417 citations · 1.6k across the 72 of their papers we have counts for
73 papers
Rotationally Symmetric Zoll Metrics with a Cubic Integral
Holger R. Dullin, Vladimir S. Matveev, Gleb P. Palshin +1
We introduce a new method for constructing Zoll metrics that admit first integrals polynomial in the momenta. The method uses Funk's form of the metric together with an algebraic r…
On Separation of Variables for Symmetric Spaces of Rank1
Alexey Bolsinov, Holger R. Dullin, Vladimir. S. Matveev +1
We study existence and nonexistence of diagonal and separating coordinates for Riemannian symmetric spaces of rank 1. We generalize the results of Gauduchon and Moroianu, 2020, by…
Quantum Integrable Systems arising from Separation of Variables on S3
Sean Dawson, Holger Dullin
We study the family of quantum integrable systems that arise from separating the Schrödinger equation in all 6 separable orthogonal coordinates on the 3 sphere: ellipsoidal, prolat…
The Lagrange top and the fifth Painlevé equation
Holger R Dullin
We show that the Lagrange top with a linearly time-dependent moment of inertia is equivalent to the degenerate fifth Painlevé equation. More generally we show that the harmonic Lag…
Bounded orbits for 3 bodies in
Alain Albouy, Holger R. Dullin
We consider the Newtonian 3-body problem in dimension 4, and fix a value of the angular momentum which is compatible with this dimension. We show that the energy function cannot te…
Probabilistic description of dissipative chaotic scattering
Lachlan Burton, Holger Dullin, Eduardo G. Altmann
We investigate the extent to which the probabilistic properties of a chaotic scattering system with dissipation can be understood from the properties of the dissipation-free system…