92 citations · 357 across the 25 of their papers we have counts for
25 papers
The Hamiltonian formulation of continuum Calogero-Moser models
Rowan Killip, Katie Marsden, Monica Vişan
Recent well-posedness results have identified the Hardy space as the natural phase space for continuum Calogero-Moser models, both focusing and defocusing, on the line and…
Bounded solutions of KdV: uniqueness and the loss of almost periodicity
Andreia Chapouto, Rowan Killip, Monica Vişan
We address two pressing questions in the theory of the Korteweg--de Vries (KdV) equation. First, we show the uniqueness of solutions to KdV that are merely bounded, without any fur…
Nonexistence of large nuclei in the liquid drop model
Rupert L. Frank, Rowan Killip, Phan Thành Nam
We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value…
Matrix models and eigenvalue statistics for truncations of classical ensembles of random unitary matrices
Rowan Killip, Rostyslav Kozhan
We consider random non-normal matrices constructed by removing one row and column from samples from Dyson's circular ensembles or samples from the classical compact groups. We deve…
Quintic NLS in the exterior of a strictly convex obstacle
Rowan Killip, Monica Visan, Xiaoyi Zhang
We consider the defocusing energy-critical nonlinear Schrödinger equation in the exterior of a smooth compact strictly convex obstacle in three dimensions. For the initial-value pr…
Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling
Rowan Killip, Eric Ryckman
We calculate the autocorrelation function for the characteristic polynomial of a random matrix in the microscopic scaling regime. While results fitting this description have be pro…