245 citations
- Indiana University BloomingtonUS8 papers
- Indiana UniversityUS6 papers
- Georgia Institute of TechnologyUS3 papers
- Hampden–Sydney CollegeUS3 papers
- Clarkson UniversityUS2 papers
- Colby CollegeUS2 papers
- Dartmouth CollegeUS2 papers
- Davidson CollegeUS2 papers
- Florida State UniversityUS2 papers
- Goddard Space Flight CenterUS2 papers
- Grand Valley State UniversityUS2 papers
- Mississippi State UniversityUS2 papers
32 papers
New Identity for Cayley's First Hyperdeterminant with Applications to Symmetric Tensors and Entanglement
Isaac Dobes
In this article, a new formula for computing Cayley's first hyperdeterminant in terms of the Levi-Civita symbol is given. It is then shown that this formula can be used to compute…
Cayley's First Hyperdeterminant is an Entanglement Measure
Isaac Dobes, Naihuan Jing
Previously, it was shown that both the concurrence and -tangle on -qubit pure quantum states can be expressed in terms of Cayley's first hyperdeterminant \cite{dobes2024qubi…
Complexity and Enumeration in Models of Genome Rearrangement
Lora Bailey, Heather Smith Blake, Garner Cochran +8
In this paper, we examine the computational complexity of enumeration in certain genome rearrangement models. We first show that the Pairwise Rearrangement problem in the Single Cu…
Solving the n-color ice model
Patrick Addona, Ethan Bockenhauer, Ben Brubaker +14
Given an arbitrary choice of two sets of nonzero Boltzmann weights for -color lattice models, we provide explicit algebraic conditions on these Boltzmann weights which guarantee…
Avoiding bias when inferring race using name-based approaches
Diego Kozlowski, Dakota S. Murray, Alexis Bell +4
Racial disparity in academia is a widely acknowledged problem. The quantitative understanding of racial based systemic inequalities is an important step towards a more equitable re…
Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras
Douglas T. Pfeffer, Michael T. Jury
We establish versions of Szegő's distance formula and Widom's theorem on invertibility of (a family of) Toeplitz operators in a class of finite codimension subalgebras of uniform a…