2 papers
math.SP2023
Demystifying the Karpelevic theorem
Devon N. Munger, Andrew L. Nickerson, Pietro Paparella
The statement of the Karpelevic theorem concerning the location of the eigenvalues of stochastic matrices in the complex plane (known as the Karpelevic region) is long and complica…
math.RA2023
The converse of the Cowling--Obrechkoff--Thron theorem
Devon N. Munger, Pietro Paparella
In this work, the converse of the Cowling--Obrechkoff--Thron theorem is established. In addition to its theoretical interest, the result fills a gap in the proof of Kellogg's celeb…