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Research

The doctoral network BeyondTheEdge will identify the role of nonpairwise higher-order interactions in the emergence of complex dynamical behaviour of networks of interacting units. BeyondTheEdge will consolidate the emergent research themes of foundations, structure, and data into a new field of Higher-Order Network Dynamics.

Synchronization of directed hypergraphs with heterogeneities via dynamic coupling 

Synchronization of directed hypergraphs with heterogeneities via dynamic coupling 

3/9/2026
Publication
Synchronization of directed hypergraphs with heterogeneities via dynamic coupling 
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Structure
Foundations
Data

Resources

Synchronization of directed hypergraphs with heterogeneities via dynamic coupling 

Sep 2026
Publication

The Informational Cost of Structure: Representational Complexity in Networked Dynamical Systems

Jul 2026
Publication

Compatibility of Higher-Order Slow-Manifold Reduction and Continuum Limits in Adaptive Networks

Jun 2026
Publication

Group adaptation drives opinion dynamics in higher-order networks

May 2026
Publication

Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives

May 2026
Publication

Hypergraphs and simplicial complexes in focus: a roadmap for future research in higher-order interactions

Apr 2026
Publication

Emergent Higher-Order Structure from Fast Adaptive Networks

Mar 2026
Publication
Next

Resources on Structure

Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives

May 2026
Publication

Hypergraphs and simplicial complexes in focus: a roadmap for future research in higher-order interactions

Apr 2026
Publication

Emergent Higher-Order Structure from Fast Adaptive Networks

Mar 2026
Publication

Simplicial Complex Emergence on Directed Hypergraphs

Dec 2025
Publication

Decoding how higher-order network interactions shape contagion dynamics

Aug 2025
Publication

Higher-order dissimilarity measures for hypergraph comparison

Mar 2025
Publication

What Are Higher-Order Networks?

Aug 2023
Publication

Resources on Foundations

Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives

May 2026
Publication

Hypergraphs and simplicial complexes in focus: a roadmap for future research in higher-order interactions

Apr 2026
Publication

Emergent Higher-Order Structure from Fast Adaptive Networks

Mar 2026
Publication

Higher-order dissimilarity measures for hypergraph comparison

Feb 2026
Publication

Simplicial Complex Emergence on Directed Hypergraphs

Dec 2025
Publication

Decoding how higher-order network interactions shape contagion dynamics

Aug 2025
Publication

What Are Higher-Order Networks?

Aug 2023
Publication

Resources on Data

Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives

May 2026
Publication

Hypergraphs and simplicial complexes in focus: a roadmap for future research in higher-order interactions

Apr 2026
Publication

Higher-order dissimilarity measures for hypergraph comparison

Feb 2026
Publication

Higher-order dissimilarity measures for hypergraph comparison

Mar 2025
Publication

What Are Higher-Order Networks?

Aug 2023
Publication

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BeyondTheEdge: Higher-Order Networks and Dynamics is 
funded by the European Union under REA Grant Agreement No. 101120085. We also acknowledge support from the TUM–IAS.

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