Department of Mathematics


  •  Multipoint estimates for radial and whole plane SLE
  •  04/27/2017
  •  3:00 PM - 3:50 PM
  •  C405 Wells Hall
  •  Ben Mackey, MSU

We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve comes within specified radii of $n$ different points in the unit disc. Using this estimate, we then prove a similar upper bound for the probability that a whole plane SLE$_{\kappa}$ passes near any $n$ points in the complex plane. We can then use these estimates to show that the lower Minkowski content of both the radial and whole plane SLE$_{\kappa}$ curves have finite moments of any order.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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