74 citations · 230 across the 19 of their papers we have counts for
20 papers
Dynamics-preserving network reductions for ride-pooling paths
Karolin Stiller, Nora Molkenthin
Reducing the complexity of ride-pooling paths is a central challenge in systems with distributed demand. Here we show that such dynamics admit an exact coarse-grained representatio…
Node-weighted recurrence analysis for path dynamics on networks
A. Schmaus, N. Marwan, N. Molkenthin
Trajectories of units moving on networks are relevant for nonlinear dynamical systems as diverse as polymers, ocean drifters, and human mobility. Although RQA is a well-researched…
Emergence and co-existence of periodic and unstructured motion in future-avoiding random walks
A. Schmaus, K. Stiller, N. Molkenthin
Self-avoiding random walks on graphs can be seen as walkers interacting with their own past history. This letter considers a complementary class of dynamics: Mutual future avoiding…
Ride-pooling adoption model for emission estimation
Milli Keil, Felix Creutzig, Nora Molkenthin
With the climate emergency and growing challenges ranging from pollution to congestion, ride-pooling (rp) has been floated as a potential solution for less congested, low-carbon an…
Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning
Christian Nauck, Michael Lindner, Nora Molkenthin +4
A central question of network science is how functional properties of systems emerge from their structure. For networked dynamical systems, structure is typically captured through…
Shared Mobility in Berlin: An Analysis of Ride-Pooling with Car Mobility Data
Alexander Schmaus, Felix Creutzig, Nicolas Koch +1
In face of the threat of a climate catastrophe and the resulting urgent need for decarbonization together with the widespread emergence of the sharing economy, shared pooled mobili…
Learning Interpretable Collective Variables for Spreading Processes on Networks
Marvin Lücke, Stefanie Winkelmann, Jobst Heitzig +2
Collective variables (CVs) are low-dimensional projections of high-dimensional system states. They are used to gain insights into complex emergent dynamical behaviors of processes…
Large population limits of Markov processes on random networks
Marvin Lücke, Jobst Heitzig, Péter Koltai +2
We consider time-continuous Markovian discrete-state dynamics on random networks of interacting agents and study the large population limit. The dynamics are projected onto low-dim…
Collective dynamics of capacity-constrained ride-pooling fleets
Robin M. Zech, Nora Molkenthin, Marc Timme +1
Ride-pooling (or ride-sharing) services combine trips of multiple customers along similar routes into a single vehicle. The collective dynamics of the fleet of ride-pooling vehicle…
What geometrically constrained folding models can tell us about real-world protein contact maps
Nora Molkenthin, J. J. Güven, Steffen Mühle +1
The mechanisms by which a protein's 3D structure can be determined based on its amino acid sequence have long been one of the key mysteries of biophysics. Often simplistic models,…
Moving the epidemic tipping point through topologically targeted social distancing
Sara Ansari, Mehrnaz Anvari, Oskar Pfeffer +4
The epidemic threshold of a social system is the ratio of infection and recovery rate above which a disease spreading in it becomes an epidemic. In the absence of pharmaceutical in…
Relative Canonical Network Ensembles -- (Mis)characterizing Small-World Networks
Oskar Pfeffer, Nora Molkenthin, Frank Hellmann
What do generic networks that have certain properties look like? We define Relative Canonical Network ensembles as the ensembles that realize a property R while being as indistingu…
Topology dependence of on-demand ride-sharing
Debsankha Manik, Nora Molkenthin
Traffic is a challenge in rural and urban areas alike with negative effects ranging from congestion to air pollution. Ride-sharing poses an appealing alternative to personal cars,…
Topological universality of on-demand ride-sharing efficiency
Nora Molkenthin, Malte Schröder, Marc Timme
Ride-sharing may substantially contribute to future-compliant sustainable mobility, both in urban and rural areas. The service quality of ride-sharing fleets jointly depends on the…
Geometric constraints in protein folding
Nora Molkenthin, Steffen Mühle, Antonia S J S Mey +1
The intricate three-dimensional geometries of protein tertiary structures underlie protein function and emerge through a folding process from one-dimensional chains of amino acids.…
Adhesion-induced Discontinuous Transitions and Classifying Social Networks
Nora Molkenthin, Malte Schröder, Marc Timme
Transition points mark qualitative changes in the macroscopic properties of large complex systems. Explosive transitions, exhibiting properties of both continuous and discontinuous…
Scaling Laws in Spatial Network Formation
Nora Molkenthin, Marc Timme
Geometric constraints impact the formation of a broad range of spatial networks, from amino acid chains folding to proteins structures to rearranging particle aggregates. How the n…
Correlation networks from flows. The case of forced and time-dependent advection-diffusion dynamics
Liubov Tupikina, Nora Molkenthin, Cristóbal López +3
Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-…
Edge anisotropy and the geometric perspective on flow networks
Nora Molkenthin, Hannes Kutza, Liubov Tupikina +5
Spatial networks have recently attracted great interest in various fields of research. While the traditional network-theoretic viewpoint is commonly restricted to their topological…
Discrete Nonlinear Schrodinger Equation, Solitons and Organizing Principles for Protein Folding
Nora Molkenthin, Shuangwei Hu, Antti J. Niemi
We introduce a novel generalization of the discrete nonlinear Schrödinger equation. It supports solitons that describe how proteins fold. As an example we scrutinize the villin hea…