2 papers
math.SP2012
Index Theorems for Polynomial Pencils
Richard Kollár, Radomír Bosák
We survey index theorems counting eigenvalues of linearized Hamiltonian systems and characteristic values of polynomial operator pencils. We present a simple common graphical inter…
math.AP2011
Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature
Richard Kollár, Robert L. Pego
We investigate spectral stability of vortex solutions of the Gross-Pitaevskii equation, a mean-field approximation for Bose-Einstein condensates (BEC) in an effectively two-dimensi…