9 citations · 19 across the 9 of their papers we have counts for
10 papers
Global analysis of the Kuramoto flow
Daniel Burns, Gregorio Malajovich, Charles Pugh +2
Kuramoto's differential equation describes a synchronization process between several harmonic oscillators. It has been used to model biological phenomena such as the synchronizatio…
The exponential map of the complexification of {\em Ham} in the real-analytic case
Daniel Burns, Ernesto Lupercio, Alejandro Uribe
Let be a Kähler manifold and K its group of hamiltonian symplectomorphisms. The complexification of K introduced by Donadson is not a group, only a "formal Lie group".…
Limit currents and value distribution of holomorphic maps
Daniel Burns, Nessim Sibony
We construct -closed and -closed positive currents associated to a holomorphic map via cluster points of normalized weighted truncated image currents. They are constru…
Stability Functions
Daniel Burns, Victor Guillemin, Zuoqin Wang
In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to problems in toric geometry. In particular we sho…
The spectral density function of a toric variety
D. Burns, V. Guillemin, A. Uribe
For a Kahler manifold (X, ω) with a holomorphic line bundle L and metric h such that the Chern form of L is ω, the spectral measures are the measures μ_N = \sum |s_{N,i}|^2 ν, wher…
Toric symplectic singular spaces I: isolated singularities
D. Burns, V. Guillemin, E. Lerman
We generalize a theorem of Delzant classifying compact connected symplectic manifolds with completely integrable torus actions to certain singular symplectic spaces. The assumption…