An example of PET. Computation of the Hausdorff dimension of the aperiodic set
classification
🧮 math.DS
keywords
familydimensionhausdorffalgorithmaperiodiccocyclescomputationcompute
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We introduce a family of piecewise isometries. This family is similar to the ones studied by Hooper and Schwartz. We prove that a renormalization scheme exists inside this family and compute the Hausdorff dimension of the discontinuity set. The methods use some cocycles and a continued fraction algorithm.
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