- 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.