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·         (with Michel Zinsmeister, master thesis) A condition for Loewner curves to be rectifiable

·         (with Steffen Rohde, Preprint) Another proof for a sharp condition for the Loewner Equation to generate slits.

        - This is a non-quasiconformal  proof for a paper of Joan Lind arxiv:math/0311234v1 and Don Marshall & Steffen Rohde (their paper).

·         Convergence to Loewner curves, http://arxiv.org/abs/1303.3685, submitted

        - We give a condition for driving functions so that Loewner curves simulated by a variant of the zipper algorithm converge in the sup norm to the actual Loewner curves. In particular, we can apply this theorem for algorithms that simulate SLE_\kappa with \kappa \neq 8. This was conjectured by S. Rohde and O. Schramm, and mentioned in arxiv:0909.2438
      - An animated simulation for SLE_6 with finer and finer approximations of a sample of Brownian motion.

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(last updated: June 2, 2013)