6 papers
The Jordan type of a multiparameter persistence module
Calin Chindris, Min Hyeok Kang, Daniel Kline
Let be a poset and a sequence of finite substes of . The Jordan type of a -persistence module at , denote…
Hive-type polytopes for quiver multiplicities and the membership problem for quiver moment cones
Calin Chindris, Brett Collins, Daniel Kline
Let be a bipartite quiver with vertex set such that the number of arrows between any source vertex and any sink vertex is constant. Let be a dimens…
Edmonds' problem and the membership problem for orbit semigroups of quiver representations
Calin Chindris, Daniel Kline
A central problem in algebraic complexity, posed by J. Edmonds, asks to decide if the span of a given -tuple $\V=(\V_1, \ldots, \V_l)$ of complex matrices contains…
Simultaneous robust subspace recovery and semi-stability of quiver representations
Calin Chindris, Daniel Kline
We consider the problem of simultaneously finding lower-dimensional subspace structures in a given -tuple of possibly corrupted, high-dimensional data sets all of the same size.…
Sets of Lengths of Powers of a Variable
Richard Belshoff, Daniel Kline, Mark W. Rogers
A positive integer k is a length of a polynomial if that polynomial factors into a product of k irreducible polynomials. We find the set of lengths of polynomials of the form x^n i…
On locally semi-simple representations of quivers
Calin Chindris, Dan Kline
In this paper, we solve a problem raised by V. Kac in \cite{Kac} on locally semi-simple quiver representations. Specifically, we show that an acyclic quiver is of tame represen…