Home	· (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 (link). · 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. Another simulation. · (with Joan Lind, ongoing project) The regularity of Loewner curves. - We show that if the driving function is in C^beta then the Loewner curve is in C^{beta+1/2} for all real beta >1. This extends the result of Carto Wong. This problem is related to the papers of C. Earle & A. Epstein and D. Marshall & S. Rohde.
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(last updated: July 5, 2013)