3 papers
math.AT2024
Measures determined by their values on balls and Gromov-Wasserstein convergence
Anne van Delft, Andrew J. Blumberg
A classical question about a metric space is whether Borel measures on the space are determined by their values on balls. We show that for any given measure this property is stable…
math.ST2024
Balancing the edge effect and dimension of spectral spatial statistics under irregular sampling with applications to isotropy testing
Theresa Eckle, Anne van Delft, Holger Dette
We investigate distributional properties of a class of spectral spatial statistics under irregular sampling of a random field that is defined on , and use this to obt…
math.ST2023
A statistical framework for analyzing shape in a time series of random geometric objects
Anne van Delft, Andrew J. Blumberg
We introduce a new framework to analyze shape descriptors that capture the geometric features of an ensemble of point clouds. At the core of our approach is the point of view that…