6 citations · 10 across the 4 of their papers we have counts for
4 papers
Multidimensional persistent homology is stable
Andrea Cerri, Barbara Di Fabio, Massimo Ferri +2
Multidimensional persistence studies topological features of shapes by analyzing the lower level sets of vector-valued functions. The rank invariant completely determines the multi…
Optimal homeomorphisms between closed curves
Andrea Cerri, Barbara Di Fabio
The concept of natural pseudo-distance has proven to be a powerful tool for measuring the dissimilarity between topological spaces endowed with continuous real-valued functions. Ro…
Necessary Conditions for Discontinuities of Multidimensional Size Functions
Andrea Cerri, Patrizio Frosini
Some new results about multidimensional Topological Persistence are presented, proving that the discontinuity points of a k-dimensional size function are necessarily related to the…
Stability in multidimensional Size Theory
Andrea Cerri, Patrizio Frosini, Claudia Landi
This paper proves that in Size Theory the comparison of multidimensional size functions can be reduced to the 1-dimensional case by a suitable change of variables. Indeed, we show…