Yazar "Yurttas, S. Oyku" seçeneğine göre listele

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    DYNNIKOV AND TRAIN TRACK TRANSITION MATRICES OF PSEUDO-ANOSOV BRAIDS
    (Amer Inst Mathematical Sciences-Aims, 2016) Yurttas, S. Oyku
    We compare the spectra of Dynnikov matrices with the spectra of the train track transition matrices of a given pseudo-Anosov braid on the finitely punctured disk, and show that these matrices are isospectral up to roots of unity and zeros under some particular conditions. It is shown, via examples, that Dynnikov matrices are much easier to compute than transition matrices, and so yield data that was previously inaccessible.
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    Geometric intersection of curves on punctured disks
    (Math Soc Japan, 2013) Yurttas, S. Oyku
    We give a recipe to compute the geometric intersection number of an integral lamination with a particular type of integral lamination on an n-times punctured disk. This provides a way to find the geometric intersection number of two arbitrary integral laminations when combined with an algorithm of Dynnikov and Wiest.
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    INTERSECTIONS OF MULTICURVES FROM DYNNIKOV COORDINATES
    (Cambridge Univ Press, 2018) Yurttas, S. Oyku; Hall, Toby
    We present an algorithm for calculating the geometric intersection number of two multicurves on the n-punctured disk, taking as input their Dynnikov coordinates. The algorithm has complexity O(m(2)n(4)), where m is the sum of the absolute values of the Dynnikov coordinates of the two multicurves. The main ingredient is an algorithm due to Cumplido for relaxing a multicurve.