2 citations · 2 across the 5 of their papers we have counts for
5 papers
An Exploration of Lacunary Orthogonal Polynomials Associated with the Geronimus Transformation
Rachel Bailey, Roman Gavrilov
In this note, we present two perturbations of sequences of orthogonal polynomials related to two iterations of the Geronimus transformation, with the feature that the resulting seq…
DEK-Type orthogonal polynomials and a modification of the Christoffel formula
Rachel Bailey, Maxim Derevyagin
In this note we revisit one of the first known examples of exceptional orthogonal polynomials that was introduced by Dubov, Eleonskii, and Kulagin in relation to nonharmonic oscill…
Complex Jacobi matrices generated by Darboux transformations
Rachel Bailey, Maxim Derevyagin
In this paper, we study complex Jacobi matrices obtained by the Christoffel and Geronimus transformations at a nonreal complex number, including the properties of the corresponding…
Groups generated by derangements
R. A. Bailey, Peter J. Cameron, Michael Giudici +1
We examine the subgroup of a transitive permutation group which is generated by the derangements in . Our main results bound the index of this subgroup: we conjecture…
Cluster algebras and binary subwords
Rachel Bailey, Emily Gunawan
This paper establishes a connection between binary subwords and perfect matchings of a snake graph, an important tool in the theory of cluster algebras. Every binary expansion w ca…