## Probability

•  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.

## Contact

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

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science