4 citations · 5 across the 6 of their papers we have counts for
6 papers
Minkowski and packing Dimension comparisons for sets with Reifenberg properties
Amos N. Koeller
In Koeller \cite{koerprops} the twelve variants of the Reifenberg properties known to be instrumental in the theory of minimal surfaces were classified with respect to various Haus…
Outer measure preserving ergodic transformations generate the Carathéodory definition of measurable sets
Amos N. Koeller
It is known that there are specific examples of ergodic transformations on measure spaces for which the calculation of the outer measure of transformation invariant sets leads to a…
A classification of Reifenberg properties
Amos N. Koeller
We define twelve variants of a Reifenberg's affine approximation property, which are known to be connected with the singular sets of minimal surfaces. With this motivation we inves…
On the singular set of mean curvature flows with Neumann free boundary conditions
Amos N. Koeller
We consider -dimensional hypersurfaces flowing by mean curvature flow with Neumann free boundary conditions supported on a smooth support surface. We show that the Hausdorff …
Evolution of convex lens-shaped networks under curve shortening flow
Oliver C. Schnürer, Abderrahim Azouani, Marc Georgi +8
We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Further…
Approximately j-dimensional Koch type sets are potentially minimal surfaces
Amos N. Koeller
We investigate the approximate j-dimensionality of the singularity sets of minimal surfaces prescribed by Simon. This leads to the clasification of 8 variations of approximately j-…