3 papers
math.MG2019
Distortion of spheres and surfaces in space
Sebastian Baader, Luca Studer, Roger Züst
It is known that the surface of a cone over the unit disc with large height has smaller distortion than the standard embedding of the 2-sphere in . In this note we sho…
math.FA2018
Functions of bounded fractional variation and fractal currents
Roger Züst
Extending the notion of bounded variation, a function is of bounded fractional variation with respect to some exponent if there is a finite constant…
math.MG2017
Coefficient groups inducing nonbranched optimal transport
Mircea Petrache, Roger Züst
In this work we consider an optimal transport problem with coefficients in a normed Abelian group , and extract a purely intrinsic condition on that guarantees that the opti…