51 citations · 58 across the 3 of their papers we have counts for
5 papers
Green's function for chordal SLE curves
Mohammad A. Rezaei, Dapeng Zhan
For a chordal SLE () curve in a domain , the -point Green's function valued at distinct points is defined to be $$G(z_1,\dots,z_n)=\lim_{r…
Up-to-constants bounds on the two-point Green's function for SLE curves
Gregory F. Lawler, Mohammad A. Rezaei
The Green's function for the chordal Schramm-Loewner evolution for , gives the normalized probability of getting near points. We give up-to-constant bounds for th…
Higher moments of the natural parameterization for SLE curves
Mohammad A. Rezaei, Dapeng Zhan
In this paper, we will show that the higher moments of the natural parametrization of SLE curves in any bounded domain in the upper half plane is finite. We prove this by estimatin…
Hausdorff measure of SLE curves
Mohammad A. Rezaei
In this paper we prove that the Hausdorff d-measure of SLE_κ is zero when d = 1+κ/ 8 .
Minkowski content and natural parameterization for the Schramm-Loewner evolution
Gregory F. Lawler, Mohammad A. Rezaei
We prove the existence and nontriviality of the -dimensional 4 Minkowski content for the Schramm-Loewner evolution () with and . We show th…