Papers

Aug
07
Maximal Colourings for Graphs

Maximal Colourings for Graphs

Raffaella Mulas Coming, colours in the air Oh, everywhere She comes in colours —The Rolling Stones, She’s a Rainbow.
1 min read
Jul
31
Zoll magnetic systems on the two-torus: A Nash–Moser construction

Zoll magnetic systems on the two-torus: A Nash–Moser construction

Luca Asselle, Gabriele Benedetti, and Massimiliano Berti Abstract We construct an infinite-dimensional family of smooth integrable magnetic systems on the
2 min read
Jul
19
Priestley duality and representations of recurrent dynamics

Priestley duality and representations of recurrent dynamics

William Kalies and Robert Vandervorst For an arbitrary dynamical system there is a strong relationship between global dynamics and the
1 min read
Jun
28
Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory

Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory

Kelly Spendlove and Robert Vandervorst Cartan-Eilenberg systems play a prominent role in the homological algebra of filtered and graded differential
2 min read
Jun
21
On the bottleneck stability of rank decompositions of multi-parameter persistence modules

On the bottleneck stability of rank decompositions of multi-parameter persistence modules

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot, Luis Scoccola A significant part of modern topological data analysis is concerned with
1 min read
Jun
16
Ropes have an even number of ends

Ropes have an even number of ends

Thomas Rot On 13-01-2024 the annual KWG Wintersymposium was held in the Academiegebouw in Utrecht. The symposium had the theme
1 min read
Jun
07
Constructing embedded surfaces for cellular embeddings of leveled spatial graphs

Constructing embedded surfaces for cellular embeddings of leveled spatial graphs

New preprint on cellular embeddings of spatial graphs By Senja Barthel and Fabio Buccoliero. Embeddings of graphs on surfaces are
1 min read
Apr
14
An Observation About Conformal Points on Surfaces

An Observation About Conformal Points on Surfaces

Peter Albers and Gabriele Benedetti Abstract We study the existence of points on a compact oriented surface at which a
Mar
24
A geometric computation of cohomotopy groups in co-degree one

A geometric computation of cohomotopy groups in co-degree one

To appear in "Algebraic and Geometric Topology". By Michael Jung and Thomas Rot Using geometric arguments, we compute
1 min read
Mar
13
Construction of invariant features for time-domain EEG/MEG signals using Grassmann manifolds

Construction of invariant features for time-domain EEG/MEG signals using Grassmann manifolds

Rikkert Hindriks, Thomas O. Rot, Michel J.A.M. van Putten and Prejaas Tewarie A challenge in interpreting features derived
1 min read