41 citations · 106 across the 16 of their papers we have counts for
16 papers
Maslov Bundles and Maslov Data
Konstantinos Efstathiou, Bohuan Lin, Holger Waalkens
We define Maslov bundles over a symplectic manifold . These are the determinant bundle of the unitary frame bundle defined by an almost complex structure compati…
Topological bias: How haloes trace structural patterns in the cosmic web
Raul Bermejo, Georg Wilding, Rien van de Weygaert +3
We trace the connectivity of the cosmic web as defined by haloes in the Planck-Millennium simulation using a persistence and Betti curve analysis. We normalise clustering up to the…
Loops of Infinite Order and Toric Foliations
Konstantinos Efstathiou, Bohuan Lin, Holger Waalkens
In 2005 Dullin et al. proved that the non-zero vector of Maslov indices is an eigenvector with eigenvalue 1 of the monodromy matrices of an integrable Hamiltonian system. We take a…
Synchronization of coupled second-order Kuramoto-Sakaguchi oscillators
Jian Gao, Konstantinos Efstathiou
We study the synchronization of oscillators with inertias and phase shifts, namely the second-order Kuramoto-Sakaguchi model. Using the self-consistent method, we find that the eff…
Oscillatory states, standing waves, and additional synchronized clusters in networks of second-order oscillators: uncovering the role of inertia
Jian Gao, Konstantinos Efstathiou
We discuss the appearance of oscillatory and standing wave states in second-order oscillator networks showing that it is a special case of a more general mechanism involving second…
Persistent homology of the cosmic web. I: Hierarchical topology in CDM cosmologies
Georg Wilding, Keimpe Nevenzeel, Rien van de Weygaert +5
Using a set of CDM simulations of cosmic structure formation, we study the evolving connectivity and changing topological structure of the cosmic web using state-of-the-art tool…