5 papers
Analysis of singularities of area-minimizing currents, Part III: branch points of planar frequency 2, higher order asymptotics, and the local topology
Brian Krummel, Neshan Wickramasekera
The paper studies singularities of high‑codimension area‑minimizing currents, focusing on branch points whose planar frequency is not equal to 2, and proves higher‑order asymptotic…
Analysis of singularities of area minimizing currents, Part I: planar frequency, branch points of rapid decay, and weak locally uniform approximation
Brian Krummel, Neshan Wickramasekera
The paper introduces a new intrinsic frequency function for higher‑codimension area‑minimizing currents and uses it to analyze the structure of their singularities, proving a decom…
Analysis of singularities of area-minimizing currents, Part II: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones
Brian Krummel, Neshan Wickramasekera
The authors prove a new height estimate for n‑dimensional area‑minimizing rectifiable currents of codimension ≥2, and use it to show that such currents have unique tangent cones at…
A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity
Brian Krummel, Paul Minter, Neshan Wickramasekera
Suppose is a class of stationary integral -varifolds in which is closed under weak limits, homotheties, rotations, and disjoi…
On the Nature of Stationary Integral Varifolds near Multiplicity 2 Planes
Spencer Becker-Kahn, Paul Minter, Neshan Wickramasekera
We study stationary integral -varifolds in the unit ball . Allard's regularity theorem establishes the existence of for…