82 citations · 273 across the 13 of their papers we have counts for
13 papers
Deep learning based ECG segmentation for delineation of diverse arrhythmias
Chankyu Joung, Mijin Kim, Taejin Paik +9
Accurate delineation of key waveforms in an ECG is a critical step in extracting relevant features to support the diagnosis and treatment of heart conditions. Although deep learnin…
Reeb flows without simple global surfaces of section
Juno Kim, Yonghwan Kim, Otto van Koert
We construct, for any given positive integer , Reeb flows on contact integral homology 3-spheres which do not admit global surfaces of section with fewer than boundary compo…
Periodic orbits in the restricted three-body problem and Arnold's -invariant
Kai Cieliebak, Urs Frauenfelder, Otto van Koert
We apply Arnold's theory of generic smooth plane curves to Stark-Zeeman systems. This is a class of Hamiltonian dynamical systems that describes the dynamics of an electron in an e…
Symmetric periodic orbits and uniruled real Liouville domains
Urs Frauenfelder, Otto van Koert
A real Liouville domain is a Liouville domain together with an exact anti-symplectic involution. We call a real Liouville domain uniruled if there exists an invariant finite energy…
Brieskorn manifolds in contact topology
Myeonggi Kwon, Otto van Koert
In this survey, we give an overview of Brieskorn manifolds and varieties, and their role in contact topology. We discuss open books, fillings and invariants such as contact and sym…
The torsion flow on a closed pseudohermitian 3-manifold
Shu-Cheng Chang, Otto van Koert, Chin-Tung Wu
In this paper we define the torsion flow, a CR analogue of the Ricci flow. For homogeneous CR manifolds we give explicit solutions to the torsion flow illustrating various kinds of…
The Hormander index of symmetric periodic orbits
Urs Frauenfelder, Otto van Koert
A symmetric periodic orbit is a special kind of periodic orbit that can also be regarded as a Lagrangian intersection point. Therefore it has two Maslov indices whose difference is…
The Conley-Zehnder indices of the rotating Kepler problem
Peter Albers, Joel W. Fish, Urs Frauenfelder +1
We determine the Conley-Zehnder indices of all periodic orbits of the rotating Kepler problem for energies below the critical Jacobi energy. Consequently, we show the universal cov…
The Cartan geometry of the rotating Kepler problem
Kai Cieliebak, Urs Frauenfelder, Otto van Koert
We investigate the Cartan and Finsler geometry of the rotating Kepler problem, a limit case of the restricted three body problem that arises if the mass of the one of the primaries…
Displaceability and the mean Euler characteristic
Urs Frauenfelder, Felix Schlenk, Otto van Koert
In this note we show that the mean Euler characteristic of equivariant symplectic homology is an effective obstruction against the existence of displaceable exact contact embedding…
Global surfaces of section in the planar restricted 3-body problem
Peter Albers, Joel W. Fish, Urs Frauenfelder +2
The restricted planar three-body problem has a rich history, yet many unanswered questions still remain. In the present paper we prove the existence of a global surface of section…
Diagrams for contact 5-manifolds
Fan Ding, Hansjörg Geiges, Otto van Koert
According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permi…
Lecture notes on stabilization of contact open books
Otto van Koert
This note explains how to relate some contact geometric operations, such as surgery, to operations on an underlying contact open book. In particular, we shall give a simple proof o…