the Fibonacci tiling on R and the octogonal tiling on R2 . For the octogonal tiling, we find small strictly positive cocycles for the minimal action on specific cones of Z2 .
dc.format.extent99 p.
dc.identifier.citationSource: Masters Abstracts International, Volume: 48-05, page: 3021.
dc.identifier.urihttp://hdl.handle.net/10393/28269
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-19168
dc.language.isoen
dc.publisherUniversity of Ottawa (Canada)
dc.subject.classificationMathematics.
dc.titlePositive cocycles for minimal Zd-actions on a cantor set resulting from cut and project schemes: The octogonal tiling
dc.typeThesis

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