Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory

Andy Domínguez-Monterroza; Antonio Jiménez-Martín; Alfonso Mateos Caballero

doi:10.1371/journal.pone.0347767

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Open Access

Peer-reviewed

Research Article

Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory

Andy Domínguez-Monterroza,

Roles Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

Affiliations Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Madrid, Spain, Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia

https://orcid.org/0000-0002-5274-7443

⨯
Antonio Jiménez-Martín,

Roles Funding acquisition, Investigation, Methodology, Supervision, Writing – review & editing

Affiliation Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Madrid, Spain

https://orcid.org/0000-0002-4947-8430

⨯
Alfonso Mateos Caballero

Roles Conceptualization, Funding acquisition, Investigation, Methodology, Supervision, Validation, Writing – review & editing

* E-mail: alfonso.mateos@upm.es

Affiliation Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Madrid, Spain

https://orcid.org/0000-0003-4764-6047

⨯

Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory

Andy Domínguez-Monterroza,
Antonio Jiménez-Martín,
Alfonso Mateos Caballero

Published: May 12, 2026
https://doi.org/10.1371/journal.pone.0347767

About the Authors

Andy Domínguez-Monterroza

Roles Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

Affiliations Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Madrid, Spain, Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia

https://orcid.org/0000-0002-5274-7443

Antonio Jiménez-Martín

Roles Funding acquisition, Investigation, Methodology, Supervision, Writing – review & editing

Affiliation Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Madrid, Spain

https://orcid.org/0000-0002-4947-8430

Alfonso Mateos Caballero

Roles Conceptualization, Funding acquisition, Investigation, Methodology, Supervision, Validation, Writing – review & editing

* E-mail: alfonso.mateos@upm.es

Affiliation Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Madrid, Spain

https://orcid.org/0000-0003-4764-6047

Competing Interests

The authors have declared that no competing interests exist.

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Curvature
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Finance
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Eigenvalues
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Network analysis
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COVID 19
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Entropy
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Stock markets
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Structure of markets
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