4 citations · 4 across the 4 of their papers we have counts for
8 papers
Elliptic measures for Dahlberg-Kenig-Pipher operators: Asymptotically optimal estimates
Simon Bortz, Tatiana Toro, Zihui Zhao
Questions concerning quantitative and asymptotic properties of the elliptic measure corresponding to a uniformly elliptic divergence form operator have been the focus of recent stu…
On Big Pieces approximations of parabolic hypersurfaces
Simon Bortz, John Hoffman, Steve Hofmann +2
Let be a closed subset of which is parabolic Ahlfors-David regular and assume that satisfies a 2-sided corkscrew condition. Assume, in addition, that $Σ…
Coronizations and big pieces in metric spaces
Simon Bortz, John Hoffman, Steve Hofmann +2
We prove that coronizations with respect to arbitrary d-regular sets (not necessarily graphs) imply big pieces squared of these (approximating) sets. This is known (and due to Davi…
Two Phase Free Boundary Problem for Poisson Kernels
Simon Bortz, Max Engelstein, Max Goering +2
We provide a potential theoretic characterization of vanishing chord-arc domains under minimal assumptions. In particular we show that, if a domain has Ahlfors regular boundary, th…
-Approximability of Harmonic Functions in Implies Uniform Rectifiability
Simon Bortz, Olli Tapiola
Suppose that , , is an open set satisfying the corkscrew condition with an -dimensional ADR boundary, . In this note, we show tha…
Quantitative Fatou Theorems and Uniform Rectifiability
Simon Bortz, Steve Hofmann
We show that a suitable quantitative Fatou Theorem characterizes uniform rectifiability in the codimension 1 case.