3 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AP2014★ 1 cited
Polygonal approximations of closed parametric varifolds
Rodolfo Rios-Zertuche
We define holonomic measures to be certain analogues of varifolds that keep track of the local parameterization and orientation of the submanifold they represent. They are Borel me…
math.OC2014★ 3 cited
The variational structure of the space of holonomic measures
Rodolfo Rios-Zertuche
Roughly speaking, holonomic measures are parametric varifolds without boundary. They provide a setting appropriate for the analysis of many variational problems. In this paper, we…
math.PR2014★ 2 cited
Distributions that arise as derivatives of families of measures
Rodolfo Rios-Zertuche
We characterize the distributions that arise as derivatives of families of probabilities and of positive and signed measures on smooth manifolds.