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GFF with SLE and KPZ

Wednesday 28th January 2015 - 13:30 to 14:30
INI Seminar Room 1
This talk concerns three objects that remain in fashion: the Gaussian free field (GFF), the Schramm-Loewner Evolution (SLE) and the Liouville measure. We first discuss a way to derive the exponential moments of the winding for the chordal SLE curves and then show how this enters into determining the quantum fractal dimension for the SLE curves in their flow line coupling with the GFF. It comes out that the usual KPZ relation does not hold for the SLE flow lines of the GFF, yet it is not clear whether one should be actually surprised.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons