Benjamin Mackey

collaborators

3 papers

math.PR2017

Decomposition of backward SLE in the capacity parameterization

Benjamin Mackey, Dapeng Zhan

We prove that, for $κ \leq 4$ , backward chordal SLE $_{κ}$ admits backward chordal SLE $_{κ} (- 4, - 4)$ decomposition for the capacity parametrization. This means that, for any bounded measur…

math.PR2017

Multipoint Estimates for Radial and Whole-plane SLE

Benjamin Mackey, Dapeng Zhan

We prove upper bounds for the probability that a radial SLE $_{κ}$ curve, $κ \in (0, 8)$ , comes within specified radii of $n$ different points in the unit disc. Using this estimate, we t…

math.CA2013

SO(2)-congruent projections of convex bodies with rotation about the origin

Benjamin Mackey

We prove that if two convex bodies $K, L \subset R^{3}$ satisfy the property that the orthogonal projections of $K$ and $L$ onto every plane containing the origin are roati…