7 citations · 35 across the 19 of their papers we have counts for
25 papers
Hamiltonian spectral flows, the Maslov index, and the stability of standing waves in the nonlinear Schrödinger equation
Graham Cox, Mitchell Curran, Yuri Latushkin +1
We use the Maslov index to study the spectrum of a class of linear Hamiltonian differential operators. We provide a lower bound on the number of positive real eigenvalues, which in…
Fredholm determinants, Evans functions and Maslov indices for partial differential equations
Graham Cox, Yuri Latushkin, Alim Sukhtayev
The Evans function is a well known tool for locating spectra of differential operators in one spatial dimension. In this paper we construct a multidimensional analogue as the modif…
Entropy and entanglement in a bipartite quasi-Hermitian system and its Hermitian counterparts
Abed Alsalam Abu Moise, Graham Cox, Marco Merkli
We consider a quantum oscillator coupled to a bath of other oscillators. The total system evolves with a quasi-Hermitian Hamiltonian. Associated to it is a family of Hermitian…
Computing nodal deficiency with a refined Dirichlet-to-Neumann map
Gregory Berkolaiko, Graham Cox, Bernard Helffer +1
Recent work of the authors and their collaborators has uncovered fundamental connections between the Dirichlet-to-Neumann map, the spectral flow of a certain family of self-adjoint…
Eigenvalues of the MOTS stability operator for slowly rotating Kerr black holes
Liam Bussey, Graham Cox, Hari Kunduri
We study the eigenvalues of the MOTS stability operator for the Kerr black hole with angular momentum per unit mass . We prove that each eigenvalue depends analytically…
Defining the spectral position of a Neumann domain
Ram Band, Graham Cox, Sebastian Egger
A Laplacian eigenfunction on a two-dimensional Riemannian manifold provides a natural partition into Neumann domains (a.k.a. a Morse--Smale complex). This partition is generated by…