4 papers
math.MG2026
Another simple proof of the 1-dimensional flat chain conjecture
Philippe Bouafia, Thierry De Pauw
We provide a short proof of the 1-dimensional flat chain conjecture.
math.PR2024
A regularity property of fractional Brownian sheets
Philippe Bouafia, Thierry De Pauw
A function defined on is called strongly chargeable if there is a continuous vector-field such that equals the flux of through the rectan…
math.CA2021
A representation formula for members of SBV dual
Philippe Bouafia, Thierry De Pauw
We give an integral representation formula for members of the dual of in terms of functions that are defined on , an appropriate fiber space…
math.CA2018
On the existence of mass minimizing rectifiable G chains in finite dimensional normed spaces
Thierry De Pauw, Ioann Vasilyev
We introduce the notion of density contractor of dimension m in a finite dimensional normed space X. If m+1=dim X this includes the area contracting projectors on hyperplanes whose…