23 citations · 61 across the 30 of their papers we have counts for
3 papers · 2 filters
The Wecken property for random maps on surfaces with boundary
Jacqueline Brimley, Matthew Griisser, Allison Miller +1
A selfmap is Wecken when the minimal number of fixed points among all maps in its homotopy class is equal to the Nielsen number, a homotopy invariant lower bound on the number of f…
A Nielsen theory for coincidences of iterates
Philip R. Heath, P. Christopher Staecker
As the title suggests, this paper gives a Nielsen theory of coincidences of iterates of two self maps f, g of a closed manifold. The ideas is, as much as possible, to generalize Ni…
Dynamics of random selfmaps of surfaces with boundary
Seung Won Kim, P. Christopher Staecker
We use Wagner's algorithm to estimate the number of periodic points of certain selfmaps on compact surfaces with boundary. When counting according to homotopy classes, we can use t…