7 citations · 13 across the 3 of their papers we have counts for
3 papers
math.PR2014★ 7 cited
Spontaneous Breaking of Rotational Symmetry with Arbitrary Defects and a Rigidity Estimate
Simon Aumann
The goal of this paper is twofold. First we prove a rigidity estimate, which generalises the theorem on geometric rigidity of Friesecke, James and Müller to 1-forms with non-vanish…
math.PR2013★ 4 cited
Singularity of Full Scaling Limits of Planar Nearcritical Percolation
Simon Aumann
We consider full scaling limits of planar nearcritical percolation in the Quad-Crossing-Topology introduced by Schramm and Smirnov. We show that two nearcritical scaling limits wit…
math.PR2011★ 2 cited
Singularity of Nearcritical Percolation Exploration Paths
Simon Aumann
We show that the laws of scaling limits of nearcritical percolation exploration paths with different parameters are singular with respect to each other. This generalises a result o…