172 citations · 564 across the 31 of their papers we have counts for
3 papers · 1 filter
Random cyclic dynamical systems
Michał Adamaszek, Henry Adams, Francis Motta
For X a finite subset of the circle and for 0 < r <= 1 fixed, consider the function f_r : X -> X which maps each point to the clockwise furthest element of X within angular distanc…
Persistence Images: A Stable Vector Representation of Persistent Homology
Henry Adams, Sofya Chepushtanova, Tegan Emerson +7
Many datasets can be viewed as a noisy sampling of an underlying space, and tools from topological data analysis can characterize this structure for the purpose of knowledge discov…
The Vietoris-Rips complexes of a circle
Michal Adamaszek, Henry Adams
Given a metric space X and a distance threshold r>0, the Vietoris-Rips simplicial complex has as its simplices the finite subsets of X of diameter less than r. A theorem of Jean-Cl…